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1

Capella, A. "Dual parton model." Surveys in High Energy Physics 16, no. 3-4 (December 2001): 175–86. http://dx.doi.org/10.1080/01422410108225691.

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2

Capella, A., U. Sukhatme, C. I. Tan, and J. Tran Thanh Van. "Dual parton model." Physics Reports 236, no. 4-5 (January 1994): 225–329. http://dx.doi.org/10.1016/0370-1573(94)90064-7.

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3

Hinchliffe, Ian, and Axel Kwiatkowski. "PARTON-MODEL SUM RULES." Annual Review of Nuclear and Particle Science 46, no. 1 (December 1996): 609–45. http://dx.doi.org/10.1146/annurev.nucl.46.1.609.

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4

Ranft, J. "The dual parton model." Nuclear Physics A 498 (July 1989): 111–22. http://dx.doi.org/10.1016/0375-9474(89)90592-7.

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5

Ravndal, Finn. "How I got to work with Feynman on the covariant quark model." International Journal of Modern Physics A 30, no. 01 (January 9, 2015): 1530009. http://dx.doi.org/10.1142/s0217751x15300094.

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In the period 1968–1974 I was a graduate student and then a postdoc at Caltech and was involved with the developments of the quark and parton models. Most of this time I worked in close contact with Richard Feynman and thus was present from the parton model was proposed until QCD was formulated. A personal account is presented how the collaboration took place and how the various stages of this development looked like from the inside until QCD was established as a theory for strong interactions with the partons being quarks and gluons.
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6

Kanazawa, Koichi, Cedric Lorcé, Andreas Metz, Barbara Pasquini, and Marc Schlegel. "Generalized TMDs." International Journal of Modern Physics: Conference Series 37 (January 2015): 1560037. http://dx.doi.org/10.1142/s201019451560037x.

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Generalized transverse-momentum dependent parton distributions (GTMDs) encode the most general parton structure of hadrons. In this contribution, which is largely based on a recent publication,1 we focus on two twist-2 GTMDs which are denoted by F1,4 and G1,1 in parts of the literature. As already shown previously, both GTMDs have a close relation to orbital angular momentum of partons inside a hadron. However, recently even the mere existence of F1,4 and G1,1 has been doubted. We explain why this claim does not hold. We support our model-independent considerations by calculating the GTMDs in two spectator models and in perturbative QCD. For the model results we also explicitly check the relation to the orbital angular momentum of partons inside hadrons.
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7

Chan, A. H., and C. K. Chew. "Parton branching model forpp¯collisions." Physical Review D 41, no. 3 (February 1, 1990): 851–62. http://dx.doi.org/10.1103/physrevd.41.851.

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8

YANG, C. B. "PARTICLE PRODUCTION AT RHIC FROM QUARK RECOMBINATION." International Journal of Modern Physics E 16, no. 10 (November 2007): 3148–59. http://dx.doi.org/10.1142/s0218301307009142.

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Particle production at RHIC is discussed within the framework of quark recombination model. After a short introduction on the anomalies discovered at RHIC, we will first present the basic physics ideas common for all the quark recombination models and different implementations in different research groups. Then the main focus turns to the approach of Oregon group. Feynman and Field's independent fragmentation process is re-interpreted in the quark recombination model. In this approach, hard partons with high virtuality evolves into a shower of semihard partons by radiating gluons which can convert into quark-antiquark pairs. Then different fragmentation functions can be rewritten in terms of only a few shower parton distributions within the recombination model. By fitting the data on the fragmentation functions, the shower parton distributions can be determined and then can be used in other processes together with the assumed exponential distributed soft parton distributions. Applications to the particle production at RHIC for both Au + Au and d + Au collisions in mid-rapidity are discussed. In particular, the suppression for meson production in central Au + Au collisions and Cronin effect in d + Au collisions are naturally explained within the recombination models. Finally, strange particle production is briefly discussed.
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9

Tung, Wu-Ki. "PARTON DISTRIBUTION FUNCTIONS AND THE QCD-IMPROVED PARTON MODEL — AN OVERVIEW." International Journal of Modern Physics A 02, no. 04 (August 1987): 1369–87. http://dx.doi.org/10.1142/s0217751x87000740.

