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1

Sarac, Yasemin. "Qcd Sum Rules For The Anticharmed Pentaquark." Phd thesis, METU, 2007. http://etd.lib.metu.edu.tr/upload/12608098/index.pdf.

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For the anti-charmed pentaquark state with and without strangeness a QCD sum rule analysis, which is one of the nonperturbative approaches, is presented. For this purpose we employ pentaquark currents with and without strangeness, with two different current for each case. To refine the sum rules we also consider the DN continuum contribution in our analysis since this procedure is important to identify the signal of the pentaquark state. While the sum rules for most of the currents are either non-convergent or dominated by the DN continuum, the one for the non-strange pentaquark current composed of two diquarks and an antiquark, is convergent and has a structure consistent with a positive parity pentaquark state after subtracting out the DN continuum contribution. Arguments are presented on the similarity between the result of the present analysis and that based on the constituent quark models, which predict more stable pentaquark states when the antiquark is heavy.
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2

Kanik, Inanc. "Light Cone Qcd Sum Rules And Meson Physics." Phd thesis, METU, 2008. http://etd.lib.metu.edu.tr/upload/2/12610082/index.pdf.

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In this thesis, we applied Light Cone QCD sum rules (LCSR) to several problems in meson physics. Semileptonic B->
eta l v decays are important to get information on Cabibbo-Kobayashi-Maskawa (CKM) matrix elements. We calculated form factors of this decay in LCSR frame. Our results are confirmed by later studies and these similar studies had been used for enhancing result on b to u quark transition matrix element of CKM matrix by BaBar collaboration. We used LCSR method also for calculating coupling constant of radiative rho ->
eta photon decay since the analysis of the vector particle to pseudoscalar particle radiative decay with eta and eta'
mesons in final state can provide insights to the long standing issue of the eta and eta'
mixing. Our result g_{rho eta photon}=(1.4 ±
0.2) is very close to experimental value g_{ rho eta photon} = (1.42 ±
0.12). We also calculated magnetic moment of the rho meson in LCSR frame which is an important parameter since it is strongly related to internal structure of hadron. Our result 2.3 ±
0.5 in units of (e/2m_rho), is in better agreement with lattice QCD results than traditional QCD sum rules. Quark contents of light scalar mesons are still under debate and we analyzed phi ->
K K decays which is important for understanding the quark content of the f0 meson. Our final result is g_{phi KK} = 4.9 ±
0.8 which is in well agreement with existing experimental result g_{phi KK} = 4.8.
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3

Chan, Chuan-Tsung. "Neutron electric dipole moment from QCD sum rules /." Thesis, Connect to this title online; UW restricted, 1996. http://hdl.handle.net/1773/9708.

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4

Lavelle, Martin Joseph. "Sum rules and non-perturbative parameters in QCD." Thesis, Imperial College London, 1986. http://hdl.handle.net/10044/1/38082.

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5

Zhang, Yingwen. "Applications of QCD sum rules at finite temperature." Doctoral thesis, University of Cape Town, 2013. http://hdl.handle.net/11427/30179.

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QCD Sum Rules is one of the most successful quantum field theory frameworks to extract hadronic information from QCD analytically. This technique is based on the Operator Product Expansion (OPE) and Cauchy's Theorem in the complex energy plane. OPE factorizes the short and long distance interactions where the former are calculated using perturbative theory, and the latter are parameterized in terms of the quark and gluon vacuum condensates. By using Cauchy's theorem, the results from QCD calculations can be matched to the hadronic channel, this is known as 'quark-hadron duality'. My Project involves using QCD Sum Rules to determine the behaviour of hadronic parameters of charmonium in the scalar and pseudoscalar channel and also light-light quark mesons in the vector and axial-vector channel at finite temperature. From our results of the behaviour of the width and the hadronic coupling at finite temperature, both channels of charmonium shows signs of survival beyond the deconfinement temperature Tc whereas the light-light quark mesons disappears at Tc. An extension of the method to finite density in. the axial-vector channel of light-light quark mesons also shows signs of disappearance at the deconfinement density μc.
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6

Mes, Alexes K. "Light Quark Masses from QCD Finite Energy Sum Rules." Master's thesis, Faculty of Science, 2019. http://hdl.handle.net/11427/30901.

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Due to quark-gluon confinement in QCD, the quark masses entering the QCD Lagrangian cannot be measured with the same techniques one would use to determine the mass of non-confined particles. They must be determined either numerically from Lattice QCD, or analytically using QCD sum rules. The latter makes use of the complex squared energy plane, and Cauchy’s theorem for the correlator of axial-vector divergences. This procedure relates a QCD expression containing the quark masses, with an hadronic expression in terms of known hadron masses, couplings, and lifetimes/widths. Thus, the quark masses become a function of known hadronic information. In this dissertation, the light quark masses are determined from a QCD finite energy sum rule, using the pseudoscalar correlator to six-loop order in perturbative QCD, with the leading vacuum condensates and higher order quark mass corrections included. The systematic uncertainties stemming from the hadronic resonance sector are reduced, by introducing an integration kernel in the Cauchy integral in the complex squared energy plane. Additionally, the issue of convergence of the perturbative QCD expression for the pseudoscalar correlator is examined. Both the fixed order perturbation theory (FOPT) method and contour improved perturbation theory (CIPT) method are explored. Our results from the latter exhibit good convergence and stability in the window s0 = 3.0 − 5.0 GeV2 for the strange quark and s0 = 1.5 − 4.0 GeV2 for the up and down quarks; where s0 is the radius of the integration contour in the complex s-plane. The results are: ms(2 GeV) = 91.8 ± 9.9 MeV, mu(2 GeV) = 2.6 ± 0.4 MeV, md(2 GeV) = 5.3 ± 0.4 MeV, and the sum mud ≡ (mu + md)/2, is mud(2 GeV) = 3.9 ± 0.3 MeV. They compare favourably to the PDG and FLAG world averages. Further in this dissertation the updated series expansion of the quark mass renormalization group equation (RGE) to five-loop order is derived. The series provides the relation between a light quark mass in the modified minimal subtraction (MS) scheme defined at some given scale, e.g. at the tau-lepton mass scale, and another chosen energy scale, s. This relation explicitly depicts the renormalization scheme dependence of the running quark mass on the scale parameter, s, and is important in accurately determining a light quark mass at a chosen scale. The five-loop QCD β(as) and γ(as) functions are used in this determination.
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7

Bodenstein, Sebastian W. "Precision determination of QCD fundamental parameters from Sum rules." Thesis, University of Cape Town, 2014. http://hdl.handle.net/11427/22630.

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8

Baytemir, Gulsen. "Analysis Of Kappa Meson In Light Cone Qcd Sum Rules." Master's thesis, METU, 2011. http://etd.lib.metu.edu.tr/upload/12613672/index.pdf.

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In the present work some hadronic properties of the scalar &kappa
meson are studied. Using the QCD sum rules approach, which is a nonperturbative method, the mass and the overlap amplitude of this meson are calculated. As well as the mass and the overlap amplitude, &kappa
&rarr
K^+&pi
^&minus
decay is also studied. For this decay the coupling constant g_&kappa
K^+&pi
^&minus
is obtained using light cone QCD sum rules which is an extension of the QCD sum rules method. Moreover, the coupling constant is calculated using the experimental decay width and it is compared with the value obtained in light cone QCD sum rules approach. The result of the calculation of g_&kappa
K^+&pi
^&minus
, the one obtained from light cone QCD sum rules approach, is also applied to acquire the f_0 &minus
&sigma
scalar mixing angle, &theta
s, using the ratio g^2 (&kappa
&rarr
K^+&pi
^&minus
)/g^2 (&sigma
&rarr
&pi
&pi
) obtained from experimental decay width. The value of scalar mixing angle is also compared with its experimental results.
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9

Chamoun, Nidal. "QCD sum rules and their applications to deep inelastic scattering." Thesis, University of Oxford, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.320232.

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10

Aydemir, Ufuk. "Strong Decays Of The Dsj (2317) Mesons Using Qcd Sum Rules." Master's thesis, METU, 2007. http://etd.lib.metu.edu.tr/upload/12608591/index.pdf.

