Deformation around neutron-rich Cr isotopes in axially symmetric Skyrme-Hatree-Fock-Bogoliubov method

TL;DR

This paper investigates the deformation mechanisms in neutron-rich Cr, Fe, and Ti isotopes using a Skyrme-Hartree-Fock-Bogoliubov model, revealing shape transitions and the influence of specific nuclear orbitals.

Contribution

It provides a systematic analysis of nuclear deformation in neutron-rich isotopes using a two-dimensional mesh Skyrme-HFB approach, highlighting the role of the N=38 gap and neutron g9/2 orbit.

Findings

Quadrupole instability around N~38-42 in Cr isotopes.

Shallow deformation energy minima indicating transitional behavior.

Influence of the N=38 gap and neutron g9/2 orbit on deformation.

Abstract

We analyse deformation mechanism in neutron-rich Cr, Fe and Ti isotopes with N=32-44 by means of a Skyrme-Hartree-Fock-Bogoliubov mean-field code employing a two-dimensional mesh representation in the cylindrical coordinate system. Evaluating systematically the quadrupole deformation energy, we show that the Skyrme parameter set SkM* gives a quadrupole instability around the neutron number N$\sim$38-42 in Cr isotopes, where the deformation energy curve suggests a transitional behavior with a shallow minimum extending to a large prolate deformation. Roles of a deformed N=38 gap and the position of the neutron g9/2 orbit are analysed in detail.