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Pairing correlation involving the continuum states

By Naoki Tajima

Abstract

The Hartree-Fock-Bogoliubov equation for the ground states of even-even atomic nuclei is solved using the canonical representation in the coordinate space for zero range interactions like the Skyrme force. The gradient method is improved for faster convergence to the solutions under constraint of orthogonality between canonical orbitals. Necessity of the cut-off of the pairing interaction is shown even when the number of the canonical orbitals are restricted. A repulsive dependence of the interaction on the pairing density is introduced as an implementation of the cut-off which leaves the HFB super matrix state-independent.Comment: 9 pages in Latex, 6 Postscript figures, a style file included. Talk at International Symposium on Models and Theories of the Nuclear Mass, RIKEN, Wako, Japan, July 19-23, 1999. RIKEN Review can be obtained from http://www.riken.go.jp/lab-www/library/publication/review/contents.htm

Topics: Nuclear Theory
Year: 2000
OAI identifier: oai:arXiv.org:nucl-th/0002060

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