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Unexpected properties of recently discovered mesons DsJ(2317) and DsJ(2460) have caused an excitement in the high energy community. These mesons are under experimental study in BaBar, Belle and CLEO. The experimental data on these mesons is quite limited at the moment, but it is expected to be improved in the following years. The unexpected properties of these mesons, such as the low mass, and small width, have caused speculations about their structure. Various models have been proposed which go beyond the simple quark-antiquark picture of the mesons, such as a meson molecule, or a four-quark state. Therefore, understanding the underlying structure of these mesons can reveal a deeper understanding of QCD. In this thesis, the strong decay of the DsJ(2317) meson, DsJ(2317)-->
Dspi0, is studied using three-point QCD Sum Rules method in the conventional cs framework. DsJ(2317) ->
Dspi0 decay violates isospin symmetry. Therefore, this decay is studied as a two stage process
an isospin conserving DsJ(2317) -->
Ds eta decay followed by the conversion of eta into a pi0 due to isospin violation.
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11

Fetea, Mirela Simona. "Pions and vector mesons at finite temperature from QCD sum rules." Doctoral thesis, University of Cape Town, 1998. http://hdl.handle.net/11427/9694.

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Bibliography: p. 89-92.
The temperature corrections to the current algebra Gell-Mann, Oakes and Renner(GMOR) relation in SU(2) X SU(2), the temperature behaviour of the pion mass and the q2 and T dependence of the ρππ vertex function in the space-like region are investigated.
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12

Thomas, Ronny. "In-Medium QCD Sum Rules for omega Meson, Nucleon and D Meson." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2009. http://nbn-resolving.de/urn:nbn:de:bsz:14-ds-1233231634620-61511.

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The modifications of hadronic properties caused by an ambient nuclear medium are investigated within the scope of QCD sum rules. This is exemplified for the cases of the omega meson, the nucleon and the D meson. By virtue of the sum rules, integrated spectral densities of these hadrons are linked to properties of the QCD ground state, quantified in condensates. For the cases of the omega meson and the nucleon it is discussed how the sum rules allow a restriction of the parameter range of poorly known four-quark condensates by a comparison of experimental and theoretical knowledge. The catalog of independent four-quark condensates is covered and relations among these condensates are revealed. The behavior of four-quark condensates under the chiral symmetry group and the relation to order parameters of spontaneous chiral symmetry breaking are outlined. In this respect, also the QCD condensates appearing in differences of sum rules of chiral partners are investigated. Finally, the effects of an ambient nuclear medium on the D meson are discussed and relevant condensates are identified
Die Veränderungen von Hadroneneigenschaften durch ein umgebendes nukleares Medium (Kernmaterie) werden mit der Methode der QCD-Summenregeln untersucht. Dies wird am Beispiel des omega-Mesons, des Nukleons und des D-Mesons vorgeführt. Durch die Summenregeln werden integrierte Spektraldichten dieser Hadronen in Beziehung zu Eigenschaften des QCD-Grundzustandes, quantifiziert in Kondensaten, gesetzt. Diskutiert wird am Beispiel des omega-Mesons und des Nukleons, wie diese Summenregeln eine Einschränkung des Parameterbereiches von wenig bekannten Vierquark-Kondensaten durch Vergleich von experimentellen und theoretischen Erkenntnissen erlauben. Ein Katalog unabhängiger Vierquark-Kondensate wird aufgestellt und Relationen zwischen diesen Kondensaten werden deutlich gemacht. Das Verhalten der Vierquark-Kondensate unter der chiralen Symmetriegruppe und der Zusammenhang mit Ordnungsparametern spontaner chiraler Symmetriebrechung werden behandelt. In dieser Hinsicht werden auch die in Differenzen der Summenregeln chiraler Partner eingehenden QCD-Kondensate untersucht. Schließlich werden die Effekte endlicher Kerndichten beim D-Meson diskutiert und relevante Kondensate identifiziert
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13

Dag, Huseyin. "Investigating The Semileptonic B To K_1(1270,1400) Decays In Qcd Sum Rules." Phd thesis, METU, 2010. http://etd.lib.metu.edu.tr/upload/12611865/index.pdf.

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Quantum Chromodynamics(QCD) is part of the Standard Model(SM) that describes the interaction of fundamental particles. In QCD, due to the fact that strong coupling constant is large at low energies, perturbative approaches do not work. For this reason, non-perturbative approaches have to be used for studying the properties of hadrons. Among several non-perturbative approaches, QCD sum rules is one of the reliable methods which is applied to understand the properties of hadrons and their interactions. In this thesis, the semileptonic rare decays of $B$ meson to $K_{1}(1270)$ and $K_{1} (1400)$ are analyzed in the framework of three point QCD sum rules approach. The $Brightarrow K_{1} (1270,1400) ell^+ ell^-$ decays are significant flavor changing neutral current (FCNC) decays of the $B$ meson, since FCNC processes are forbidden at tree level at SM. These decays are sensitive to the new physics beyond SM. The radiative $Brightarrow K_{1}(1270) gamma$ decay is observed experimentally. Although semileptonic $Bto K_1(1270,1400)$ decays are still not observed, they are expected to be observed at future B factories. These decays happens at the quark level with $brightarrow s ell^+ ell^- $ transition, providing new opportunities for calculating CKM matrix elements: $V_{tb}$ and $V_{ts}$. Applying three point QCD sum rules to $Brightarrow K_{1} (1270,1400) ell^+ ell^-$ decays is tricky, due to the fact that the $K_{1} (1270)$ and $K_{1} (1400)$ states are the mixtures of ideal $^{3}P_{1}(K_{1}^{A})$ and $^{1}P_{1}(K_{1}^{B})$ orbital angular momentum states. First, by taking axial vector and tensor current definitions for $K_1$ mesons, the transition form factors of $Brightarrow K_{1A} ell^+ ell^-$ and $Brightarrow K_{1B} ell^+ ell^-$ are calculated. Then using the definitions for $K_1$ mixing, the transition form factors of $Brightarrow K_{1} (1270,1400) ell^+ ell^-$ decays are obtained. The results of these form factors are used to estimate the branching ratio of $B$ meson into $K_1(1270)$ and $K_1(1400)$. The results obtained for form factors and branching fractions are also compared with the ones in the literature.
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14

Thomas, Ronny. "In-Medium QCD Sum Rules for omega Meson, Nucleon and D Meson." Doctoral thesis, Technische Universität Dresden, 2008. https://tud.qucosa.de/id/qucosa%3A23612.

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The modifications of hadronic properties caused by an ambient nuclear medium are investigated within the scope of QCD sum rules. This is exemplified for the cases of the omega meson, the nucleon and the D meson. By virtue of the sum rules, integrated spectral densities of these hadrons are linked to properties of the QCD ground state, quantified in condensates. For the cases of the omega meson and the nucleon it is discussed how the sum rules allow a restriction of the parameter range of poorly known four-quark condensates by a comparison of experimental and theoretical knowledge. The catalog of independent four-quark condensates is covered and relations among these condensates are revealed. The behavior of four-quark condensates under the chiral symmetry group and the relation to order parameters of spontaneous chiral symmetry breaking are outlined. In this respect, also the QCD condensates appearing in differences of sum rules of chiral partners are investigated. Finally, the effects of an ambient nuclear medium on the D meson are discussed and relevant condensates are identified.
Die Veränderungen von Hadroneneigenschaften durch ein umgebendes nukleares Medium (Kernmaterie) werden mit der Methode der QCD-Summenregeln untersucht. Dies wird am Beispiel des omega-Mesons, des Nukleons und des D-Mesons vorgeführt. Durch die Summenregeln werden integrierte Spektraldichten dieser Hadronen in Beziehung zu Eigenschaften des QCD-Grundzustandes, quantifiziert in Kondensaten, gesetzt. Diskutiert wird am Beispiel des omega-Mesons und des Nukleons, wie diese Summenregeln eine Einschränkung des Parameterbereiches von wenig bekannten Vierquark-Kondensaten durch Vergleich von experimentellen und theoretischen Erkenntnissen erlauben. Ein Katalog unabhängiger Vierquark-Kondensate wird aufgestellt und Relationen zwischen diesen Kondensaten werden deutlich gemacht. Das Verhalten der Vierquark-Kondensate unter der chiralen Symmetriegruppe und der Zusammenhang mit Ordnungsparametern spontaner chiraler Symmetriebrechung werden behandelt. In dieser Hinsicht werden auch die in Differenzen der Summenregeln chiraler Partner eingehenden QCD-Kondensate untersucht. Schließlich werden die Effekte endlicher Kerndichten beim D-Meson diskutiert und relevante Kondensate identifiziert.
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15

Gluckman, Gary Richard. "Determination of the charm- and beauty-quark masses from QCD sum rules." Master's thesis, University of Cape Town, 1994. http://hdl.handle.net/11427/17051.

