Isovector neutron-proton pairing with particle number projected BCS

Details Isovector neutron-proton pairing with particle number projected BCS Isovector neutron-proton pairing with particle number projected BCS

2009-03-24

arxiv.org/abs/0903.4117v1

Phys.Rev.C80:044335,2009

Physics

Nuclear Physics

Nuclear Theory

14 pages,8 figures

Scientific paper

10.1103/PhysRevC.80.044335

The particle number projected BCS (PBCS) approximation is tested against the exact solution of the SO(5) Richardson-Gaudin model for isovector pairing in a system of non-degenerate single particle orbits. Two isovector PBCS wave functions are considered. One is constructed as a single proton-neutron pair condensate, while the other corresponds to a product of a neutron pair condensate and a proton pair condensate. The PBCS equations are solved using a recurrence method and the analysis is performed for systems with an equal number of neutrons and protons distributed in a sequence of equally spaced 4-fold (spin-isospin) degenerate levels. The results show that although PBCS improves significantly over BCS, the agreement of PBCS with the exact solution is less satisfactory than in the case of the SU(2) Richardson model for pairing between like particles.

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