Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2000-05-10
Eur.Phys.J.A8:59-75,2000
Physics
Nuclear Physics
Nuclear Theory
17 pages, 8 figures. Accepted for publication in EPJA
Scientific paper
10.1007/s10050-000-4504-z
We discuss the pairing gap, a measure for nuclear pairing correlations, in chains of spherical, semi-magic nuclei in the framework of self-consistent nuclear mean-field models. The equations for the conventional BCS model and the approximate projection-before-variation Lipkin-Nogami method are formulated in terms of local density functionals for the effective interaction. We calculate the Lipkin-Nogami corrections of both the mean-field energy and the pairing energy. Various definitions of the pairing gap are discussed as three-point, four-point and five-point mass-difference formulae, averaged matrix elements of the pairing potential, and single-quasiparticle energies. Experimental values for the pairing gap are compared with calculations employing both a delta pairing force and a density-dependent delta interaction in the BCS and Lipkin-Nogami model. Odd-mass nuclei are calculated in the spherical blocking approximation which neglects part of the the core polarization in the odd nucleus. We find that the five-point mass difference formula gives a very robust description of the odd-even staggering, other approximations for the gap may differ from that up to 30% for certain nuclei.
Bender Martin
Maruhn Joachim A.
Reinhard Paul-Gerhard
Rutz K.
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