Odd-even mass difference and isospin dependent pairing interaction

TL;DR

This paper investigates neutron and proton odd-even mass differences using Hartree-Fock+BCS calculations with an isospin dependent pairing interaction derived from microscopic nucleon-nucleon forces, highlighting the role of isospin dependence in pairing correlations.

Contribution

It introduces an isospin dependent contact pairing interaction into HFBCS calculations and demonstrates its effectiveness in reproducing experimental mass differences.

Findings

Isospin dependence significantly affects pairing gaps.

Calculated results agree well with experimental data.

Highlights importance of microscopic interactions in nuclear pairing.

Abstract

The neutron and proton odd-even mass differences are studied with Hartree-Fock+BCS (HFBCS) calculations with Skyrme interactions and an isospin dependent contact pairing interaction, which is recently derived from a microscopic nucleon-nucleon interaction. To this end, we perform HFBCS calculations for even and odd semi-magic Tin and Lead isotopes together with even and odd Z isotones with $N$= 50 and 82. The filling approximation is applied to the last unoccupied particle in odd nuclei. Comparisons with the experimental data show a clear manifestation of the isospin dependent pairing correlations in both proton and neutron pairing gaps.