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Journal articles on the topic 'Nilsson model'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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1

Patel, Kinnary, Mukesh S. Desai, and V. Potbhare. "Spectral averaging methods and Nilsson model." Physical Review C 59, no. 2 (February 1, 1999): 1199–202. http://dx.doi.org/10.1103/physrevc.59.1199.

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2

Stuchbery, Andrew E. "Magnetic behaviour in the pseudo-Nilsson model." Journal of Physics G: Nuclear and Particle Physics 25, no. 4 (January 1, 1999): 611–15. http://dx.doi.org/10.1088/0954-3899/25/4/007.

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3

Reimann, S. M., M. Brack, and Klavs Hansen. "Modified Nilsson model for large sodium clusters." Zeitschrift f�r Physik D: Atoms, Molecules and Clusters 28, no. 3 (September 1993): 235–45. http://dx.doi.org/10.1007/bf01437890.

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4

Pittel, S., A. Etchegoyen, and P. Federman. "Nilsson-based truncation of the nuclear shell model." Physical Review C 47, no. 1 (January 1, 1993): 399–402. http://dx.doi.org/10.1103/physrevc.47.399.

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5

Kvistholm, Johnny, Ingemar Ragnarsson, and Stephanie Reimann. "Nilsson model for a two-dimensional fermion system." Physica Scripta T125 (June 28, 2006): 202–3. http://dx.doi.org/10.1088/0031-8949/2006/t125/051.

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6

Bonatsos, Dennis, Andriana Martinou, I. E. Assimakis, S. K. Peroulis, S. Sarantopoulou, and N. Minkov. "Connecting the proxy-SU(3) symmetry to the shell model." EPJ Web of Conferences 252 (2021): 02004. http://dx.doi.org/10.1051/epjconf/202125202004.

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Proxy-SU(3) symmetry is an approximation scheme extending the Elliott SU(3) algebra of the sd shell to heavier shells. When introduced in 2017, the approximation had been justified by calculations carried out within the Nilsson model. Recently our group managed to map the cartesian basis of the Elliott SU(3) model onto the spherical shell model basis, proving that the proxy-SU(3) approximation corresponds to the replacement of the intruder orbitals by their de Shalit-Goldhaber partners, paving the way for using the proxy-SU(3) approximation in shell model calculations. The connection between the proxy-SU(3) scheme and the spherical shell model has also been worked out in the original framework of the Nilsson model, with identical results.

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7

Stuchbery, Andrew E. "Magnetic properties of rotational states in the pseudo-Nilsson model." Nuclear Physics A 700, no. 1-2 (March 2002): 83–116. http://dx.doi.org/10.1016/s0375-9474(01)01300-8.

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8

Mathur, Tripti, and Shankar Mukherjee. "Interpretation of backbending inMo100in a cranked Nilsson model with pairing." Physical Review C 44, no. 2 (August 1, 1991): 909–11. http://dx.doi.org/10.1103/physrevc.44.909.

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9

Caballero, J. A., and E. Moya De Guerra. "Momentum distributions in axially symmetric deformed nuclei: The Nilsson model." Nuclear Physics A 509, no. 1 (March 1990): 117–40. http://dx.doi.org/10.1016/0375-9474(90)90377-x.

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10

USHAKOV, I. V., A. N. VODIN, and G. K. KHOMYAKOV. "POPULATION OF ROTATION BANDS IN γ-DECAY OF ANALOG STATES IN 23Na." International Journal of Modern Physics E 18, no. 04 (April 2009): 1084–87. http://dx.doi.org/10.1142/s0218301309013294.

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The γ-decay from [Formula: see text] isobaric analog levels was studied in odd-mass nucleus 23 Na . The investigations were performed using the proton beam at E p = 1623, 1721, 1803 and 1835 keV. It was shown that during γ-decay, mainly low-lying levels of 23 Na are populated; among these levels, we could isolate rotational bands with [Formula: see text] and [Formula: see text], based on the seventh [Formula: see text] and ninth [Formula: see text] orbits of the Nilsson scheme, respectively. The intensities of the M1 transitions were compared with the results of the calculations within the Nilsson model.

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11

Wang, Yin, Feng Pan, Kristina D. Launey, Yan-An Luo, and J. P. Draayer. "Angular momentum projection for a Nilsson mean-field plus pairing model." Nuclear Physics A 950 (June 2016): 1–28. http://dx.doi.org/10.1016/j.nuclphysa.2016.03.012.

