Global investigation of odd-even mass differences and radii with isospin dependent pairing interactions

TL;DR

This study uses Hartree-Fock+BCS calculations with isospin-dependent pairing interactions to systematically analyze odd-even mass differences and radii across a wide range of nuclei, highlighting the importance of isospin dependence.

Contribution

It introduces an optimized isospin-dependent pairing interaction within HF+BCS calculations and demonstrates its effectiveness in reproducing experimental odd-even mass differences and radii.

Findings

Isospin dependence is crucial for accurate odd-even mass differences in medium and heavy nuclei.

The model successfully reproduces experimental radii and mass differences across a broad nuclear chart.

Optimal pairing parameters improve the agreement between calculations and experimental data.

Abstract

The neutron and proton odd-even mass differences are systematically studied with Hartree-Fock+BCS (HFBCS) calculations with Skyrme interactions and an isospin dependent contact pairing interaction. The strength of pairing interactions is determined to reproduce empirical odd-even mass differences in a wide region of mass table. By using the optimal parameter, we perform global HF+BCS calculations of nuclei and compare with experimental data. The importance of isospin dependence of the pairing interaction is singled out for odd-even mass differences in medium and heavy isotopes. The proton and neutron radii are studied systematically by using the same model.