Microscopic Derivation of Collective Hamiltonian by Means of the Adiabatic Self-Consistent Collective Coordinate Method

TL;DR

This paper develops a microscopic approach to describe shape coexistence and mixing in nuclei using the adiabatic self-consistent collective coordinate method, successfully reproducing key properties and analyzing the effects of pairing interactions.

Contribution

It introduces a microscopic derivation of the collective Hamiltonian using the ASCC method with pairing-plus-quadrupole interactions, including the impact of time-odd pair fields.

Findings

Reproduces basic properties of shape coexistence/mixing in 68Se and 72Kr.

Shows oblate-prolate shape mixing decreases with increasing angular momentum.

Evaluates effects of time-odd pair field on collective mass and moments of inertia.

Abstract

Microscopic dynamics of the oblate-prolate shape coexistence/mixing phenomena in 68Se and 72Kr are studied by means of the adiabatic self-consistent collective coordinate (ASCC) method in conjunction with the pairing-plus-quadrupole (P+Q) Hamiltonian including the quadrupole pairing interaction. Quantum collective Hamiltonian is constructed, and excitation spectra, spectroscopic quadrupole moments and quadrupole transition properties are evaluated. The effect of the time-odd pair field on the collective mass (inertia function) of the large-amplitude vibration and the rotational moments of inertia about three principal axes is evaluated. Basic properties of the shape coexistence/mixing are well reproduced. The calculation indicates that the oblate-prolate shape mixing decreases as the angular momentum increases.