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Bibliography: pages 58-59.
Ratios of Laplace QCD sum rules are used in order to determine the on-shell charm- and beauty-quark masses. After confronting the experimental data in the charmonium and bottonium systems with theory, we obtain mc = 1.46 ± 0.07 GeV and mb = 4.70 ± 0.07 GeV. The error is due to the uncertainties in the values of Λ and the gluon condensate.
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16

Azizi, Kazem. "Properties Of Light And Heavy Baryons In Light Cone Qcd Sum Rules Formalism." Phd thesis, METU, 2009. http://etd.lib.metu.edu.tr/upload/12610468/index.pdf.

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In this thesis, we investigate the masses, form factors and magnetic dipole moments of some light octet, decuplet and heavy baryons containing a single heavy quark in the framework of the light cone QCD sum rules. The magnetic dipole moments can be measured considering radiative transitions within a multiplet or between multiplets. Analyzing the transitions among the baryons and calculating the above mentioned parameters can give us insight into the structure of those baryons. In analyzing the aforementioned processes, the transition form factors play a crucial role. In this thesis, the form factors for these transitions are calculated using the light cone QCD sum rules approach. In the limit when the light quark masses are equal, mu = md = ms, QCD has an SU(3) flavour symmetry which can be used to classify the light baryons. This classification results in the light decuplet, octet and singlet baryons. The baryons containing single heavy quark, on the other hand, can be classified according to the spin of the light degrees of freedom in the heavy quark limit, mQ ->
infinity. QCD at low energies, when the baryons are formed, is a non-perturbative theory. Hence, for phenomenology of the baryons, the QCD sum rules as a more powerful non-perturbative approach is used. Understanding the properties of nucleons is one of the main objectives of QCD. To investigate the properties of the nucleons, the axial N-Delta(1232) transition form factors are calculated within the light cone QCD sum rules method. A comparison of our results on those form factors with the predictions of lattice QCD and quark model is presented. The nucleon electromagnetic form factors are also calculated in the same framework using the most general form of the nucleon interpolating current. Using two forms of the distribution amplitudes (DA&rsquo
s), predictions for the form factors are presented and compared with existing experimental data. It is shown that our results describe the existing experimental data remarkably well. Another important property of the baryons is their magnetic moments. The magnetic moments of the heavy Xi_Q (Q = b or c) baryons containing a single charm or bottom quark are calculated within the light cone QCD sum rules approach. A comparison of our results with the predictions of other approaches, such as relativistic and nonrelativistic quark models, hyper central model, Chiral perturbation theory, soliton and skyrmion models is presented. Moreover, inspired by the results of recent experimental discoveries for charm and bottom baryons, the masses and magnetic moments of the heavy baryons with J^2P = 3/2^+ containing a single heavy quark are studied also within the light cone QCD sum rules method. Our results on the masses of heavy baryons are in good agreement with predictions of other approaches, as well as with the existing experimental values. Our predictions on the masses of the states, which are not experimentally discovered yet, can be tested in the future experiments. A comparison of our results on the magnetic moments of these baryons and the hyper central model predictions is also presented.
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17

Alves, Ricardo Joao Gaio. "A convergent reformulation of perturbative QCD." Thesis, Durham University, 2000. http://etheses.dur.ac.uk/4259/.

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We present and explore a new formulation of perturbative QCD based not on the renormalised coupling but on the dimensional transmutation parameter of the theory and the property of asymptotic scaling. The approach yields a continued function, the iterated function being that involved in the solution of the two-loop β-function equation. In the so-called large-b limit the continued function reduces to a continued fraction and the successive approximants are diagonal Padé approximants. We investigate numerically the convergence of successive approximants using the leading-b approximation, motivated by renormalons, to model the all-orders result. We consider the Adler D-function of vacuum polarisation, the Polarised Bjorken and Gross-Llewellyn Smith sum rules, the (unpolarised) Bjorken sum rule, and the Minkowskian quantities R(_r) and the R-ratio of e(^+)e(^-) annihilation. In contrast to diagonal Fade approximants the truncated continued function method gives remarkably stable large-order approximants in cases where infra-red renormalon effects are important. We also use the new approach to determine the QCD fundamental parameters from the R(_r) and the R-ratio measurements, where we find Ā(^(3))(_MS)=516±48 MeV (which yields a(_s)(µ=m(_r))=0.360(^+0.021)(_=0.020)), and Ā(^(5))(_MS)=299(^+6)(_-7) MeV (which yields a(_s)(µ=m(_zo)=0.1218±0.0004), respectively. The evolution of the former value to the m(_zo) energy results in a(_s)(µ= m(_zo)) = 0.123 ± 0.002. These values are in line with other determinations available in the literature. We implement the Complete Renormalisation Group Improvement (CORGI) scheme throughout all the calculations. We report on how the mathematical concept of Stieltjes series can be used to assess the convergence of Padé approximants of perturbative series. We find that the combinations of UV renormalons which occur in perturbative QCD may or may not be Stieltjes series depending on the renormalisation scheme used.
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18

Matheus, Ricardo D'Elia. "\"Partículas exóticas em regras de soma da QCD\"." Universidade de São Paulo, 2006. http://www.teses.usp.br/teses/disponiveis/43/43134/tde-11042007-105115/.

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Neste trabalho usamos as regras de soma da QCD para calcular as massas e constantes de acoplamento ou decaimento dos estados exóticos theta+(1540) e cascata--(1862) (pentaquarks), dos mesons escalares charmosos DsJ+(2317), D0(2308) e D0(2405) e do meson axial X(3872). Os mesons foram também tratados como estados exóticos de quatro quarks (tetraquarks). Dois métodos de regra de soma foram aplicados e uma atenção especial foi dada aos limites de validade e incertezas da regra de soma. Em todos os casos encontramos resultados compatíveis com os dados experimentais existentes, mas no caso dos pentaquarks e dos mesons escalares as regras de soma têm algumas de suas condições violadas, levantando a questão sobre a existência das ressonâncias na forma em que foram propostas. Fizemos também uma previsão para um méson axial Xb, que é uma expansão para o setor botônico do modelo assumido para o X(3872).
In this work the QCD Sum Rules have been used to obtain masses and coupling or decay constants of the theta+(1540) and cascade--(1862) pentaquarks, the DsJ+(2317), D0(2308) and D0(2405) charmed scalar mesons and the X(3872) axial meson. The mesons have been treated as 4-quark exotic states (tetraquarks). Two sum rules methods have been used with special attention given to the limits and uncertainties of the sum rules. Results consistent with experimental data have been found in all cases, but some of the sum rules constraints have been violated in the calculation of the pentaquarks and scalar mesons, leaving questions about the existence of the states as they have been built here. A prediction was also made for the mass of a state expanding the model used for X(3872) to the botton sector, named Xb.
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19

Tandogan, Asli. "Study Of Dsj(2317) And Dsj(2460) Meson Properties Within The Quark Model And Qcd Sum Rules." Master's thesis, METU, 2007. http://etd.lib.metu.edu.tr/upload/12608592/index.pdf.