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12

SHELINE, RAYMOND K. "SYMMETRY BREAKING IN THE SPECTROSCOPY OF THE ODD-A Ra ISOTOPES." International Journal of Modern Physics E 02, no. 04 (December 1993): 657–77. http://dx.doi.org/10.1142/s0218301393000297.

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The spectroscopy of the odd-A Ra isotopes from 215 Ra through 227 Ra is analyzed to see the effects of octupole deformation on the transition from spherical nuclei (where the more degenerate shell model applies) to quadrupole deformed nuclei (where the less degenerate Nilsson model is operative). 215 Ra with 127 neutrons can be interpreted qualitatively in terms of the weak coupling of the levels in 214 Ra with the shell model states g9/2 and j15/2. 217 Ra and 219 Ra can be understood in terms of both shell model spectroscopy with octupole correlations and increasingly with 219Ra in terms of octupole deformed Nilsson levels. 221,223,225 Ra are all relatively good examples of the octupole deformed model with, however, some differences in the Coriolis coupling between low lying K=3/2± and K=1/2± parity doublet bands. The spectrum of 227 Ra shows the coexistence of both parity doublets and an octupole vibration expected for an octupole-quadrupole deformed system and a coexisting normal deformed system.

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13

Sheline, R. K., I. Ragnarsson, S. Aberg, and A. Watts. "Interpretation of the spectroscopy of24Mg; a comparison of the shell model and the Nilsson-Strutinsky model." Journal of Physics G: Nuclear Physics 14, no. 9 (September 1988): 1201–35. http://dx.doi.org/10.1088/0305-4616/14/9/008.

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14

Shohani, S., and A. Kardan. "Shape coexistence in even–even Po isotopic chain." International Journal of Modern Physics E 28, no. 10 (October 2019): 1950086. http://dx.doi.org/10.1142/s0218301319500861.

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The Po isotopes show the presence of coexisting structures having different deformations with increasing neutron number within the macroscopic–microscopic Nilsson–Strutinsky formalism. The model is based on the Lublin Strasbourg Drop (LSD) method for the macroscopic energy calculation. We study the shape evolution in a long chain of polonium isotopes, [Formula: see text]Po.

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15

PRÓCHNIAK, L. "QUADRUPOLE COLLECTIVE HAMILTONIAN WITH PAIRING VARIABLES INCLUDED." International Journal of Modern Physics E 14, no. 03 (April 2005): 463–69. http://dx.doi.org/10.1142/s0218301305003284.

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We present a collective model which contains both deformation and pairing degrees of freedom. Coupling of these modes is important for a reliable treatment of the quadrupole dynamics in transitional nuclei. The microscopic part of the model contains the Nilsson potential and the seniority pairing force and the collective hamiltonian is obtained by the ATDHFB method. Results for γ soft nuclei 110 Ru and 126 Ba are shown.

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16

Behkami, Aziz, and Soleiman Rasouli. "Study of selected fission reactions with the application of Nilsson orbitals." Nuclear Technology and Radiation Protection 26, no. 3 (2011): 245–48. http://dx.doi.org/10.2298/ntrp1103245b.

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Fission fragment angular anisotropies from neutron induced fission of 232Th and 235U were analyzed within the frame work of the statistical model. The analysis were made at neutron energies from threshold up to 50 MeV to deduce the variance K 2 of the K-distribution of levels in the transition nucleus. Our analysis shows, that the strength for the K-transition states comes mainly from the higher angular momentas and is in accordance with Nilsson model orbitals.

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17

Bengtsson, R., J. Dudek, W. Nazarewicz, and P. Olanders. "A systematic comparison between the Nilsson and Woods-Saxon deformed shell model potentials." Physica Scripta 39, no. 2 (February 1, 1989): 196–220. http://dx.doi.org/10.1088/0031-8949/39/2/002.

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18

Guan, Xin, Hang Li, Qi Tan, and Feng Pan. "Nilsson mean-field plus the extended pairing model description of rare earth nuclei." Chinese Physics C 35, no. 8 (August 2011): 747–52. http://dx.doi.org/10.1088/1674-1137/35/8/009.

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19

Wu, Hua, Cheng-Li Wu, Da Hsuan Feng, and Mike W. Guidry. "Finite particle number effects and the relationship of the fermion dynamical symmetry model with the Nilsson model." Physical Review C 37, no. 4 (April 1, 1988): 1739–50. http://dx.doi.org/10.1103/physrevc.37.1739.

