Pair correlation of giant halo nuclei in continuum Skyrme-Hartree-Fock-Bogoliubov theory

TL;DR

This paper investigates the neutron pair correlations in giant halo nuclei of neutron-rich Zr isotopes using a continuum Skyrme Hartree-Fock-Bogoliubov approach, revealing the dominant role of non-resonant continuum states in the pair condensate tail.

Contribution

It provides a detailed analysis of the asymptotic behavior of neutron pair density in giant halo nuclei, highlighting the significance of non-resonant continuum quasiparticle states.

Findings

Neutron pair condensate tail is dominated by non-resonant continuum states.

Resonant states mainly influence the neutron density tail.

The approach properly treats continuum quasiparticle states using Green's function.

Abstract

The giant halos predicted in neutron-rich Zr isotopes with $A=124-138$ are investigated by using the self-consistent continuum Skyrme Hartree-Fock-Bogoliubov approach, in which the asymptotic behavior of continuum quasiparticle states is properly treated by the Green's function method. We study in detail the neutron pair correlation involved in the giant halo by analyzing the asymptotic exponential tail of the neutron pair condensate (pair density) in addition to that of the neutron particle density. The neutron quasiparticle spectra associated with these giant halo nuclei are examined. It is found that the asymptotic exponential tail of the neutron pair condensate is dominated by non-resonant continuum quasiparticle states corresponding to the scattering states with low asymptotic kinetic energy. This is in contrast to the asymptotic tail of the neutron density, whose main contributions arise from the resonant quasiparticle states corresponding to the weakly-bound single-particle orbits and resonance orbits in the Hartree-Fock potential.