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Some non-trivial features of the QCD-improved parton model relevant to applications on heavy particle production and semi-hard (small-x) processes of interest to collider physics are reviewed. The underlying ideas are illustrated by a simple example. Limitations of the naive parton formula as well as first order corrections and subtractions to it are dis-cussed in a quantitative way. The behavior of parton distribution functions at small x and for heavy quarks are discussed. Recent work on possible impact of unconventional small-x behavior of the parton distributions on small-x physics at SSC and Tevatron are summarized. The Drell-Yan process is found to be particularly sensitive to the small x dependence of parton distributions. Measurements of this process at the Tevatron can provide powerful constraints on the expected rates of semi-hard processes at the SSC.
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10

JENKOVSZKY, LÁSZLÓ L., VOLODYMYR K. MAGAS, J. TIMOTHY LONDERGAN, and ADAM P. SZCZEPANIAK. "EXPLICIT MODEL REALIZING PARTON–HADRON DUALITY." International Journal of Modern Physics A 27, no. 26 (October 18, 2012): 1250157. http://dx.doi.org/10.1142/s0217751x12501576.

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We present a model that realizes both resonance-Regge (Veneziano) and parton–hadron (Bloom–Gilman) duality. We first review the features of the Veneziano model and we discuss how parton–hadron duality appears in the Bloom–Gilman model. Then we review limitations of the Veneziano model, namely that the zero-width resonances in the Veneziano model violate unitarity and Mandelstam analyticity. We discuss how such problems are alleviated in models that construct dual amplitudes with Mandelstam analyticity (so-called DAMA models). We then introduce a modified DAMA model, and we discuss its properties. We present a pedagogical model for dual amplitudes and we construct the nucleon structure function F2(x, Q2). We explicitly show that the resulting structure function realizes both Veneziano and Bloom–Gilman duality.
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11

Yazdanpanah, M. M., A. Mirjalili, and A. Behjat Ramezani. "Mass and energy dependence of the transverse momentum densities in covariant parton model." Modern Physics Letters A 30, no. 27 (August 13, 2015): 1550133. http://dx.doi.org/10.1142/s0217732315501333.

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The parton densities which are dependent on transverse momentum, open a way to understand better the structure of quarks and gluons in a more complete way. We are investigating a method based on the covariant quark model which enables us to extract the transverse momentum dependent (TMD) densities from the usual parton densities which are just dependent on the longitudinal momentum. In continuation, we obtain the dependence of the TMDs on binding energy and the mass of quarks. We do some calculations to obtain the TMDs in the unpolarized case while the mass and binding energy of partons are varying. Considering these effects, the results for TMDs are in good agreement with the results of the recent related models.
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12

Müller, Berndt. "Parton Cascades in High-Energy Nuclear Collisions." International Journal of Modern Physics E 12, no. 02 (April 2003): 165–76. http://dx.doi.org/10.1142/s0218301303001247.

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This is a review of the parton cascade model (PCM) which provides a QCD-based description of nucleus-nucleus reactions at very high energy. The PCM describes the collision dynamics within the early and dense phase of the reaction in terms of the relativistic, probabilistic transport of perturbative excitations (partons) of the QCD vacuum, combined with the renormalization group flow of the parton virtuality. The current state of numerical implementations of the model, as well as its predictions for nuclear collisions at RHIC and LHC are discussed.
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13

Di Salvo, Elvio. "Predictions of the QCD Parton Model." Nuclear Physics B - Proceedings Supplements 174 (December 2007): 31–34. http://dx.doi.org/10.1016/j.nuclphysbps.2007.08.081.

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14

Fiore, R., A. Flachi, L. L. Jenkovszky, A. I. Lengyel, and V. K. Magas. "Explicit model realizing parton-hadron duality." European Physical Journal A 15, no. 4 (December 2002): 505–15. http://dx.doi.org/10.1140/epja/i2002-10047-3.

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15

Bass, S. A., R. J. Fries, and B. Müller. "Correlations in the Parton Recombination Model." Nuclear Physics A 774 (August 2006): 635–38. http://dx.doi.org/10.1016/j.nuclphysa.2006.06.103.