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The recently discovered DsJ(2317) and DsJ(2460) mesons had stimulated many theoretical and experimental studies due to their unexpected properties. In this thesis, we make a review of the predictions on the properties of these mesons using the quark model and QCD Sum Rules. We studied different models about the structure of these mesons, which are suggested because of their unexpected properties. Moreover, using the quark model which implies that the structure of DsJ meson as cs and QCD Sum Rules method, we investigated the semileptonic decay DsJ(2317)-->
D0 l nu.
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20

Emmerich, Maximilian [Verfasser], and Andreas [Akademischer Betreuer] Schäfer. "Decay Form factors for Λb,c and B with QCD sum rules / Maximilian Emmerich ; Betreuer: Andreas Schäfer." Regensburg : Universitätsbibliothek Regensburg, 2018. http://d-nb.info/1166950751/34.

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21

Foster, Martyn Stuart. "Adjoint sources, disconnected loops and other fruit of lattice QCD." Thesis, University of Liverpool, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.366408.

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22

Silva, Rômulo Rodrigues da. "\"Constantes de acoplamento a partir das regras de soma da QCD\"." Universidade de São Paulo, 2005. http://www.teses.usp.br/teses/disponiveis/43/43134/tde-22012007-140200/.

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Usamos as regras de soma da QCD para obter a massa dos pentaquarks \" \'teta\' POT.+\"(1540) e \"\'ksi\' POT.--\" (1862), a largura de decaimento da \"\'teta\' POT.+\" e a constante de acoplamento e fator de forma presentes no vertice J/ \'psi\' \"DD POT.*\". No estudo dos pentaquarks, usamos dois tipos de campos interpolantes contendo dois diquarks altamente correlacionados. Obtemos as massas consistentes com os dados experimentais, porém esta regra de soma têm uma grande contribuição do contínuo e a OPE não é muito boa. Obtivemos uma largura de decaimento compatível com os valores experimentais desde que sejam subtraídos diagramas que representam a \" \'teta\' POT.+\" como um estado ligado K - n. No estudo do vértice vertice J/ \'psi\' \"DD POT.*\" calculamos o fator de forma e a constante de acoplamento, considerando três casos: D off-shell, \"D POT.*\" off-shell e J/ \'psi\' off-shell. A constante de acoplamento é a mesma nesses três casos, porém o fator de forma depende da escolha da partícula off-shell, onde para a J/ \'psi\' off-shell o fator de forma é bem mais duro que o fator de forma obtido para os outros casos. Também comparamos os nossos resultados com outros métodos: o modelo de quark méson constituintes e o modelo de quarks relativísticos constituintes
We use the QCD sum rules to obtain the masses of the pentaquarks _+(1540) and _−−(1862), _+ decay width and the coupling constant and the form factor for the J/ DD* vertex.In the study of the pentaquarks, we use two kinds of interpolating fields, containing two highly correlated diquarks. We get the masses in a good agreement with the experimental value, but this sum rule has a large continuuum contribution and the OPE convergence is not so good. We get the decay width compatible with the experimental value, since we subtract the diagrams that represent _+ as a K − n bound state. In the study of J/ DD* vertex, we calculate the form factor and the coupling constant considering three cases: D off-shell, D* off-shell and J/ off-shell. The coupling constant is the same in those three cases, however the form factor depends on the choice of the particle off-shell, where for the J/ off-shell the form factor is much harder than the form factor obtained for the other cases. We also compare our results with other methods: the constituent quark meson model and the relativistic constituent quark model.
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23

Dias, Jorgivan Morais. "Estudo da largura de estados exóticos do Charmonium usando as regras de soma da QCD." Universidade de São Paulo, 2015. http://www.teses.usp.br/teses/disponiveis/43/43134/tde-06112015-132550/.

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Nesta tese, discutimos em detalhes a técnica das Regras de Soma da QCD (RSQCD) e suas aplicações em sistemas hadrônicos situados na região de massa do charmônio. Em particular, calculamos a massa, as constantes de decaimento e acoplamento, bem como a largura de decaimento dos estados $Y(4260)$,$Y(3940)$ e $Z_c^+(3900)$. Além disso, consideramos a existência do parceiro estranho deste último, o $Z^+_{cs}(3970)$, e calculamos sua largura de decaimento de modo a prever seu valor em futuros experimentos. Usamos modelos ditos exóticos para descrever tais estados. Para o $Y(4260)$ e o $Y(3940)$ usamos correntes de mistura charmônio - tetraquarks. Para os estados carregados usamos uma corrente de tetraquarks. Como resultado das aplicações das RSQCD nesses sistemas, obtivemos valores de massa e largura compatíveis com os valores experimentais medidos pelas colaborações BESIII, Belle, Babar e CLEO-c. Dessa forma, podemos afirmar que os modelos utilizados fornecem uma boa interpretação para esses estados. Investigamos também, aplicando técnicas de teorias efetivas, os estados carregados $Z^+_c(4025)$ e novamente o $Z_c^+(3900)$, além dos estados no setor do bottom $Z^+_b(10610)$ e $Z_b^+(10650)$. Usamos as Lagrangianas da Simetria Oculta de Calibre Local (HGS) e também as regras da Simetria de Spin do Quark Pesado (HQSS) para determinarmos as interações $D\\bar{D}^*$, $D^*\\bar{D}^*$, $B\\bar{B}^*$ e $B^*\\bar{B}^*$ via troca de mésons vetoriais pesados e devido à troca de dois píons correlacionados e não correlacionados entre si. Determinamos o potencial para cada interação e, com isso, procuramos por pólos na solução da matriz $T$ na equação de Bethe-Salpeter, cujo kernel é dado pelo potencial. Como resultado desses estudos, obtivemos para as interações no setor do charme, estados ligados cuja massa e largura estão em razoável acordo com os estados carregados $Z^+_c(4025)$ e $Z_c^+(3900)$. Para as interações no setor do bottom, obtemos um estado fracamente ligado próximo do limiar de massa $B\\bar{B}^*$ cuja largura e massa são compatíveis com a estrutura $Z_b^+(10610)$ observada pela Colaboração Belle. Obtivemos um cusp no limiar de massa $B^*\\bar{B}^*$ próximo do valor da estrutura $Z_b^ (10650)$
In this thesis, we discuss in details the QCD Sum Rules (QCDSR) technique and its application to the study of hadronic systems situated in the charmonium mass region. In particular, we applied QCDSR to calculate hadronic properties such as the mass, the coupling contants as well as the total decay width of the $Y(4260)$, $Y(3940)$ and $Z_c^+(3900)$ charmoniumlike states. We have also predicted the decay width of the strange partner of the $Z_c^+(3900)$, called $Z_{cs}^+(3970)$, to be searched in future experiments. In order to describe these states, we used exotic models. For $Y(4260)$ and $Y(3940)$ states we used mixed charmonium-tetraquarks interpolating currents. For the charged states we used tetraquark currents. As a result of the application of QCDSR to these systems, we obtained masses and decay widths in good agreement with the experimental values measured by BESIII, Babar, and CLEO-c collaborations. Therefore, the currents we used within QCDSR approach provide a good interpretation for these states. Furthermore, applying effective field theories techniques, we also investigated the charged states $Z_c^+(4025)$ and $Z_c^+(3900)$, in addition to $Z^+_b(10610)$ and $Z_b^+(10650)$ in the bottom sector. Specifically, we used hidden local symmetry Lagrangians (HGS) together with heavy quark spin symmetry rules (HQSS) in order to study the interactions $D\\bar{D}^*$, $D^*\\bar{D}^*$, $B\\bar{B}^*$ and $B^*\\bar{B}^*$ by means of the heavy vector exchange and also from the exchange of two pions, interacting and noninteracting among themselves. We obtained the potencial for each interaction, then we used them as a kernel of the Bethe-Salpeter equation in order to look for poles in the $T$-matrix. Our aim was to relate these poles with the charmoniumlike states of interest. As a result, in the charm sector, we obtained bound states whoses masses and widths are in a good agreement with the charged states we have studied. With respect to the bottom sector, we have found a loosely bound state very close to the $B\\bar{B}^*$ threshold with mass and width compatible with the structure $Z_b(10610)$ observed by Belle colaboration. We have obtained a cusp in the $B^*\\bar{B}^*$ threshold very close to the mass of the $Z_b^+(10650)$ state.
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24

Rodrigues, Bruno Osório. "O vértice D*Dp usando as regras de soma da QCD." Universidade do Estado do Rio de Janeiro, 2010. http://www.bdtd.uerj.br/tde_busca/arquivo.php?codArquivo=8776.