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20

PAN, FENG, MING-XIA XIE, HONG CHEN, WEI BA, QUAN YUAN, and JERRY P. DRAAYER. "MEAN-FIELD PLUS VARIOUS TYPES OF PAIRING INTERACTIONS AND AN EXACT BOSON MAPPING OF THE REDUCED BCS PAIRING INTERACTION." International Journal of Modern Physics E 17, supp01 (December 2008): 386–97. http://dx.doi.org/10.1142/s0218301308012002.

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Exact solutions of Nilsson mean-field plus various type of pairing interactions are briefly reviewed. Some even-odd mass differences and moment of inertia of low-lying states for rare earth and actinide nuclei calculated in nearest-orbit pairing and extended pairing models and comparison with the corresponding experimental data are shown. An exact boson mapping of the reduced BCS pairing Hamiltonian is reported. In the mapping, fermion pair operators are mapped exactly to the corresponding bosons. The image of the mapping results in a Bose-Hubbard model with level dependent hopping.

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21

Chou, W. T., J. Y. Zhang, R. F. Casten, and D. S. Brenner. "Shell structure in empirical p-n interactions: comparison with Nilsson and shell model calculations." Physics Letters B 255, no. 4 (February 1991): 487–92. http://dx.doi.org/10.1016/0370-2693(91)90254-n.

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22

REIMANN, S. M., and S. FRAUENDORF. "POTENTIAL-ENERGY SURFACES OF SODIUM CLUSTERS WITH QUADRUPOLE, HEXADECAPOLE, AND TRIAXIAL DEFORMATIONS." Surface Review and Letters 03, no. 01 (February 1996): 25–29. http://dx.doi.org/10.1142/s0218625x96000073.

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Combining a modified Nilsson-Clemenger model with the shell-correction method, the potential-energy surfaces of sodium clusters with sizes of up to N = 200 atoms are calculated, including nonaxial deformations. For spherical clusters, the model potential is fitted to the single-particle spectra obtained from microscopically self-consistent Kohn-Sham calculations using the jellium model and the localdensity approximation. Employing the Strutinsky shell-correction method, the surface energy of the jellium model is renormalized to its experimental value. The ground-state shapes are determined by simultaneous minimization of the deformation energies for quadrupole, hexadecapole, and triaxial cluster deformations.

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23

Singh, Dhanvir, Arun Bharti, Amit Kumar, Suram Singh, G. H. Bhat, and J. A. Sheikh. "Study of odd mass 115−125Sb isotopes with the projected shell model calculations." International Journal of Modern Physics E 26, no. 06 (June 2017): 1750041. http://dx.doi.org/10.1142/s0218301317500410.

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The projected shell model (PSM) with the deformed single-particle states, generated by the standard Nilsson potential, is applied to study the negative-parity high spin states of [Formula: see text] nuclei. The nuclear structure quantities like band structure and back-bending in moment of inertia have been calculated with PSM method and are compared with the available experimental data. In addition, the reduced transition probabilities, i.e., B[Formula: see text] and B[Formula: see text], are also obtained for the yrast band of these isotopes for the first time by using PSM wave function. A multi-quasiparticle structure has been predicted for [Formula: see text] isotopes by the present PSM calculations.

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24

Kota, V. K. B. "U(15) ⊗ U(30) symmetry scheme in the interacting boson-fermion model includinggbosons and the Nilsson model forW185." Physical Review C 33, no. 6 (June 1, 1986): 2218–21. http://dx.doi.org/10.1103/physrevc.33.2218.

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25

Assimakis, I. E., Dennis Bonatsos, Andriana Martinou, S. Sarantopoulou, S. Peroulis, T. J. Mertzimekis, and N. Minkov. "Magic numbers for shape coexistence." HNPS Proceedings 26 (April 1, 2019): 9. http://dx.doi.org/10.12681/hnps.1789.

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The increasing deformation in atomic nuclei leads to the change of the classical magic numbers (2,8,20,28,50,82…) which dictate the arrangement of nucleons in complete shells. The magic numbers of the three-dimensional harmonic oscillator (2,8,20,40,70,…) emerge at deformations around ε=0.6. At lower deformations the two sets of magic numbers antagonize, leading to shape coexistence. A quantitative investigation is performed using the usual Nilsson model wave functions and the recently introduced proxy–SU(3) scheme.