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16

Yan, Tung-Mow, and Sidney D. Drell. "The parton model and its applications." International Journal of Modern Physics A 29, no. 30 (December 8, 2014): 1430071. http://dx.doi.org/10.1142/s0217751x14300713.

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This is a review of the program we started in 1968 to understand and generalize Bjorken scaling and Feynman's parton model in a canonical quantum field theory. It is shown that the parton model proposed for deep inelastic electron scatterings can be derived if a transverse momentum cutoff is imposed on all particles in the theory so that the impulse approximation holds. The deep inelastic electron–positron annihilation into a nucleon plus anything else is related by the crossing symmetry of quantum field theory to the deep inelastic electron–nucleon scattering. We have investigated the implication of crossing symmetry and found that the structure functions satisfy a scaling behavior analogous to the Bjorken limit for deep inelastic electron scattering. We then find that massive lepton pair production in collisions of two high energy hadrons can be treated by the parton model with an interesting scaling behavior for the differential cross-sections. This turns out to be the first example of a class of hard processes involving two initial hadrons.
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17

Simonov, Yu A. "Nonperturbative approach to the parton model." International Journal of Modern Physics A 31, no. 06 (February 24, 2016): 1650016. http://dx.doi.org/10.1142/s0217751x16500160.

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In this paper, the nonperturbative parton distributions, obtained from the Lorentz contracted wave functions, are analyzed in the formalism of many-particle Fock components and their properties are compared to the standard perturbative distributions. We show that the collinear and IR divergencies specific for perturbative evolution treatment are absent in the nonperturbative version, however for large momenta [Formula: see text] (string tension), the bremsstrahlung kinematics is restored. A preliminary discussion of possible nonperturbative effects in DIS and high energy scattering is given, including in particular a possible role of multihybrid states in creating ridge-type effects.
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18

ISSE, M., T. HIRANO, R. MIZUKAWA, A. OHNISHI, K. YOSHINO, and Y. NARA. "JET-FLUID STRING FORMATION AND DECAY IN HIGH-ENERGY HEAVY-ION COLLISIONS." International Journal of Modern Physics E 16, no. 07n08 (August 2007): 2338–43. http://dx.doi.org/10.1142/s0218301307007908.

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We propose a new hadronization mechanism, jet-fluid string (JFS) formation and decay, to understand observables in intermediate to high-pT regions comprehensively. In the JFS model, hard partons produced in jet lose their energy in traversing the QGP fluid, which is described by fully three-dimensional hydrodynamic simulations. When a jet parton escapes from the QGP fluid, it picks up a partner parton from a fluid and forms a color singlet string, then it decays to hadrons. We find that high-pTv2 values in JFS are about two times larger than in the independent fragmentation model.
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19

SOHAILY, S., M. M. YAZDANPANAH, and A. MIRJALILI. "Q2-DEPENDENCE OF THE STATISTICAL PARTON DISTRIBUTIONS IN THE VALON APPROACH." International Journal of Modern Physics A 27, no. 16 (June 17, 2012): 1250083. http://dx.doi.org/10.1142/s0217751x12500832.

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We employ the statistical approach to obtain the nucleon parton distributions. Statistical distributions are considered as well for partons in the valon model in which a nucleon is assumed to be a state of three valence quark clusters (valon). Analytic expressions of the x-dependent of parton distribution functions (PDFs) in the valon model are obtained statistically in the whole x region [0, 1] in terms of the statistical parameters such as temperature, chemical potential and accessible volume. Since PDFs are obtained by taking the required sum rules including Gottfried sum rule at different energy scales, the Q2-dependence of these parameters can be obtained. Therefore the parton distributions as a function of Q2will be resulted. To make the calculations more precise, we extend our results to contain three flavors rather than two light u and d quarks.
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20

Martini, A. F., M. J. Menon, and D. S. Thober. "High-energy parton-parton amplitudes from lattice QCD and the stochastic vacuum model." Physical Review D 57, no. 5 (March 1, 1998): 3026–35. http://dx.doi.org/10.1103/physrevd.57.3026.

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21

Bopp, F. W., D. Pertermann, R. Engel, and J. Ranft. "New parton structure functions and minijets in the two-component dual parton model." Physical Review D 49, no. 7 (April 1, 1994): 3236–47. http://dx.doi.org/10.1103/physrevd.49.3236.

