Odd-even mass difference and isospin dependent pairing interaction

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.

4 pages,3 figures, 1 able

References in corpus (6)

• Odd-Even Staggering of Nuclear Masses: Pairing or Shape Effect?
• Odd-even mass differences from self-consistent mean-field theory
• Pairing correlations. Part 2: Microscopic analysis of odd-even mass staggering in nuclei
• Pairing correlations. Part 1: description of odd nuclei in mean-field theories
• BCS-BEC crossover of neutron pairs in symmetric and asymmetric nuclear matter
• Large-Scale Self-Consistent Nuclear Mass Calculations

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• Properties of odd nuclei and the impact of time-odd mean fields: A systematic Skyrme-Hartree-Fock analysis
• Density dependence of the pairing interaction and pairing correlation in unstable nuclei
• Comparative study on charge radii and their kinks at magic numbers
• Global investigation of odd-even mass differences and radii with isospin dependent pairing interactions
• Nuclear energy functional with a surface-peaked effective mass: Global properties
• Odd-even staggering in neutron drip line nuclei
• Odd-even mass staggering with Skyrme-Hartree-Fock-Bogoliubov theory
• Finite temperature pairing re-entrance in drip-line ${}^{48}$Ni nucleus
• Isospin-density dependent pairing from infinite nuclear matter to finite nuclei
• Pairing correlations in exotic nuclei