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A física de partículas vem atualmente estudando tópicos como o plasma de quarks e glúons (QGP), o bóson de Higgs e a matéria escura, que requerem experimentos de colisões entre partículas cada vez mais energéticas. Para isso, são necessários aceleradores capazes de gerar partículas projéteis a cada vez mais altas energias, o que pode levar a uma nova física. Quando novos dados surgem nos laboratórios, novos processos são necessários para explicar estes dados e algumas vezes a estrutura interna das partículas envolvidas é desconhecida. Nos modelos teóricos, usados para descrever estes processos de espalhamento, é comum introduzir o fator de forma. O fator de forma é simplesmente uma maneira de simular a sub-estrutura das partículas envolvidas nestes processos com função da energia ou momento. A obtenção dos atores de forma pode ser feita usando o método conhecido como Regras de Soma da QCD (RSQCD). Neste trabalho, será estudado o vértice D*Dp usando as RSQCD, de modo que seja possível obter os seus fatores de forma e sua constante de acoplamento. Para isso, foram estudados os casos em que o méson ρ e o méson D estão fora de suas camadas de massa. O vértice D*Dp é muito importante para entender melhor o ρπ Puzzle, onde o méson Ј/ψ decai ρπ em com um branching ratio maior do que o esperado (este é um processo suprimido pela regra de OZI). Estudando este processo com graus de liberdade mesnicos, é possível escapar da regra de OZI, uma vez que o processo Ј/ψ→ DD → ρπ não é suprimido por OZI. Ao se fazer isso, aparecerá, entre outros, o vértice D*Dp . Este é um vértice que também aparece em outros decaimentos, como por exemplo X(3872) →Ј/ψp e B→Ј/ψD. Ao final do desenvolvimento, os resultados obtidos neste trabalho para o vértice D*Dp foram comparados com outros encontrados na literatura, se mostrando compatíveis com estes outros trabalhos.
The particle physics have been studying topics like the Quark-Gluon Plasma (QGP), Higgs boson and dark matter, which require experiments in heavy-ion collisions. Therefore, accelerators capable of generate high energy particle beams are necessary and may generate new physics. When new data arise in the laboratories, new processes are necessary to explain this data and sometimes, the internal structure of the involved particles is unknow or are virtual. In the theoretical models, used to describe this scattering processes, is common to introduce the form factors. The form factor is a way to simulate the sub-structure of the involved particles as function of energy or momentum. The form factor can be obtained using a method called QCD Sum Rules (QCDSR). In this work, the vertex D*Dp will be studied using the QCDSR, in order to obtain its form factors and coupling constant.The D*Dp vertex is very important to understand the ρπ Puzzle, where the Ј/ψ meson decays in ρπ with a branching ratio bigger than expected (this is a suppressed process by the OZI Rule). Studying this process with hadronic degrees of freedom, its possible to escape of the OZI rule, once the Ј/ψ→ DD → ρπ is not suppressed by the OZI rule. In this process, the D*Dp vertex is necessary. There are other processes where this vertex is necessary: X(3872)→Ј/ψp and B→Ј/ψD for example. In this work, was only possible to obtain results from the ρ off-shell diagram. This results were compared with others obtained in the literature.
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25

Albuquerque, Raphael Moreira de. "Etats exotiques du Charmonium." Thesis, Montpellier 2, 2013. http://www.theses.fr/2013MON20024/document.

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Cette thèse a utilisé la méthode des règles de somme de QCD pour étudier la nature des résonances du charmonium suivantes: Y(3930), Y(4140), X(4350), Y(4260), Y(4360) et Y(4660). Il y a des fortes indications que ces états ont des structures hadroniques non conventionnelles (ou exotiques) lorsque leurs masses respectives et les modes de désintégration observés expérimentalement sont incompatibles avec ce qui est attendu pour l'état conventionnel du charmonium.Le même phénomène se produit dans le secteur du bottomonium, où les nouveaux états Yb(10890) et Yb(11020), observeés récemment pourraient indiquer l'existence de nouveaux états exotiques du bottomonium. De cette façon, on vérifie que l'état Y(4140) peut être décrit soit par une structure moléculaire D*s D*s (0++) ou par une mélange entre les états moléculaires D*s D*s (0++) et D*D* (0++). Les états Y(3930) et X(4350) ne peuvent pas être décrites par les courants moléculaires D*D* (0++) et D*s D*so (1-+), respectivement. On vérifie également que la structure moléculaire psi' f0(980) (1--) réproduit très bien la masse de l'état Y(4660). Une extension naturelle au secteur du bottomonium indique que l'état moléculaire Y' f0(980) est un bon candidat pour l'état Yb(10890). On a également fait une estimation pour les états moléculaires possibles formées par des mésons D et B, ce qui pourra être observé dans des expériences futures au LHC.Une vaste étude, en utilisant le formalisme habituel des règles de somme et aussi le Double Rapport des règles de somme, est fait pour calculer les masses des baryons lourds en QCD. Les estimations pour les masses des baryons avec un (Qqq) et deux (QQq) quarks lourds sont un excellent test pour la capacité de la méthode de règles de somme à prédire les masses des baryons qui n'ont pas encore été observés
The QCD sum rules approach was used to study the nature of the following charmonium resonances: Y(3930), Y(4140), X(4350), Y(4260), Y(4360) and Y(4660). There is strong evidence that these states have a non-conventional (or exotic) hadronic structures since their respective masses and decay channels observed experimentally are inconsistent with expected for a conventional charmonium state. The same phenomenon occurs on the bottomonium sector, where new states like Yb(10890) and Yb(11020) observed recently could indicate the existence of new bottomonium exotic states. In this way, one verifies that the state Y(4140) could be described as a D*s D*s (0++) molecular state or even as a mixture of D*s D*s (0++) and D*D* (0++) molecular states. For the Y(3930) and X(4350) states, both cannot be described as a D*D* (0++) and D*s D*s0 (1−+), respectively. From the sum rule point of view, the Y(4660) state could be described as a ψ' f0(980) (1−−) molecular state. The extension to the bottomonium sector is done in a straightforward way to demonstrate that the Y' f0(980) molecular state is a good candidate for describing the structure of the Yb(10890) state. In the following, one estimates the mass of the exotic Bc-like molecular states using QCD sum rules - these exotic states would correspond to a bound states of D(*) and B(*) mesons. All of these mass predictions could (or not) be checked in a near future experiments at LHC.A large study using the Double Ratio of sum rules approach has been evaluated for the study of the heavy baryon masses in QCD. The obtained results for the baryons with one (Qqq) and two (QQq) heavy quarks will be an excellent test for the capability of the sum rule approach in predicting mass of the baryons which have not yet been observed
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26

Júnior, Angelo Cerqueira da Cunha. "Fatores de forma em processos com mésons B." Universidade do Estado do Rio de Janeiro, 2013. http://www.bdtd.uerj.br/tde_busca/arquivo.php?codArquivo=7632.

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Neste trabalho calculamos os fatores de forma e constantes de acoplamento para os vértices B*sBK, B*BsK e BsBK* usando as Regras de Soma da Cromodinâmica Quântica (QCD). Ainda estão incluídos os diagramas não perturbativos. Nós usamos a técnica de considerar dois mésons fora da camada de massa para obter dois fatores de forma diferentes a fim de diminuir as incertezas. Os cálculos das incertezas foram incluídos neste trabalho.
In this work, we calculate the Form Factors and the Coupling Constants for the vertices B*sBK, BsB*K and BsBK* using the QCD Sum Rules. We use the technique of considering two mesons of shell to obtaining two differents form factors in order to give less uncertainty to the obtaining of the coupling constant. The evaluation of the uncertaints were included in this work.
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27

Hilger, Thomas [Verfasser], Burkhard [Akademischer Betreuer] Kämpfer, and Stefan [Akademischer Betreuer] Leupold. "Medium Modifications of Mesons : Chiral Symmetry Restoration, in-medium QCD Sum Rules for D and rho Mesons, and Bethe-Salpeter Equations / Thomas Hilger. Gutachter: Burkhard Kämpfer ; Stefan Leupold. Betreuer: Burkhard Kämpfer." Dresden : Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2012. http://d-nb.info/1067732659/34.

