Cranked Skyrme-Hartree-Fock-Bogoliubov approach for a mean-field description of nuclear rotations near the drip line

TL;DR

This paper develops a three-dimensional coordinate-space cranked Skyrme-Hartree-Fock-Bogoliubov method to study nuclear rotations near the drip line, revealing unique structures in weakly bound nuclei.

Contribution

It introduces a novel numerical framework for systematically analyzing near-yrast states in drip-line nuclei using coordinate-space calculations.

Findings

Low 2+ state in 40Mg due to pairing suppression

High 2+ state in 42Mg similar to lighter Mg isotopes

Enhanced triaxial deformation in non-zero spin states

Abstract

To describe the yrast states in weakly bound nuclei, I directly solve the coordinate-space cranked Skyrme-Hartree-Fock-Bogoliubov equation on a three-dimensional lattice with the continuum states discretized in a box. After the numerical demonstration for the ground-state band in a medium-mass nucleus, I apply the newly-developed method to neutron-rich even-$N$ Mg isotopes. I find that the appearance of the significantly low $I^\pi=2^+$ state in $^{40}$Mg is mainly due to the suppression of pairing. The calculation predicts that the $2^+$ state in $^{42}$Mg appears as high in energy as in $^{34\text{-}38}$Mg whereas the triaxial deformation is enhanced in non-zero spin states. The present numerical framework offers a practical approach for investigating the near yrast states systematically and revealing structures unique in drip-line nuclei.