Microscopic approach to large-amplitude deformation dynamics with local QRPA inertial masses

TL;DR

This paper introduces a new microscopic method to accurately determine the five-dimensional quadrupole collective Hamiltonian, incorporating time-odd mean field effects, and demonstrates its application to shape coexistence and phase transition phenomena.

Contribution

The paper presents a novel approach combining constrained HFB and local QRPA equations to compute inertial functions, including time-odd contributions, for large-amplitude nuclear deformation dynamics.

Findings

Successfully applied to shape coexistence in 72Kr

Analyzed shape phase transition in neutron-rich Cr isotopes

Inertial functions include time-odd mean field effects

Abstract

We have developed a new method for determining microscopically the fivedimensional quadrupole collective Hamiltonian, on the basis of the adiabatic self-consistent collective coordinate method. This method consists of the constrained Hartree-Fock-Bogoliubov (HFB) equation and the local QRPA (LQRPA) equations, which are an extension of the usual QRPA (quasiparticle random phase approximation) to non-HFB-equilibrium points, on top of the CHFB states. One of the advantages of our method is that the inertial functions calculated with this method contain the contributions of the time-odd components of the mean field, which are ignored in the widely-used cranking formula. We illustrate usefulness of our method by applying to oblate-prolate shape coexistence in 72Kr and shape phase transition in neutron-rich Cr isotopes around N=40.