Effects of Thermodynamic Pairing on Nuclear Level Density

Nguyen Quang Hung, Dang Thi Dung, Tran Dinh Trong

Abstract


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.

Keywords


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

References


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.


Full Text: PDF

Refbacks

  • There are currently no refbacks.


Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.

Published by Vietnam Academy of Science and Technology