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22

Buccella, Franco, and Sozha Sohaily. "A check-up for the statistical Parton model." Modern Physics Letters A 30, no. 38 (November 23, 2015): 1550203. http://dx.doi.org/10.1142/s021773231550203x.

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We compare the Parton distributions deduced in the framework of a quantum statistical approach for both the longitudinal and transverse degrees of freedom with the unpolarized distributions measured at HERA and with the polarized ones proposed in a previous paper, which have been shown to be in very good agreement also with the results of experiments performed after that proposal. The agreement with HERA data in correspondence to very similar values for the “temperature” and the “potentials” found in the previous work gives a robust confirm of the statistical model. The unpolarized distributions are compared also with the result of NNPDF. The free parameters are fixed mainly by data in the range (0.1, 0.5) for the x variable, where the valence Partons dominate, and in the small x region for the diffractive contribution. This feature makes the parametrization proposed here very attractive.
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23

Sun, Bao-Dong, and Yu-Bing Dong. "ρ meson GPDs and IPDs with a light-front constituent quark model." EPJ Web of Conferences 199 (2019): 02028. http://dx.doi.org/10.1051/epjconf/201919902028.

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We investigate the ρ meson unpolarized Generalized Parton Distributions based on a Light-Front Constituent Quark Model. Moreover, by employing a Gaussian form wave packet, we apply the obtained generalized parton distributions to get the Impact Parameter dependent parton Distributions.
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24

PENG, RU, and HANLIN LI. "FRAGMENTATION FUNCTIONS OF GLUON SPLITTING INTO CHARMED HADRONS IN THE RECOMBINATION MODEL." Modern Physics Letters A 28, no. 33 (October 10, 2013): 1350133. http://dx.doi.org/10.1142/s0217732313501332.

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In the framework of the recombination model we determine the shower parton distributions (SPDs) with the fragmentation functions (FFs) for mesons and then predict the fragmentation functions for baryons. We get the fragmentation functions of gluon splitting into charmed hadrons. We show the relationship of fragmentation functions for mesons and baryons and find that they are not independent if the hadronization of the shower partons is taken into account.
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25

DOKSHITZER, YU L., V. A. KHOZE, and S. I. TROYAN. "INCLUSIVE PARTICLE SPECTRA FROM QCD CASCADES." International Journal of Modern Physics A 07, no. 09 (April 10, 1992): 1875–905. http://dx.doi.org/10.1142/s0217751x92000818.

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New results in applications of the analytical perturbative approach to the description of particle distributions in QCD jets are presented. We study inclusive energy spectra of partons from QCD cascades truncated at different values of the cutoff parameter Q0, which can be used to model the energy distributions of massive hadrons in the framework of the local parton-hadron duality hypothesis. Results of straightforward numerical calculations of parton distributions which solve the MLLA evolution equations are compared to approximate formulas representing the spectra in terms of a few analytically calculated shape parameters.
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26

BROWN, N. "MINIJETS, UNITARITY AND MULTIPLE PARTON SCATTERING." Modern Physics Letters A 04, no. 25 (November 30, 1989): 2447–55. http://dx.doi.org/10.1142/s0217732389002732.

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Multiple scattering of partons is an important prediction of the parton model in high energy [Formula: see text] collisions, which can have a dramatic effect on the calculation of inclusive jet cross-sections at low transverse momenta. We discuss the implications of multiple scattering using a probability model, where it is found that at high energies the effects are extremely important in semi-hard processes, as well as being extremely sensitive to the shape of the gluon distribution within a proton. We give some examples at SSC energies.
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27

Liu, Fu-Hu, Jia-Yu Chen, and Qiang Zhang. "Multisource Thermal Model Describing Transverse Momentum Spectra of Final-State Particles in High-Energy Collisions." Advances in High Energy Physics 2022 (March 3, 2022): 1–11. http://dx.doi.org/10.1155/2022/7274958.

