Effects of Thermodynamic Pairing on Nuclear Level Density

Nguyen Quang Hung, Dang Thi Dung, Tran Dinh Trong


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.


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

Full Text:



bibitem{Dean} D. J. Dean and M. Hjorth-Jensen, Rev. Mod. Phys. {bf 75} (2003) 607.

bibitem{BCS} J. Bardeen, L. Cooper, and J. Schrieffer, Phys. Rev. {bf 108} (1957) 1175.

bibitem{Moretto} L. G. Moretto, Phys. Lett. {bf B 40} (1972) 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.

bibitem{DangNPA784} N. Dinh Dang, Nucl. Phys. {bf A 784} (2007) 147.

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).

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.

DOI: https://doi.org/10.15625/0868-3166/22/4/408 Display counter: Abstract : 171 views. PDF : 85 views.


  • There are currently no refbacks.

Editorial Office:

Communications in Physics

1st Floor, A16 Building, 18B Hoang Quoc Viet Street, Cau Giay District, Hanoi, Vietnam

Tel: (+84) 024 3791 7102 

Email: cip@vjs.ac.vn

Copyright by