Effective pairing interactions with isospin density dependence

Details Effective pairing interactions with isospin density dependence Effective pairing interactions with isospin density dependence

2007-12-21

arxiv.org/abs/0712.3644v2

Phys.Rev.C77:054309,2008

Physics

Nuclear Physics

Nuclear Theory

Scientific paper

10.1103/PhysRevC.77.054309

We perform Hartree-Fock-Bogoliubov (HFB) calculations for semi-magic Calcium, Nickel, Tin and Lead isotopes and $N$=20, 28, 50 and 82 isotones using density-dependent pairing interactions recently derived from a microscopic nucleon-nucleon interaction. These interactions have an isovector component so that the pairing gaps in symmetric and neutron matter are reproduced. Our calculations well account for the experimental data for the neutron number dependence of binding energy, two neutrons separation energy, and odd-even mass staggering of these isotopes. This result suggests that by introducing the isovector term in the pairing interaction, one can construct a global effective pairing interaction which is applicable to nuclei in a wide range of the nuclear chart. It is also shown with the local density approximation (LDA) that the pairing field deduced from the pairing gaps in infinite matter reproduces qualitatively well the pairing field for finite nuclei obtained with the HFB method.

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