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26

LIANG, C. F., A. PÉGHAIRE, and R. K. SHELINE. "OCTUPOLE DEFORMATION IN 221Fr; E1 TRANSITION RATES." Modern Physics Letters A 05, no. 16 (July 10, 1990): 1243–50. http://dx.doi.org/10.1142/s0217732390001402.

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Experimental data following the alpha decay of 225 Ac are interpreted in terms of a spectroscopy in 221 Fr consistent with octupole deformation. However, the measured E1 transition probabilities suggest that the low lying bands in 221 Fr are considerably more mixed than in nuclei with slightly higher mass number. It is suggested that this mixing of states in 221 Fr is indicative of the partial collapse of Nilsson-like orbitals into more degenerate shell model orbitals.

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27

Ghanim, H. A., M. Kotb, M. D. Okasha, and A. M. Khalaf. "Features of Triaxial Superdeformed Bands in Odd Mass Nuclei Using the Cranked Nilsson–Strutinsky Model." Physics of Atomic Nuclei 84, no. 4 (July 2021): 433–40. http://dx.doi.org/10.1134/s106377882104013x.

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28

Saw, E. L., and C. T. Yap. "Vanishing Fermi to Gamow-Teller Mixing Ratio of the ß+ Decay of 58Co." Zeitschrift für Naturforschung A 45, no. 2 (February 1, 1990): 107–9. http://dx.doi.org/10.1515/zna-1990-0204.

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Abstract Since 1956, fourteen experimentally-deduced values of the Fermi to Gamow-Teller mixing ratio y = CvMF/CAMGT were published, varying from 0.05 to -0.36 with most values consistent with y = 0, particularly those from recent measurements. Our calculation, using the Nilsson model, yields y= 2.07 x 10-4, which can be taken as zero. Our result is therefore consistent with time-reversal invariance. Furthermore, the vanishing value of y arises both from the ΔT selection rule and the ΔK selection rule

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29

SHIHAB-ELDIN, A. A., J. O. RASMUSSEN, M. A. STOYER, D. G. BURKE, and P. E. GARRETT. "COMPARISON OF TWO-NEUTRON TRANSFER INTENSITIES IN RARE EARTH NUCLEI WITH PREDICTIONS OF MICROSCOPIC MODELS." International Journal of Modern Physics E 04, no. 02 (June 1995): 411–18. http://dx.doi.org/10.1142/s0218301395000134.

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The microscopic structure of 0+ states in well-deformed even-even nuclei was generated within a framework of exact diagonalization of the residual pairing and n−p forces in a seniority-zero Nilsson orbital basis. Available experimental results on the fraction of the L=0 two-neutron transfer intensity which goes to excited 0+ states are compared with microscopic model calculations, giving good overall agreement. Some prominent features of the experimental systematics appear to depend on details of the single-particle states, and are therefore better explained with a microscopic description than with the IBM.

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30

GUIDRY, MIKE, and CHENG-LI WU. "Symmetry and the Origin of Nuclear Deformation." International Journal of Modern Physics E 02, supp01 (January 1993): 17–49. http://dx.doi.org/10.1142/s0218301393000467.

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Evidence is presented that the systematic features of nuclear deformation are determined primarily by filling of the normal-parity shell model orbitals of the valence shells, and that abnormal-parity orbitals play important but sec ondary roles in the microscopic origin of deformation. This contradicts many common ideas concerning deformation, but is in accord with the point of view underlying the Fermion Dynamical Symmetry Model. We argue that the deformation systematics of the FDSM and the Nilsson model are mutually consistent, and that in the FDSM the n−p quadrupole residual interaction is responsible for deformation. The same principles applied to superdeformation indicate that abnormal parity orbitals have a much more direct influence on superdeformation than on normal deformation.

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31

Röpke, H., and P. M. Endt. "Renaissance of the Nilsson-model approach to light nuclei: The case of the A = 26 system." Nuclear Physics A 632, no. 2 (March 1998): 173–204. http://dx.doi.org/10.1016/s0375-9474(97)00624-6.

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32

Burglin, O., and N. Rowley. "Exact pairing calculations in a large Nilsson-model basis: comparison with BCS and Lipkin-Nogami methods." Nuclear Physics A 602, no. 1 (May 1996): 21–40. http://dx.doi.org/10.1016/0375-9474(96)00096-6.

