Continuum Hartree-Fock-Bogoliubov theory for weakly bound deformed nuclei using coordinate-space Green's function method

TL;DR

This paper introduces a novel coordinate-space Green's function approach to Hartree-Fock-Bogoliubov theory, enabling accurate modeling of weakly bound, deformed nuclei with continuum states.

Contribution

It develops a new method for treating continuum quasiparticle states in deformed nuclei within the Hartree-Fock-Bogoliubov framework, applicable to weakly bound systems.

Findings

Analyzed continuum quasiparticle states in $^{38}$Mg.

Illustrated pair correlations near the neutron drip-line.

Validated the method's effectiveness for deformed weakly bound nuclei.

Abstract

We formulate a new scheme of the Hartree-Fock-Bogoliubov mean-field theory applicable to weakly bound and pair correlated deformed nuclei using the coordinate-space Green's function technique. On the basis of a coupled-channel representation of the quasiparticle wave function expanded in terms of the partial waves, we impose the correct boundary condition of the asymptotically out-going waves on the continuum quasiparticle states. We perform numerical analysis for $^{38}$Mg to illustrate properties of the continuum quasiparticle states and the pair correlation in deformed nuclei near the neutron drip-line.