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qp formulation of pairing in a single nuclear j-shell

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We study here a nuclear system consisting of n nucleons in a (2j+1)-fold degenerate shell, interacting through a pure pairing force. On the background of the seniority scheme, we introduce an alternative formulation based on doubly deformed (qp) operators. By mapping onto qp boson space we postulate a qp Hamiltonian to describe the pairing correlations among this system. We have calculated the neutron pair separation energy based on this formulation. A fit to experimental data of Sn isotopes shows a good agreement.

Document Type: Miscellaneous

Affiliations: 1: Department of Physics, Faculty of Science, University of Batna, Avenue Boukhelouf M. El Hadin 05000 Batna, Algeria 2: Department of Physics, Faculty of Science, University of Constantine, Route Ain El Bey, 25000 Constantine, Algeria

Publication date: June 1, 2002

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