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28

Rodrigues, Bruno Osório. "Constantes de acoplamento de vértices com mésons estranhos e charmosos usando as regras de soma da QCD." Universidade do Estado do Rio de Janeiro, 2014. http://www.bdtd.uerj.br/tde_busca/arquivo.php?codArquivo=7046.

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Neste trabalho, foram calculados os fatores de forma e as constantes de acoplamento dos vértices mesônicos J/ψ DsDs, J/ψ Ds*Ds e J/ψ Ds*Ds*usando a técnica das regras de soma da QCD (RSQCD) até a ordem 5 da OPE. Estes três vértices estão envolvidos em algumas das numerosas hipóteses que tentam explicar a estrutura interna de alguns mésons charmosos exóticos que começaram a ser observados a partir de 2003. Tais mésons não se encaixam no espectro do charmonium e/ou apresentam números quânticos exóticos dentro do modelo CQM (constituent quark model). Um exemplo é o méson Y(4140), cujo decaimento observado é no par J/ψφ enquanto o esperado seria que tivesse decaimento predominante em mésons com open charm, devido à sua massa. Uma das propostas para se entender este méson consiste em estudá-lo como um estado molecular Ds*ar{D}s*, de modo que seu decaimento seria Y(4140) → Ds* ar{D}s* → J/ψφ. Neste processo, aparecerão os vértices de interação estudados neste trabalho, de maneira que o conhecimento mais preciso de seus fatores de forma e de suas constantes de acoplamento pode beneficiar a compreensão sobre a constituição fundamental do Y(4140) assim como a de outros novos estados como o X(4350), Y(4274) e Y(4660) por exemplo. Foram considerados neste trabalho, todos os casos off-shell possíveis para cada um dos três vértices, obtendo assim dois fatores de forma distintos para o vértice J/ψ DsDs, três para o vértice J/ψ Ds*Ds e dois para o vértice J/ψ Ds* Ds*. Nestes três vértices, os fatores de forma para o caso J/ψ off-shell foram bem ajustados por curvas monopolares enquanto os casos Ds e Ds* foram ajustados por curvas exponenciais, o que está de acordo com o comportamento encontrado em trabalhos anteriores do grupo. Os cálculos das constantes de acoplamento tiveram como resultados: g_{J/ψ Ds Ds} = 5.98^{+0.67}_{ -0.58}, g_{J/ψ D*s Ds} = 4.30_{+0.41}^{-0.35}GeV^{-1} e g_{J/ψ Ds* Ds*} = 7.47^{+1.04}_{-0.71}, resultados estes que estão compatíveis com os trabalhos anteriores que utilizaram as RSQCD para o cálculo das constantes de acoplamento dos vértices J/ψ D(*)D(*).
In this work, the form factors and coupling constants of the meson vertices J/ψ DsDs, J/ψ Ds*Ds and J/ψ Ds*Ds* have been calculated with the QCD sum rule (QCDSR) technique up to dimension 5 of the operator product expansion (OPE). These three vertices are involved in some of the numerous hypotheses that attempt to explain the internal structure of some exotic charmed mesons which began to be observed since 2003. Such mesons do not fit in the charmonium spectrum and/or have exotic quantum numbers within the CQM (constituent quark model). An example is the Y(4140) meson, which decays in the pair J/ψφ while the expected would be a dominant decay in open charm mesons. One of the proposals to understand this meson is to study it as a molecular state Ds*{D}s*, so it would decay as Y(4140)→ Ds* {D}s* → J/ψφ.In this process, the vertices studied in this work will appear, so the more accurate knowledge of their form factors and their coupling constants can benefit our understanding of the fundamental constitution of the Y(4140) as well as other new states as the X(4350), Y(4274) and Y (4660) eg. In this study all possible off-shell cases for each of these three vertices were considered, thus obtaining two different form factors for the vertex J/ψ DsDs, three for the vertex J/ψ Ds*Ds and two for the vertex J/ψ Ds* Ds*. In these three vertices, the form factors for the J/ψ off-shell case were well fitted by monopolar curves, while the Ds and Ds* off-shell cases were well fitted by exponential curves which is in agreement with the behavior found in previous work of the group. The calculations of the coupling constants leaded to the following results: g_{J/ψ Ds Ds} = 5.98^{+0.67}_{-0.58}, g_{J/ψ Ds* Ds} = 4.30^{+0.41}_{-0.35}GeV^{-1} and g_{J/ψ Ds* Ds*} = 7.47^{+1.04}_{-0.71}, these results are compatible with previous QCDSR works for the non strange vertices J/ψD(*)D(*).
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29

Hilger, Thomas. "Medium Modifications of Mesons." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2012. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-94078.

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Das Zusammenspiel von Hadronen und Modifikationen ihrer Eigenschaften auf der einen Seite und spontaner chiraler Symmetriebrechung und Restauration auf der anderen Seite wird untersucht. Es werden die QCD Summenregeln für D und B Mesonen in kalter Materie berechnet. Wir bestimmen die Massenaufspaltung von D - D-bar und B - B-bar Mesonen als Funktion der Kerndichte und untersuchen den Einfluss verschiedener Kondensate in der Näherung linearer Dichteabhängigkeit. Die Analyse beinhaltet ebenfalls D_s und D^*_0 Mesonen. Es werden QCD Summenregeln für chirale Partner mit offenem Charmfreiheitsgrad bei nichtverschwindenden Nettobaryonendichten und Temperaturen vorgestellt. Es wird die Differenz sowohl von pseudoskalaren und skalaren Mesonen, als auch von Axialvektor- und Vektormesonen betrachtet und die entsprechenden Weinberg-Summenregeln hergeleitet. Basierend auf QCD Summenregeln werden die Auswirkungen eines Szenarios auf das rho Meson untersucht, in dem alle chiral ungeraden Kondensate verschwinden wohingegen die chiral symmetrischen Kondensate ihren Vakuumwert behalten. Die komplementären Folgerungen einer Massenverschiebung und Verbreiterung der rho Mesonanregung werden diskutiert. Ein alternativer Zugang basierend auf gekoppelten Dyson-Schwinger- und Bethe-Salpeter-Gleichungen für Quarkbindungszustände wird untersucht. Zu diesem Zwecke wird die analytische Struktur des Quarkpropagators in der komplexen Ebene numerisch untersucht und die Möglichkeit getestet die Anwendbarkeit auf den Sektor der schwer-leicht Quark Systeme im skalaren und pseudoskalaren Kanal, wie dem D Meson, durch Variation des Impulsteilungsparameters zu erweitern. Die Lösungen der Dyson-Schwinger-Gleichung in der Wigner-Weyl-Phase der chiralen Symmetrie bei nichtverschwindenden Stromquarkmassen wird benutzt um den Fall einer expliziten Symmetriebrechung ohne spontane Symmetriebrechung zu untersuchen
The interplay of hadron properties and their modification in an ambient nuclear medium on the one hand and spontaneous chiral symmetry breaking and its restoration on the other hand is investigated. QCD sum rules for D and B mesons embedded in cold nuclear matter are evaluated. We quantify the mass splitting of D - D-bar and B - B-bar mesons as a function of the nuclear matter density and investigate the impact of various condensates in linear density approximation. The analysis also includes D_s and $D^*_0 mesons. QCD sum rules for chiral partners in the open-charm meson sector are presented at nonzero baryon net density or temperature. We focus on the differences between pseudo-scalar and scalar as well as vector and axial-vector D mesons and derive the corresponding Weinberg type sum rules. Based on QCD sum rules we explore the consequences of a scenario for the rho meson, where the chiral symmetry breaking condensates are set to zero whereas the chirally symmetric condensates remain at their vacuum values. The complementarity of mass shift and broadening is discussed. An alternative approach which utilizes coupled Dyson-Schwinger and Bethe-Salpter equations for quark-antiquark bound states is investigated. For this purpose we analyze the analytic structure of the quark propagators in the complex plane numerically and test the possibility to widen the applicability of the method to the sector of heavy-light mesons in the scalar and pseudo-scalar channels, such as the D mesons, by varying the momentum partitioning parameter. The solutions of the Dyson-Schwinger equation in the Wigner-Weyl phase of chiral symmetry at nonzero bare quark masses are used to investigate a scenario with explicit but without dynamical chiral symmetry breaking
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30

Albuquerque, Raphael Moreira de. "Estados Exóticos do Charmonium." Universidade de São Paulo, 2012. http://www.teses.usp.br/teses/disponiveis/43/43134/tde-06062013-170356/.