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33

Zamick, L., S. Yeager, Y. Y. Sharon, and S. J. Q. Robinson. "Lawson method for obtaining wave functions and g factors of Ar isotopes." International Journal of Modern Physics E 28, no. 01n02 (February 2019): 1950002. http://dx.doi.org/10.1142/s0218301319500022.

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Lawson has shown that one can obtain sensible wave functions even in the weak deformation limit of the Nilsson model as long as one projects out states of good total angular momentum. We apply this method to obtain wave functions and magnetic [Formula: see text] factors of excited states of select even–even Ar isotopes with emphasis on the comparison of [Formula: see text]Ar and [Formula: see text]Ar. These [Formula: see text] factors are compared with the values that are obtained by matrix diagonalization in the same space using the WBT residual interaction.

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34

Bonatsos, Dennis, C. Daskaloyannis, P. Kolokotronis, and D. Lenis. "Nonlinear extension of the u(3) algebra as the symmetry algebra of the three-dimensional anisotropic quantum harmonic oscillator with rational ratios of frequencies and the Nilsson model." HNPS Proceedings 5 (February 19, 2020): 14. http://dx.doi.org/10.12681/hnps.2891.

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The symmetry algebra of the N-dimensional anisotropic quantum har- monic oscillator with rational ratios of frequencies is constructed by a method of general applicability to quantum superintegrable systems. The special case of the 3-dim oscillator is studied in more detail, because of its relevance in the description of superdeformed nuclei and nuclear and atomic clusters. In this case the symmetry algebra turns out to be a nonlinear extension of the u(3) algebra. A generalized angular momentum operator useful for labeling the degenerate states is constructed, clarifying the connection of the present formalism to the Nilsson model.

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35

Frank, A., S. Pittel, D. D. Warner, and J. Engel. "The pseudo-L scheme in strongly deformed Bose-Fermi systems and its relation to the Nilsson model." Physics Letters B 182, no. 3-4 (December 1986): 233–38. http://dx.doi.org/10.1016/0370-2693(86)90080-8.

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36

LI, Z. P., M. W. GUIDRY, C. L. WU, and D. H. FENG. "A NEW MICROSCOPIC VIEW OF NUCLEAR DEFORMATION." International Journal of Modern Physics E 03, no. 04 (December 1994): 1119–47. http://dx.doi.org/10.1142/s0218301394000334.

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The microscopic origin of deformation for heavy nuclei is discussed. Evidence is presented that the systematic features of nuclear deformation are determined primarily by filling of the normal-parity shell model orbitals of the valence shells, and that the abnormal-parity orbitals play crucial but subsidiary roles. This is in accord with the point of view underlying the Fermion Dynamical Symmetry Model. In addition, we demonstrate that the deformation systematics of the FDSM are consistent with those of the Nilsson model, despite their very different starting points, and that the assumptions of the FDSM are consistent with the assertion that the n-p quadrupole-quadrupole residual interaction is the essential reason for deformation. Finally, application of the same principles to superdeformation suggests that abnormal parity orbitals have a much more direct influence on superdeformation than on normal deformation.

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37

Zeghib, Sadek. "103Tc nuclear structure and systematic evolution of states of g9/2 parentage in odd-A 95, 97, 99, 101, 103Tc isotopes." Canadian Journal of Physics 93, no. 8 (August 2015): 862–70. http://dx.doi.org/10.1139/cjp-2014-0558.

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A systematic study of the evolution of the nuclear structure (at low and medium energies) of odd-A 95–103Tc isotopes is presented. These changes are indeed affected predominantly by changes in deformation and subsequently the position of the Fermi level. Hence a complete study of previously observed positive and negative parity states (at low and medium energies) of 103Tc in the framework of the particle–rotor model is performed. Experimental energies and transition properties will be compared to those predicted by the model calculations. The systematic model calculations show that those rotational “multiplets” emerging as a result of the larger Coriolis mixing, especially among positive-parity Nilsson states of g9/2 parentage in less deformed isotopes 95, 97, 99, 101Tc, are just as natural a prediction of the model as rotational bands built on states of good Ω in well deformed 103Tc (strong coupling) as confirmed experimentally.

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38

Kumar, Vikesh, and Shashi K. Dhiman. "Microscopic study of nuclear structure of odd-odd 128–138I nuclei within the framework of projected shell model for positive- and negative-parity states." Modern Physics Letters A 35, no. 29 (July 27, 2020): 2050243. http://dx.doi.org/10.1142/s0217732320502430.

