Continuum Coupling and Pair Correlation in Weakly Bound Deformed Nuclei

TL;DR

This paper introduces a novel Hartree-Fock-Bogoliubov method for weakly bound deformed nuclei that accurately handles continuum quasiparticle states using coordinate-space Green's functions.

Contribution

It develops a new computational approach for weakly bound deformed nuclei, emphasizing proper treatment of continuum quasiparticle states with correct boundary conditions.

Findings

Successful formulation of the method with numerical examples

Accurate treatment of continuum quasiparticle states

Enhanced understanding of weakly bound nuclear systems

Abstract

We formulate a new Hartree-Fock-Bogoliubov method applicable to weakly bound deformed nuclei using the coordinate-space Green's function technique. An emphasis is put on treatment of quasiparticle states in the continuum, on which we impose the correct boundary condition of the asymptotic out-going wave. We illustrate this method with numerical examples.