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

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.

10 pages, 10 figures. arXiv admin note: substantial text overlap with arXiv:0906.2594

References in corpus (5)

• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• BCS-BEC crossover of neutron pairs in symmetric and asymmetric nuclear matter
• Extended Skyrme interaction (II): ground state of nuclei and of nuclear matter
• Odd-even mass difference and isospin dependent pairing interaction
• Coulombic effect and renormalization in nuclear pairing

Cited by in corpus (12)

• Quasi-free (p,2p) and (p,pn) reactions with unstable nuclei
• Empirical pairing gaps, shell effects, and di-neutron spatial correlation in neutron-rich nuclei
• $N=Z$ nuclei: A laboratory for neutron-proton collective mode
• Role of pairing in the description of Giant Monopole Resonances
• Comparative study on charge radii and their kinks at magic numbers
• Tensor correlation, pairing interaction and deformation in Ne isotopes and Ne hypernuclei
• Indirect methods in nuclear astrophysics with relativistic radioactive beams
• Systematic trends of neutron skin thickness versus relative neutron excess
• Odd-even staggering in neutron drip line nuclei
• Odd-even mass staggering with Skyrme-Hartree-Fock-Bogoliubov theory
• A study of self-consistent Hartree-Fock plus Bardeen-Cooper-Schrieffer calculations with finite-range interactions
• Global study of separable pairing interaction in covariant density functional theory