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Nesta tese de doutorado é utilizado o método das Regras de Soma da QCD para estudar a natureza dos novos estados ressonantes do charmonium: Y(3930), Y(4140), X(4350), Y(4260), Y(4360) e Y(4660). Há fortes evidências de que estes estados possuam estruturas hadrônicas não convencionais (ou exóticas) uma vez que as suas respectivas massas e canais de decaimento observados experimentalmente são inconsistentes com o que é esperado para o estado ressonante convencional do charmonium, J/psi. O mesmo fenômeno ocorre no setor do bottomonium, onde os novos estados Yb(10890) e Yb(11020) observados recentemente poderiam indicar a existência de novos estados exóticos do bottomonium. Neste sentido, verifica-se que o estado Y(4140) poderia ser descrito ou por uma estrutura molecular Ds*Ds* (0++) ou mesmo uma mistura entre estados moleculares Ds*Ds* (0++) e D*D* (0++). Já os estados Y(3930) e o X(4350) não podem ser descritos por correntes moleculares D*D* (0++) e Ds*Ds* (1-+), respectivamente. Verifica-se também que a estrutura molecular Psi(2S) f_0(980) (1--) descreve muito bem a massa do estado Y(4660). Uma extensão ao setor do bottomonium indica que o estado molecular Y(2S) f_0(980) é um bom candidato para descrever a estrutura do estado Yb(10890). É feita também uma estimativa para os possíveis estados moleculares formados por mésons D(*) e B(*), que poderão ser observados em futuros experimentos realizados pelo LHC. Um amplo estudo, utilizando o formalismo das Regras de Soma e também da Dupla Razão das Regras de Soma, é feito para calcular as massas dos bárions pesados na QCD. As estimativas para as massas dos bárions com um (Qqq) e com dois (QQq) quarks pesados são um excelente teste para a capacidade do método das regras de soma em prever a massa dos bárions que ainda não foram observados.
In this thesis, the QCD sum rules approach was used to study the nature of the new charmonium resonances: Y(3930), Y(4140), X(4350), Y(4260), Y(4360) and Y(4660). There is a strong evidence that these states have non-conventional (or exotic) hadronic structures since their respective masses and decay channels observed experimentally are inconsistent with what expected for a conventional charmonium state, J/psi. The same phenomenon occurs on the bottomonium sector, where new states like Yb(10890) and Yb(11020) observed recently could indicate the existence of new bottomonium exotic states. In this way, one verifies that the state Y(4140) could be described as a Ds*Ds* (0++) molecular state or even as a mixture of Ds*Ds* (0++) and D*D* (0++) molecular states. For the Y(3930) and X(4350) states, both cannot be described as a D*D* (0++) and Ds*Ds* (1-+), respectively. From a sum rule point of view, the Y(4660) state could be described as a Psi(2s) f_0(980) (1--) molecular state. The extension to the bottomonium sector is done in a straightforward way to demonstrate that the Y(2S) f_0(980) molecular state is a good candidate for describing the structure of the Yb(10890) state. In the following, one estimates the mass of the exotic Bc-like molecular states using QCD Sum Rules - these exotic states would correspond to bound states of D(*) and B(*) mesons. All of these mass predictions could (or not) be checked in a near future experiments at LHC. A large study using the Double Ratio of Sum Rules approach has been evaluated for the study of the heavy baryon masses in QCD. The obtained results for the unobserved heavy baryons, with one (Qqq) and two (QQq) heavy quarks will be an excellent test for the capability of the sum rule approach in predicting their masses.
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31

Shi, Fang. "QCD sum-rule study of scalar mesons." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1999. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape9/PQDD_0030/NQ63921.pdf.

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32

Andrieux, Vincent. "Polarisation of quarks and gluons inside the nucleon." Thesis, Paris 11, 2014. http://www.theses.fr/2014PA112244/document.

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Cette thèse présente un travail relatif à l'étude de la structure en spin longitudinal du nucléon. Le but est de déterminer la contribution des constituants du proton, quarks et gluons, à la formation de son spin 1/2. L'analyse s'appuie sur les données de l'expérience COMPASS qui bénéficie d'un faisceau de muons polarisés à 200 GeV diffusé sur les protons polarisés d'une cible d'ammoniac (NH₃) de 1,2 m de long. On mesure l'asymétrie de spin longitudinal des sections efficaces de diffusion profondément inélastique. On extrait la fonction de structure en spin du proton, g₁p, étendant la couverture cinématique mondiale à des régions inexplorées jusqu'à maintenant (0,0036 < x < 0,57; 1,03 < Q² (GeV/c)² < 96 et 23 < W² (GeV/c)² < 320). Les résultats, d'une grande précision statistique, sont inclus dans une analyse des données mondiales de g₁p, g₁d et g₁n (proton, deutéron et neutron) au 2ème ordre de QCD afin de paramétrer les distributions de quarks et de gluons polarisés. L'étendue de la couverture cinématique en x et Q² des données mondiales de g₁, un élément déterminant pour la sensibilité à la polarisation des gluons ΔG, s'avère trop limitée pour constituer une extraction précise de celle-Ci. Néanmoins, l'analyse QCD permet de déterminer la contribution du spin des quarks au spin du proton à 0.26<ΔΣ<0.33 à Q² = 3 (GeV/c)² dans le schéma MSbar. L'étude montre que l'incertitude principale sur ΔΣ est liée au choix des formes fonctionnelles utilisées dans la régression des données. Enfin, la règle de somme de Bjorken, qui constitue un test de QCD, est vérifiée avec une précision de 9% en utilisant les données de COMPASS uniquement
The work presented in this thesis is related to the study of the longitudinal spin structure of the nucleon. The aim is to determine the contribution to the spin 1/2 of the proton in terms of its constituents, quarks and gluons. The analysis is performed on the data taken with the COMPASS experiment, which benefits from a polarised muon beam at 200 GeV scattered off polarised protons from an ammonia target of 1.2 m long. The double longitudinal spin asymmetry of deep inelastic scattering cross-Section. The spin-Dependent structure function of the proton g₁p is derived from these measurements, which extend the kinematic world coverage to unexplored region so far (0,0036 < x< 0,57; 1,03 < Q² (GeV/c)² < 96 and 23 < W² (GeV/c)² < 320).The results obtained with a high statistical precision are included in a Next-To-Leading order QCD analysis of world g₁p, g₁d and g₁n (proton, deuteron and neutron) data to parametrise the polarised quark and gluon distributions. The g₁ world coverage of the x and Q² kinematic domain, which is a key point in the sensitivity to the gluon polarisation ΔG, turns out to be too limited for an accurate ΔG determination. Nevertheless, the QCD analysis allows to determine the quark spin contributions to the proton spin to 0.26<ΔΣ<0.33 at Q² = 3 (GeV/c)² in the MSbar scheme. The dominant uncertainty on ΔΣ is related to the choice of functional forms assumed in the fit. Finally, the Bjorken sum rule, which constitutes a fundamental test of QCD, is verified on the COMPASS data alone with a precision of 9%
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33

Yang, Kwei-Chou, and 楊桂周. "Topics in QCD Sum Rules." Thesis, 1994. http://ndltd.ncl.edu.tw/handle/65992116309331985857.

