Effects of Thermodynamic Pairing on Nuclear Level Density
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https://doi.org/10.15625/0868-3166/22/4/408Keywords:
Nuclear structure, pairing, BCS theory, finite temperature, level densityAbstract
Thermodynamic properties of some selected even-even nuclei such as $^{56}$Fe, $^{60}$Ni, $^{98}$Mo, and $^{116}$Sn are studied within the Bardeen-Cooper-Schrieffer theory at finite temperature (FTBCS) taking into account pairing correlations. The theory also incorporates the particle-number projection within the Lipkin-Nogami method (FTLN). The level densities are derived based on the statistical theory of the grand-canonical ensemble (GCE). The results obtained are compared with the recent experimental data by Oslo (Norway) group. It is found that pairing correlations have significant effects on nuclear level density, especially at low and intermediate excitation energies.Downloads
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bibitem{Dean} D. J. Dean and M. Hjorth-Jensen, Rev. Mod. Phys. {bf 75} (2003) 607.
DOI: https://doi.org/10.1103/RevModPhys.75.607
bibitem{BCS} J. Bardeen, L. Cooper, and J. Schrieffer, Phys. Rev. {bf 108} (1957) 1175.
DOI: https://doi.org/10.1103/PhysRev.108.1175
bibitem{Moretto} L. G. Moretto, Phys. Lett. {bf B 40} (1972) 1.
DOI: https://doi.org/10.1016/0370-2693(72)90265-1
bibitem{Goodman} A. L. Goodman, Nucl. Phys. {bf A 352} (1981) 30; Phys. Rev. {bf C 29} (1984) 1887.
bibitem{Lipkin} H. J. Lipkin, Ann. Phys. (NY) {bf 9} (1960) 272; Y. Nogami and I. J. Zucker, Nucl. Phys. {bf 60} (1964) 203; Y. Nogami, Phys. Lett. {bf 15} (1965) 4.
bibitem{Oslo1} E. Melby et al., Phys. Rev. Lett. {bf 83} (1999) 3150; A. Schiller et al., Phys. Rev. {bf C 63} (2001) 021306(R); E. Algin et al., Phys. Rev. {bf C 78} (2008) 054321.
bibitem{Oslo2} M. Guttormsen et al., Phys. Rev. {bf C 62} (2000) 024306; R. Chankova et al., Phys. Rev. {bf C 73} (2006) 034311.
bibitem{HungPRC78} N. Quang Hung and N. Dinh Dang, Phys. Rev. {bf C 78} (2008) 064315.
DOI: https://doi.org/10.1103/PhysRevC.78.064315
bibitem{DangNPA784} N. Dinh Dang, Nucl. Phys. {bf A 784} (2007) 147.
DOI: https://doi.org/10.1016/j.nuclphysa.2006.11.075
bibitem{DangPRC77} N. Dinh Dang and N. Quang Hung, Phys. Rev. {bf C 77} (2008) 064315
bibitem{DOS} L. G. Moretto, Nucl. Phys. {bf A 185} (1972) 145; A. N. Behkami and J. R. Huizenga, Nucl. Phys. {bf A 217} (1973) 78.
bibitem{BSk14} S. Hilaire and S. Goriely, Nucl. Phys. {bf A 779} (2006) 63; S. Goriely, S. Hilaire, and A. J. Koning, Phys. Rev. {bf C 78} (2008) 064307.
bibitem{WS} S. Cwiok et al., Comput. Phys. Commun. {bf 46} (1987) 379.
bibitem{Beta2} S. Liu and Y. Alhassid, Phys. Rev. Lett. {bf 87} (2001) 022501; K. Kaneko et al., Phys. Rev. {bf C 74} (2006) 024325.
bibitem{Ring} P. Ring and P. Schuck, {it The Nuclear Many-Body Problem} (Springer-Verlag, New York, 1980).
DOI: https://doi.org/10.1007/978-3-642-61852-9
bibitem{TF} V. Zelevinsky, B. A. Brown, N. Frazier, and M. Horoi, Phys. Rep. {bf 276} (1996) 85; N. Dinh Dang and V. Zelevinsky, Phys. Rev. {bf C 64} (2001) 064319; N. Dinh Dang and A. Arima, Phys. Rev. {bf C 67} (2003) 014304.
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