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We have done the microscopic study of neutron-rich odd-odd iodine isotopes within the framework of projected shell model. Odd-odd nuclei are the best candidates for studying possible structure variations away from the valley of stability. We used the projected shell model, in which the deformed Nilsson single-particle states are being used for the construction of model basis. We studied the band properties of odd-odd I[Formula: see text](Z [Formula: see text] 53) isotopes with neutron numbers N [Formula: see text] 75, 77, 79, 81, 83 and 85. Using model analysis, we presented the low-lying positive- and negative-parity states of these nuclei. In these isotopes, the band structures have been analyzed in terms of quasi-particle configurations and comparative presentation of yrast levels is discussed. The phenomenon of yrast energy splitting is also studied in this work.

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39

Bruce, A. M., D. Hicks, and D. D. Warner. "Average resonance capture studies of 185, 187W: The Nilsson model and the SU(3) Bose-Fermi symmetry scheme." Nuclear Physics A 465, no. 2 (April 1987): 221–39. http://dx.doi.org/10.1016/0375-9474(87)90432-5.

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40

SHARMA, CHETAN, PREETI VERMA, SURAM SINGH, ARUN BHARTI, and S. K. KHOSA. "THEORETICAL INVESTIGATION OF POSITIVE PARITY BAND STRUCTURE OF Y AND Nb ISOTOPES." International Journal of Modern Physics E 21, no. 10 (October 2012): 1250081. http://dx.doi.org/10.1142/s0218301312500814.

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The positive parity band structure of odd mass neutron-rich 97 – 103 Y and 99 – 105 Nb nuclei has been studied using microscopic technique known as the projected shell model (PSM) with the deformed single-particle states generated by the standard Nilsson potential. The nuclear structure properties like yrast spectra, energy splitting, moment of inertia, rotational frequencies and reduced transition probabilities B(M1) and B(E2) have been calculated and their comparison with the available experimental data has been made. A shape evolution has also been predicted in these isotopes as one moves from 97 Y to 99 Y and 99 Nb to 101 Nb . The PSM calculations also demonstrate the multi-quasiparticle structure in these nuclei.

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41

Razavi, R., A. Rashed Mohassel, and S. Mohammadi. "Excited quasiparticles and entropy in 161,162Dy." International Journal of Modern Physics E 24, no. 11 (November 2015): 1550090. http://dx.doi.org/10.1142/s0218301315500901.

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In this paper, the nuclear level densities of [Formula: see text]Dy is studied by the use of a microscopic theory which includes nuclear pairing interaction. It is based on the modified harmonic oscillator model according to the Nilsson potential. The entropy of even–odd and even–even nuclei as a function of nuclear temperature is obtained. The entropy excess of [Formula: see text]Dy is compared with that of [Formula: see text]Dy. It is concluded that the difference is related to the entropy carried by the neutron hole coupled to the even–even core. The numbers of excited quasiparticles are calculated. Good agreement was observed between calculated results and the experimental data.

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42

GHERGHESCU, R. A., D. N. POENARU, A. SOLOVYOV, and W. GREINER. "DEFORMED SHELL CLOSURES FOR LIGHT ATOMIC CLUSTERS." International Journal of Modern Physics B 22, no. 28 (November 10, 2008): 4917–35. http://dx.doi.org/10.1142/s0217979208049170.

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The spheroidal shell model of the Nilsson type is used to describe the deformed states of atomic clusters. The Hamiltonian is analytically solved in cylindrical coordinates, where l2 term is treated as deformation-dependent. The usual asymptotic eigenfunctions are obtained for axially symmetric potentials without approximation, and the radial wave function usually employed for further computation is no longer needed. The energy levels obtained in such a way are used as input data for shell correction calculations. Minima due to shell effects are obtained as a function of the number of atoms in the atomic cluster as well as the δ-deformation-dependent. Calculations are performed for N up to 200, and spheroidally (oblate and prolate) deformed shell closures are predicted.

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43

Wang, P., Q. Xu, X. Lan, Z. Li, M. Li, X. Fang, M. Li, and H. Chen. "A novel EcoRII PCR-RFLP detecting genetic variation of goat <i>NF1-C2</i> gene and its association with milk yield (Brief Report)." Archives Animal Breeding 54, no. 2 (October 10, 2011): 224–26. http://dx.doi.org/10.5194/aab-54-224-2011.