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In this minireview article, the transverse momentum spectra of final-state particles produced in high-energy hadron-hadron, hadron-nucleus, and nucleus-nucleus collisions described by the multisource thermal model at the quark or parton level are summarized. In the model, the participant or contributor quarks or partons are considered to contribute together to the transverse momentum distribution of final-state particles with different modes of contributions. The concrete mode of contribution is generally determined by the difference of azimuthal angles of contributor partons in their emissions.
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28

Edin, A., and G. Ingelman. "A model for parton distributions in hadrons." Nuclear Physics B - Proceedings Supplements 79, no. 1-3 (October 1999): 189–91. http://dx.doi.org/10.1016/s0920-5632(99)00671-4.

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29

Kumano, S. "Nuclear shadowing in a parton recombination model." Physical Review C 48, no. 4 (October 1, 1993): 2016–28. http://dx.doi.org/10.1103/physrevc.48.2016.

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30

Bass, S. A., T. Renk, and D. K. Srivastava. "Photon Production in the Parton Cascade Model." Nuclear Physics A 783, no. 1-4 (February 2007): 367–78. http://dx.doi.org/10.1016/j.nuclphysa.2006.11.029.

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31

Capella, A., and C. A. Salgado. "Hyperon enhancement in the dual parton model." New Journal of Physics 2 (December 29, 2000): 30. http://dx.doi.org/10.1088/1367-2630/2/1/330.

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32

Jenkovszky, L. L. "Dual analytic model of generalized parton distributions." Physics of Atomic Nuclei 71, no. 2 (February 2008): 351–63. http://dx.doi.org/10.1134/s1063778808020166.

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33

Ranft, J. "Dual parton model at cosmic ray energies." Physical Review D 51, no. 1 (January 1, 1995): 64–84. http://dx.doi.org/10.1103/physrevd.51.64.

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34

Debbe, R., and Collaboration BRAHMS. "The Naive Parton Model and BRAHMS Measurements." Acta Physica Hungarica A) Heavy Ion Physics 21, no. 2-4 (November 1, 2004): 117–23. http://dx.doi.org/10.1556/aph.21.2004.2-4.4.

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35

Bass, Steffen A., Berndt Müller, and Dinesh K. Srivastava. "RHIC Physics with the Parton Cascade Model." Acta Physica Hungarica A) Heavy Ion Physics 24, no. 1-4 (October 1, 2005): 45–50. http://dx.doi.org/10.1556/aph.24.2005.1-4.7.

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36

Kostenko, Boris. "Quark-Parton Model and Relativistic Quantum Mechanics." EPJ Web of Conferences 173 (2018): 02012. http://dx.doi.org/10.1051/epjconf/201817302012.

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An attempt to treat the asymptotic freedom and the quark confinement as a self-consistent problem in the framework of relativistic quantum mechanics is realized. It is shown that the confinement of quarks induces a change of their helicities together with a simultaneous alteration of orbital momenta, so that the total angular momentum of each quark is conserved. This observation may cast light on the so-called proton spin puzzle after some additional numerical estimations.
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37

DI SALVO, ELVIO. "THE QCD PARTON MODEL: A USEFUL APPROXIMATION." Modern Physics Letters A 22, no. 24 (August 10, 2007): 1787–95. http://dx.doi.org/10.1142/s0217732307024152.

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Approximate relations among transverse momentum dependent quark distribution functions are established in the framework of the QCD parton model. The validity of such results survives QCD evolution effects, owing to the Politzer theorem on equations of motion. Furthermore the model fixes an energy scale, involved in the parametrization of the correlator, which determines the Q2 dependence of the azimuthal asymmetries in inclusive reactions. Some of the present data — in particular the sin 2ϕ single spin asymmetry in semi-inclusive deep inelastic scattering (SIDIS) and the cos ϕ asymmetry in unpolarized SIDIS — support model predictions. Further measurements of SIDIS and Drell–Yan asymmetries are suggested, in particular the SIDIS double spin asymmetry, which allows to determine approximately the proton transversity.
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38

Bass, Steffen A., Berndt Müller, and Dinesh K. Srivastava. "RHIC physics with the parton cascade model." Journal of Physics G: Nuclear and Particle Physics 30, no. 8 (July 20, 2004): S1283—S1286. http://dx.doi.org/10.1088/0954-3899/30/8/109.

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39

Sjöstrand, Torbjörn. "A model for initial state parton showers." Physics Letters B 157, no. 4 (July 1985): 321–25. http://dx.doi.org/10.1016/0370-2693(85)90674-4.

