Density dependence of the pairing interaction and pairing correlation in unstable nuclei

Abstract

This work aims at a global assessment of the effect of the density dependence of the zero-range pairing interaction. Systematic Skyrme-Hartree-Fock-Bogoliubov calculations with the volume, surface and mixed pairing forces are carried out to study the pairing gaps in even-even nuclei over the whole nuclear chart. Calculations are also done in coordinate representation for unstable semi-magic even-even nuclei. The calculated pairing gaps are compared with empirical values from four different odd-even staggering formulae. Calculations with the three pairing interactions are comparable for most nuclei close to $\beta$-stability line. However, the surface interaction calculations predict neutron pairing gaps in neutron-rich nuclei that are significantly stronger than those given by the mixed and volume pairing. On the other hand, calculations with volume and mixed pairing forces show noticeable reduction of neutron pairing gaps in nuclei far from the stability.

9 pages, 10 figures, 3 tables, printer-friendly

References in corpus (9)

• Axially deformed solution of the Skyrme-Hartree-Fock-Bogolyubov equations using the transformed harmonic oscillator basis (II) HFBTHO v2.00d: a new version of the program
• Neutral $s$ States in Loosely Bound Nuclei
• Pairing interactions and the vanishing pairing correlations in hot nuclei
• Constraining the nuclear pairing gap with pairing vibrations
• Double binding energy differences: Mean-field or pairing effect?
• Number-conserving theory of nuclear pairing gaps: a global assessment
• Odd-even mass difference and isospin dependent pairing interaction
• Asymptotics of neutron Cooper pair in weakly bound nuclei
• Pairing properties of superheavy nuclei

Cited by in corpus (19)

• r-Process Nucleosynthesis: Connecting Rare-Isotope Beam Facilities with the Cosmos
• Recent developments in radioactive charged-particle emissions and related phenomena
• Empirical pairing gaps, shell effects, and di-neutron spatial correlation in neutron-rich nuclei
• Alpha decay as a probe for the structure of neutron-deficient nuclei
• Green's function method for the single-particle resonances in a deformed Dirac equation
• Exact solution of the pairing problem for spherical and deformed systems
• $N=Z$ nuclei: A laboratory for neutron-proton collective mode
• Global calculations on the microscopic energies and nuclear deformations: Isospin dependence of the spin-orbit coupling
• Dependence of two-proton radioactivity on nuclear pairing models
• Large-scale shell-model calculations on the spectroscopy of $N<126$ Pb isotopes
• Probing Surface Quantum Flows in Deformed Pygmy Dipole Modes
• Empirical residual neutron-proton interaction in odd-odd nuclei
• Constraints on the neutron drip-line with the newly observed 39Na
• Large enhancement of total reaction cross sections at the edge of the island of inversion in Ti, Cr, and Fe isotopes
• Odd-even mass staggering with Skyrme-Hartree-Fock-Bogoliubov theory
• Odd-even staggering in neutron drip line nuclei
• Correlations between nuclear landscape boundaries and neutron-rich r-process abundances
• Mass differences and neutron pairing in Ca, Sn and Pb isotopes
• Proton and Neutron Pairing Properties within a mixed volume-surface pairing force using SKI3-HFB Theory