Continuum and Symmetry-Conserving Effects in Drip-line Nuclei Using Finite-range Forces

TL;DR

This paper presents the first spherical Hartree-Fock-Bogoliubov calculations of drip-line nuclei using finite-range forces, incorporating continuum and particle number projection effects to improve accuracy.

Contribution

It introduces a novel approach combining continuum effects and particle number projection in finite-range force calculations for drip-line nuclei.

Findings

Position of the drip-lines determined

Neutron densities in neutron-rich nuclei analyzed

Sensitivity of observables to continuum and projection effects studied

Abstract

We report the first calculations of nuclear properties near the drip-lines using the spherical Hartree-Fock-Bogoliubov mean-field theory with a finite-range force supplemented by continuum and particle number projection effects. Calculations were carried out in a basis made of the eigenstates of a Woods-Saxon potential computed in a box, thereby garanteeing that continuum effects were properly taken into account. Projection of the self-consistent solutions on good particle number was carried out after variation, and an approximation of the variation after projection result was used. We give the position of the drip-lines and examine neutron densities in neutron-rich nuclei. We discuss the sensitivity of nuclear observables upon continuum and particle-number restoration effects.