Coulombic effect and renormalization in nuclear pairing

Abstract

We investigate effects of the Coulomb force on the nuclear pairing properties by performing the Gogny Hartree-Fock-Bogolyubov calculations for the $N=20$, $28$, $50$, $82$ and $126$ nuclei. The Coulomb force reduces the proton pair energy and the even-odd mass difference by about 25%, except for nuclei at and around the proton shell or subshell closure. We then propose a renormalization scheme via a reduction factor ${\gamma }_p$ for the proton pairing channel. It is found that a single value of ${\gamma }_p(=0.90)$ well takes account of the Coulombic effect, for nuclei covering wide range of the mass number and the neutron excess including the nuclei around the shell or subshell closure.

5 pages, 2 figures; to appear in PRC (Rapid Communication)

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Cited by in corpus (15)

• Semi-realistic nucleon-nucleon interactions with improved neutron-matter properties
• Solution of Hartree-Fock-Bogoliubov equations and fitting procedure using N2LO Skyrme pseudo-potential in spherical symmetry
• On the superfluid properties of the inner crust of neutron stars
• Predicting magic numbers of nuclei with semi-realistic nucleon-nucleon interactions
• Collective inertia of Nambu-Goldstone mode from linear response theory
• Time-dependent approach to many-particle tunneling in one-dimension
• Comparative study on charge radii and their kinks at magic numbers
• Role of dynamic pairing correlations in fission dynamics
• Global investigation of odd-even mass differences and radii with isospin dependent pairing interactions
• Properties of exotic nuclei and their linkage to the nucleonic interaction
• Microscopic description of rotation: From ground states to the extremes of ultra-high spin
• Effect of proton-proton Coulomb repulsion on soft dipole excitations of light proton-rich nuclei
• Least action description of dynamic pairing correlations in the fission of Curium and Californium isotopes based on the Gogny energy density functional
• Pairing correlations in exotic nuclei
• Mirror-skin thickness: a possible observable sensitive to the charge symmetry breaking energy density functional