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博士
國立臺灣大學
物理研究所
82
In the method of QCD sum rules, roles played by quark condensates and by the gluon condensate are taken into account in the determination of the properties of hadrons. In this thesis, we use the method of QCD sum rules to calculate hadron properties. The first part is devoted to the neutron-proton mass difference. We attempt to include diagrams consistently up to dimension 9, assuming different up and down current-quark masses, and distinguish between <0.lgvert.:.ubar.u:.lgvert.0> and <0.lgvert.:.dbar.d:.lgvert.0> The second part describes the investigation of both the .DELTA.-N and .SIGMA.-.LAMBDA. mass splittings. In the case of the .Delta.-N mass splitting, our numerical results indicate that the mass splitting is dominated primarily by the quark-gluon condensate <0.lgvert.g_c\bar q .sigma._{.mu..nu.}(.lambda.^a/ 2)G^{.mu..nu.}_a q.lgvert.0>. In the case of .SIGMA.zero-.LAMBDA. mass splitting, we obtain a value of about 66 MeV, which is slightly smaller than the observed value of 77 MeV. In the final part of the thesis, we treat the semileptonic decay of D or B meson into a light meson and leptons, such as, .Bbar. zero .arrr. .pi.^+ e^- ..nu.bar. and D zero .arrr. K^{*-} e^+ .nu.. The application of the QCD sum rule method to such decays enables us to determine the relevant decay form factors in a certain range of q squared. The method allows us to include the strong interaction effects, in the determination of the Kobayashi-Maskawa (KM) matrix elements from the decay data.
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34

Huang, Cheng-Kuo, and 黃承國. "1^(-+)Hybrid Meson and QCD Sum Rules." Thesis, 2005. http://ndltd.ncl.edu.tw/handle/54872464604234542341.

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碩士
中原大學
應用物理研究所
93
We use the QCD sum rules approach to investigate the mass of the $J^{PC}=1^{-+}$ hybrid meson. After calculating the current-current correlator of the hybrid current $J_mu =overline{q}gamma_ u igG_{mu u}t^aq$, and using OPE expansion, we obtain the spectral function $Pi_{v,s}(q^2)$. We then get the QCD sum rules after applying the Borel transform to the spectral function. In this research, we also consider the next-to-leading order $alpha_s$-corrections in calculation. Finally, we find that the mass of the $J^{PC}=1^{-+}$ hybrid meson is $(1.35pm0.25) GeV$, and the mass of the $0^{++}$ meson may be of order $1 GeV$.
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35

"QCD sum rule studies of heavy quarkonium-like states." Thesis, 2012. http://hdl.handle.net/10388/ETD-2012-09-1319.

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In 2003 the Belle collaboration announced the discovery of the X(3872) particle. This was confirmed shortly thereafter by the CDF, D0 and BaBar collaborations, and later by the LHCb collaboration. Based on the decay modes that have been observed to date, it is clear that this particle is a hadron, that is, a composite particle that experiences the strong nuclear force. The X(3872) was found within a family of well understood hadrons called charmonia. Interestingly, it is quite difficult to interpret the X(3872) as a charmonium state. For this reason it has been widely speculated that the X(3872) cannot be understood in terms of the quark model, unlike the vast majority of hadrons observed to date. Such hitherto unobserved particles are called exotic hadrons. Since the discovery of the X(3872), many similarly anomalous charmonium-like particles have been discovered. As would be expected, some unanticipated hadrons have also been found in the closely related bottomonium spectrum. These particles are collectively referred to as heavy quarkonium-like. Evidence is growing that at least some of these particles are exotic hadrons. If confirmed, this would have dramatic implications for our understanding of the strong nuclear force. A major experimental and theoretical effort is now underway in the field of hadron spectroscopy to determine the identities of the heavy quarkonium-like states. In order to investigate the possibility that some of these states could be exotic hadrons, theoretical calculations are needed to firmly establish their properties. One of the main arguments for the existence of exotic hadrons is that they are predicted by the fundamental theory of the strong interaction, Quantum Chromodynamics (QCD). Therefore it is desirable to predict the properties of exotic hadrons using a theoretical approach that is firmly based in QCD. One such method is QCD sum rules (QSR). The research presented here uses the QSR technique to study exotic hadrons. There are several themes in this work. First is the use of QSR to predict the masses of exotic hadrons that may exist among the heavy quarkonium-like states. The second theme is the application of sophisticated loop integration methods in order to obtain more complete theoretical results. These in turn can be extended to higher orders in the perturbative expansion in order to predict the properties of exotic hadrons more accurately. The third theme involves developing a renormalization methodology for these higher order calculations. This research has implications for the Y(3940), X(3872), Zc(3895), Yb(10890), Zb(10610) and Zb(10650) particles, thereby contributing to the ongoing effort to understand these and other heavy quarkonium-like states.
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36

"QCD Correlation Functions of Light Quarkonium and Strangeonium Hybrids." Thesis, 2014. http://hdl.handle.net/10388/ETD-2014-05-1690.

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The correlation function is the critical ingredient for Quantum Chromodynamics (QCD) sum-rule methods that are used to predict hadronic properties. Thus, in order to perform a sum-rule analysis of hybrids, we need to compute a correlation function involving an operator that probes hybrid states composed to quark-antiquark pair with a gluonic excitation. Using particular combinations of quark and gluon fields and Dirac matrices, we construct currents that probe hybrid states with various J^{PC} quantum numbers. We compute the correlation function to order g_s^3 in QCD, obtaining both perturbative and condensate contributions. The focus here is on light quarkonium and strangeonium hybrids, which involve quark masses small compared to the external momentum scale (m_q^2 << Q^2). While for light quarkonium the calculations are performed in the massless limit, for strangeonium we include a strange quark mass correction to the perturbative result. While the details of the calculations outlined throughout this thesis are outlined for J^{PC} = 0^{+-} and 1^{--} due to interest in the exotic quantum numbers 0^{+-}, ultimately the correlation function is computed for all J^{PC} values with J=0,1. Comparison with existing results for a subset of these J^{PC} quantum numbers provides a validation of our calculations.
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37

Wen, Chih-Yi, and 溫志懿. "Parity-conserving and Parity-violating $\rho NN$ and $\omega NN$ couplings as derived from QCD sum rules." Thesis, 1997. http://ndltd.ncl.edu.tw/handle/84008303882423004172.

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博士
國立臺灣大學
物理學系
85
We extend the method of QCD sum rules in external fields to determinethe $\rho NN$ and $\omega NN$ strong and weak couplings, including boththe vector and tensor couplings. Such information has been used for yearsin construction of nuclear potentials, but our attempt represents thefirst direct contact with QCD in terms of the basic parameters associatedwith the nontrivial QCD vacuum. We will discuss the strong couplings inChapter 2.Parity-violating nuclear force, as can be accessed from parity violationstudies in nuclear systems, represents an area of nonleptonic weakinteractions which have been the subject of experimental investigationsfor decades. In the simple meson- exchange picture, parity-violatingnuclear force arises from exchange of $\pi$, $\rho$, $\omega$, or othermeson with strong meson-nucleon coupling at one vertex and weakparity-violating meson-nucleon coupling at the other vertex. Untilvery recently, parity-violating meson-nucleon couplings have beenestimated only on phenomenological grounds, such as in the now classicpaper of Desplanques, Donoghue, and Holstein (DDH). In Chapter 3, wewish to present a QCD sum rule determination of the parity-violating$ \rho NN$ and $\omega NN$ couplings, which turns out to be fairlycomplicated but nevertheless straightforward. Our present results,together with a previous study of the parity-violating $\pi NN$coupling, thus allow for a direct connection between parity-violatingnuclear force and the standard model of particle physics (consistingof Glashow-Salam-Weinberg electroweak theory and quantumchromodynamics [QCD] for strong interactions).
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38

Thomas, Ronny [Verfasser]. "In-medium QCD sum rules for ω meson [omega meson], nucleon and D meson = QCD-Summenregeln für im Medium modifizierte ω-Mesonen [Omega-Mesonen], Nukleonen und D-Mesonen / vorgelegt von Ronny Thomas." 2009. http://d-nb.info/993225810/34.

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39

Kwon, Youngshin [Verfasser]. "QCD sum rule studies at finite density and temperature / Youngshin Kwon." 2009. http://d-nb.info/1000455432/34.

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40

XIE, GUO-HAO, and 謝國豪. "One loop corrections to the coefficient function of the quark condensate inthe QCD sum rule for the δmeson." Thesis, 1992. http://ndltd.ncl.edu.tw/handle/25550513061729733409.

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