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Approximation of the microscopic effective pairing interaction by the off-shell T matrix for free nucleon-nucleon scattering
Authors:M Baldo  U Lombardo  É E Saperstein  M V Zverev
Institution:(1) Istituto Nazionale di Fisica Nucleare, Sezione di Catania, 57 Corso Italia, I-95129 Catania, Italya;(2) Dipartimento di Fisica, Università di Catania, 57 Corso Italia, I-95129 Catania, Italy;(3) Russian Research Centre Kurchatov Institute, pl. Kurchatova 1, Moscow, 123182, Russia
Abstract:The effective pairing interaction in the 1 S 0 channel as calculated microscopically within the Brueckner method for a planar slab of nuclear matter by using the separable version of the Paris nucleon-nucleon potential is investigated. The effective interaction is determined for the model space including all negative-energy single-particle states. An analysis is performed for two values of the chemical potential, μ=?8 and ?4 MeV. It is shown that, to a high precision, the effective interaction can be approximated by the off-shell T matrix for free nucleon-nucleon interaction, the T matrix in question being taken at a negative value of the total energy of two nucleons E=2μ.
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