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40

Bass, SD, A. Schreiber, AW Thomas, and JT Londergan. "Improved Parton Distributions from the Quark Model." Australian Journal of Physics 44, no. 4 (1991): 363. http://dx.doi.org/10.1071/ph910363.

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There has recently been significant progress in the calculation of the twist-two piece of the quark/parton distributions corresponding to models like the MIT bag. However, in evaluating the required matrix elements of the quark field operators Signal and Thomas (1988, 1989) resorted to the Peierls-Yoccoz (1957) approximation-albeit with some cautionary remarks. We point out a problem with that approach which is solved by using the Peierls-Thouless (1962) approximation for the hadronic states. The very simple case of a nonrelativistic constant density quark wavefunction is solved in detail.
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41

Braun, M., and C. Pajares. "The criterion C in A parton model." Nuclear Physics A 532, no. 3-4 (October 1991): 678–94. http://dx.doi.org/10.1016/0375-9474(91)90604-5.

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42

SARCEVIC, INA. "KNO SCALING IN THE PARTON BRANCHING MODEL." Modern Physics Letters A 02, no. 07 (July 1987): 513–23. http://dx.doi.org/10.1142/s021773238700063x.

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We obtain a parton branching distribution Pmn of m quarks and n gluons. We show that this distribution does not obey exact KNO scaling. In the case when quark evolution is neglected, the probability distribution becomes wider as energy increases, in agreement with experimental data. We find that moments fit the data remarkably well with an increasing initial number of gluons and decreasing initial number of quarks. In this model, we predict the upper bounds for the probability distribution and multiplicity moments. We also give theoretical predictions for the multiplicities and moments for Tevatron Collider energies, indicating the slow narrowing of the probability distribution in this energy range.
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43

Sakai, S. "Charged-multiplicity distribution in parton branching model." Physical Review D 40, no. 5 (September 1, 1989): 1430–35. http://dx.doi.org/10.1103/physrevd.40.1430.

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44

RADYUSHKIN, ANATOLY V. "NEW MODEL FOR NUCLEON GENERALIZED PARTON DISTRIBUTIONS." International Journal of Modern Physics: Conference Series 25 (January 2014): 1460034. http://dx.doi.org/10.1142/s2010194514600349.

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We describe a new type of models for nucleon generalized parton distributions (GPDs) H and E. They are heavily based on the fact nucleon GPDs require to use two forms of double distribution (DD) representations. The outcome of the new treatment is that the usual "DD+D-term" construction should be amended by an extra term, [Formula: see text] which has the DD structure α/βe(β, α), with e(β, α) being the DD that generates GPD E(x, ξ). We found that this function, unlike the D-term, has support in the whole -1 ≤ x ≤ 1 region. Furthermore, it does not vanish at the border points |x| = ξ.
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45

Ranft, J., A. Capella, and J. Tran Thanh Van. "Strangeness production in the Dual Parton model." Physics Letters B 320, no. 3-4 (January 1994): 346–51. http://dx.doi.org/10.1016/0370-2693(94)90667-x.

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46

Kumano, S. "Nuclear gluon distributions in a parton model." Physics Letters B 298, no. 1-2 (January 1993): 171–75. http://dx.doi.org/10.1016/0370-2693(93)91725-3.

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47

Bass, S. D. "The trace anomaly and the parton model." Physics Letters B 342, no. 1-4 (January 1995): 233–38. http://dx.doi.org/10.1016/0370-2693(94)01405-2.

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48

Ratcliffe, P. G. "Orbital angular momentum and the parton model." Physics Letters B 192, no. 1-2 (June 1987): 180–84. http://dx.doi.org/10.1016/0370-2693(87)91163-4.

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49

Cohen-Tannoudji, G., and W. Ochs. "Jet model with exclusive parton hadron duality." Zeitschrift f�r Physik C Particles and Fields 39, no. 4 (December 1988): 513–19. http://dx.doi.org/10.1007/bf01555980.

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Broniowski, Wojciech, Enrique Ruiz Arriola, and Krzysztof Golec-Biernat. "Generalized Valon Model for Double Parton Distributions." Few-Body Systems 57, no. 6 (March 28, 2016): 405–10. http://dx.doi.org/10.1007/s00601-016-1087-z.

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