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Abstract. The transcription factor nuclear factor1-C2 (NF1-C2) mediates the action of prolactin in the mammary gland. Research on the molecular genetic mechanism of model system have indicated that the NF1-C2 gene plays an important role for the activation of several mammary gland specific genes (Nilsson et al. 2006). Moreover, the effects of prolactin on milk production traits have been reported in ruminant (Seriwatanachai et al. 2008). NF1-C2 may have a similar function in goat. To our knowledge polymorphisms of NF1-C2 gene have not been described in animals. Here a SNP of the caprine NF1-C2 was detected and a EcoRII PCR-RFLP was derived, that allowed to clearly detect NF1-C2 genotypes. Further investigation was conduct to evaluate the association between polymorphisms and milk yield at different lactation stages.

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Kharroube, K. A. "The Deformation Structure of the Nuclei 32S and 36Ar." JOURNAL OF ADVANCES IN PHYSICS 13, no. 2 (March 16, 2017): 4678–88. http://dx.doi.org/10.24297/jap.v13i2.6028.

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We applied two different approaches to investigate the deformation structures of the two nuclei S32 and Ar36 . In the first approach, we considered these nuclei as being deformed and have axes of symmetry. Accordingly, we calculated their moments of inertia by using the concept of the single-particle SchrÃ¶dinger fluid as functions of the deformation parameter Î². In this case we calculated also the electric quadrupole moments of the two nuclei by applying Nilsson model as functions of Î². In the second approach, we used a strongly deformed nonaxial single-particle potential, depending on Î² and the nonaxiality parameter Î³ , to obtain the single-particle energies and wave functions. Accordingly, we calculated the quadrupole moments of S32 and Ar36 by filling the single-particle states corresponding to the ground- and the first excited states of these nuclei. The moments of inertia of S32 and Ar36 are then calculated by applying the nuclear superfluidity model. The obtained results are in good agreement with the corresponding experimental data.

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Kharroube, K. A. "Study of Even <sup>230-238</sup>U Isotopes by Using Cranked Nilsson Model, Single Particle Schrodinger Fluid and Collective Model." Open Journal of Microphysics 07, no. 02 (2017): 36–52. http://dx.doi.org/10.4236/ojm.2017.72003.

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DOMA, S. B., and H. S. EL-GENDY. "SOME DEFORMATION PROPERTIES OF THE EVEN–EVEN YTTERBIUM, HAFNIUM AND TUNGSTEN NUCLEI." International Journal of Modern Physics E 21, no. 09 (September 2012): 1250077. http://dx.doi.org/10.1142/s0218301312500772.

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The deformation structure of the even–even ytterbium, hafnium and tungsten nuclei is investigated in framework of the collective model, the single-particle Schrödinger fluid model and the cranked Nilsson model. Accordingly, we have calculated the rotational and vibrational energies, the nuclear moments of inertia, the total ground-state energy, the quadrupole moment, the liquid drop (LD) energy, the Strutinsky inertia, the LD inertia, the volume conservation factor [Formula: see text], the smoothed energy, the Bardeen, Cooper and Schrieffer (BCS) energy and the G-value of the ytterbium: 170 Yb , 172 Yb and 174 Yb , hafnium: 176 Hf , 178 Hf and 180 Hf and tungsten: 182 W , 184 W and 186 W nuclei as functions of the deformation parameters β, γ, which are assumed to vary in the ranges (-0.50 ≤ β ≤ 0.50) and (0° ≤ γ ≤ 60°). Also, two polynomials in β are obtained to produce results in good agreement with the corresponding results for the total ground-state energy and the quadrupole moment of the mentioned nine nuclei.

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47

Sugiyama, Masahiro. "The Moisture Mode in the Quasi-Equilibrium Tropical Circulation Model. Part I: Analysis Based on the Weak Temperature Gradient Approximation." Journal of the Atmospheric Sciences 66, no. 6 (June 1, 2009): 1507–23. http://dx.doi.org/10.1175/2008jas2690.1.

