Effects of Thermodynamic Pairing on Nuclear Level Density

Nguyen Quang Hung, Dang Thi Dung, Tran Dinh Trong
Author affiliations


  • Nguyen Quang Hung Tan Tao University, Long An, Vietnam
  • Dang Thi Dung Institute of Physics, VAST
  • Tran Dinh Trong Institute of Physics, VAST




Nuclear structure, pairing, BCS theory, finite temperature, level density


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.


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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.




How to Cite

N. Q. Hung, D. T. Dung and T. D. Trong, Effects of Thermodynamic Pairing on Nuclear Level Density, Comm. Phys. 22 (2013) 297. DOI: https://doi.org/10.15625/0868-3166/22/4/408.