Multipole Modes for Triaxially Deformed Superfluid Nuclei

TL;DR

This paper develops a Skyrme QRPA framework using the finite amplitude method to study shape fluctuations and collective modes in triaxially deformed superfluid nuclei, providing detailed strength functions and moments of inertia.

Contribution

It introduces a practical Skyrme QRPA approach for triaxial shapes with the finite amplitude method, enabling detailed analysis of nuclear collective excitations.

Findings

Quadrupole strength functions for $^{188}$Os calculated.

Thouless-Valatin rotational moment of inertia for $^{106}$Pd obtained.

Framework applicable to study shape fluctuations in transitional nuclei.

Abstract

To study shape fluctuations of nuclei in transitional regions, the collective Hamiltonian method has often been employed. We intend to construct the quadrupole collective Hamiltonian with the collective inertial functions given by the local quasiparticle random-phase approximation (QRPA) based on the Skyrme energy density functional. For this purpose, we first construct a practical framework of Skyrme QRPA for triaxial nuclear shapes with the finite amplitude method (FAM). We show quadrupole strength functions for a triaxial superfluid nucleus $^{188}$Os and the Thouless-Valatin rotational moment of inertia by the local FAM-QRPA for $^{106}$Pd.