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Abstract The moisture mode in a simplified version of the quasi-equilibrium tropical circulation model (QTCM) of Neelin and Zeng is analyzed. Perturbation expansion based on the ratio of temperature tendency to adiabatic cooling simplifies the system and dispersion relationship. The weak temperature gradient (WTG) approximation of Sobel, Nilsson, and Polvani naturally emerges as the dynamical balance of the moisture mode. The condition of the expansion can be phrased in terms of the nondimensional wavenumber and is satisfied in the tropics even for the planetary scale. The WTG growth rate equation demonstrates that the moisture mode is unstable when moist static energy sources such as cloud radiative forcing and gustiness-enhanced evaporation exceed its export. Wind-induced surface heat exchange does not affect the growth rate at the leading order, although it propagates the mode eastward in the mean easterly wind. For typical values of parameters, the time scale of moisture mode instability is several days. Nonlinear WTG calculations show that the moisture mode nonlinearly saturates by a thermodynamic limiting process. In the standard parameter regime, a phase diagram reveals two stable fixed points in addition to the unstable solution of radiative–convective equilibrium.

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Saxena, G., U. K. Singh, M. Kumawat, M. Kaushik, S. K. Jain, and Mamta Aggarwal. "Distinct ground state features and the decay chains of Z = 121 superheavy nuclei." International Journal of Modern Physics E 27, no. 09 (September 2018): 1850074. http://dx.doi.org/10.1142/s021830131850074x.

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A fully systematic study of even and odd isotopes [Formula: see text] of [Formula: see text] superheavy nuclei is presented in theoretical frameworks of Relativistic mean-field plus state dependent BCS approach and macroscopic–microscopic approach with triaxially deformed Nilsson-Strutinsky prescription. The ground state properties namely shell correction, binding energy, two- and one-proton and neutron separation energy, shape, deformation, density profile and the radius are estimated that show strong evidences for magicity in [Formula: see text], 228. Central depletion in the charge density due to large repulsive Coulomb field indicating bubble like structure is reported. A comprehensive analysis for the possible decay modes specifically [Formula: see text]-decay and spontaneous fission (SF) is presented and the probable [Formula: see text]-decay chains are evaluated. Results are compared with Finite Range Droplet Model (FRDM) calculations and the available experimental data which show excellent agreement.

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Gupta, J. B. "Phase transition at N = 92 in 158Dy." International Journal of Modern Physics E 25, no. 10 (October 2016): 1650076. http://dx.doi.org/10.1142/s0218301316500762.

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Beyond the shape phase transition from the spherical vibrator to the deformed rotor regime at [Formula: see text], the interplay of [Formula: see text]- and [Formula: see text]-degrees of freedom becomes important, which affects the relative positions of the [Formula: see text]- and [Formula: see text]-bands. In the microscopic approach of the dynamic pairing plus quadrupole model, a correlation of the strength of the quadrupole force and the formation of the [Formula: see text]- and [Formula: see text]-bands in [Formula: see text]Dy is described. The role of the potential energy surface is illustrated. The [Formula: see text] transition rates in the lower three [Formula: see text]-bands and the multi-phonon bands with [Formula: see text] and [Formula: see text] are well reproduced. The absolute [Formula: see text] [Formula: see text] serves as a good measure of the quadrupole strength. The role of the single particle Nilsson orbits is also described.

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50

Fryman-Sinkhorn, H., E. H. Wang, C. J. Zachary, J. H. Hamilton, A. V. Ramayya, G. H. Bhat, J. A. Sheikh, et al. "Possible very anharmonic one- and two-phonon γ-vibrational bands in 103Mo." International Journal of Modern Physics E 26, no. 05 (May 2017): 1750030. http://dx.doi.org/10.1142/s0218301317500306.

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High-spin levels of [Formula: see text]Mo have been reinvestigated by analyzing the high statistics [Formula: see text]-[Formula: see text]-[Formula: see text] and [Formula: see text]-[Formula: see text]-[Formula: see text]-[Formula: see text] coincidence data from the spontaneous fission of [Formula: see text]Cf taken with the Gammasphere detector array. Two bands and 30 new transitions have been identified. A potential energy surface calculation has been performed. The calculation confirmed the 3/2[Formula: see text][411] configuration of the ground state band and 5/2[Formula: see text][532] for the 346[Formula: see text]keV excited band, as assigned in the previous work. The two newly established bands were proposed to be one- and two-phonon [Formula: see text] vibrational bands coupling to the 5/2[Formula: see text][532] Nilsson orbital, respectively. Triaxial projected shell model calculations have been applied to explain the level structure and are found in good agreement with experimental data.

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