Microscopic description of large-amplitude shape-mixing dynamics with local QRPA inertial functions

TL;DR

This paper presents a microscopic method to derive inertial functions for shape-mixing dynamics in nuclei, applied to neutron-rich Mg isotopes, enhancing understanding of shape coexistence around N=20.

Contribution

The paper introduces a novel microscopic approach using local QRPA to calculate inertial functions in the five-dimensional quadrupole Hamiltonian.

Findings

Successfully applied to Mg isotopes near N=20

Reveals detailed shape coexistence and mixing phenomena

Provides a new framework for nuclear collective motion analysis

Abstract

We introduce a microscopic approach to derive all the inertial functions in the five-dimensional quadrupole collective Hamiltonian. Local normal modes are evaluated on the constrained mean field in the quasiparticle random-phase approximation in order to derive the inertial functions. The collective Hamiltonians for neutron-rich Mg isotopes are determined with use of this approach, and the shape coexistence/mixing around the N = 20 region is analyzed.