Abstract
An approach based on the local energy density functional method for describing the ground-state properties of superfluid nuclei is presented. A generalized variational principle is formulated which corresponds, in the weak pairing approximation, to a full treatment of the Hartree-Fock-Bogoliubov problem with an effective contact pairing interaction. The Gor’kov equations for generalized Green’s functions are treated exactly in the coordinate-space representation. The method is used to calculate the differential observables including odd-even mass differences and odd-even effects in charge radii which turn out to be very sensitive to the density dependence of the effective pairing force. A better knowledge of this density dependence allows one to make predictions for the pairing gap at the Fermi surface as a function of nuclear matter density.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
C. J. Pethick and D. G. Ravenhall, Annu. Rev. Nucl. Part. Sci. 45, 429 (1995).
A. C. Müller and B. M. Sherill, Annu. Rev. Nucl. Part. Sci. 43, 529 (1993).
G. F. Bertsch and H. Esbensen, Ann. Phys. (N.Y.) 209, 327 (1991).
J. Wambach, T. L. Ainsworth, and D. Pines, Nucl. Phys. A 555, 128 (1993).
Ø. Elgarøy, L. Engvik, M. Hjorth-Jensen, and E. Osnes, Nucl. Phys. A604, 466 (1996).
M. Baldo, U. Lombardo, E. E. Saperstein, and M. V. Zverev, Phys. Lett. B 350, 135 (1995).
D. Vautherin and D. M. Brink, Phys. Rev. C 5, 626 (1972).
J. Dechargé and D. Gogny, Phys. Rev. C 21, 1568 (1980).
E. Chabanat, P. Bonche, P. Hansel et al., Nucl. Phys. A 627, 710 (1997).
U. Regge and D. Zawischa, Comments At. Mol. Phys. 23, 257 (1989).
S. A. Fayans, S. V. Tolokonnikov, E. L. Trykov, and D. Zawischa, Phys. Lett. B 338, 1 (1994).
S. A. Fayans and D. Zawischa, Phys. Lett. B 383, 19 (1996).
E. Krömer, S. V. Tolokonnikov, S. A. Fayans, and D. Zawischa, Phys. Lett. B 363, 12 (1995).
S. T. Belyaev, A. V. Smirnov, S. V. Tolokonnikov, and S. A. Fayans, Yad. Fiz. 45, 1263 (1987) [Sov. J. Nucl. Phys. 45, 783 (1987)].
A. V. Smirnov, S. V. Tolokonnikov, and S. A. Fayans, Yad. Fiz. 48, 1661 (1988) [Sov. J. Nucl. Phys. 48, 995 (1988)].
P. Ring and P. Schuck, The Nuclear Many-Body Problem, Springer, New York, 1980.
S. A. Fayans, E. Kromer, S. V. Tolokonnikov et al., to be submitted to Nucl. Phys. A.
P. Hohenberg and W. Kohn, Phys. Rev. B 136, 864 (1964).
A. Bulgac, Preprint FT-194-1980, Central Institute of Physics, Bucharest, 1980.
J. Dobaczewski, W. Nazarewicz, T. R. Werner et al., Phys. Rev. C 53, 2809 (1996).
Author information
Authors and Affiliations
Additional information
Pis’ma Zh. Éksp. Teor. Fiz. 68, No. 4, 260–265 (25 August 1998)
Rights and permissions
About this article
Cite this article
Fayans, S.A., Tolokonnikov, S.V., Trykov, E.L. et al. Local energy density functional and density-dependent pairing in nuclear systems. Jetp Lett. 68, 276–282 (1998). https://doi.org/10.1134/1.567859
Received:
Issue Date:
DOI: https://doi.org/10.1134/1.567859