Deformed quasiparticle-random-phase approximation for neutron-rich nuclei using the Skyrme energy density functional

TL;DR

This paper introduces a new deformed QRPA framework using Skyrme functionals, enabling accurate analysis of vibrational and rotational modes in neutron-rich nuclei, with applications to various isotopes.

Contribution

The paper presents a novel self-consistent deformed QRPA method incorporating Skyrme functionals, applicable to vibrational and rotational modes in neutron-rich nuclei.

Findings

Accurate calculation of isovector dipole and isoscalar quadrupole modes in $^{20}$O and $^{26}$Ne.

First-time computation of moments of inertia for $^{34}$Mg and $^{36}$Mg using the Thouless-Valatin method.

Discussion of momentum-dependent terms' effects on energy-weighted sum rules.

Abstract

We develop a new framework of the deformed quasiparticle-random-phase approximation (QRPA) where the Skyrme density functional and the density-dependent pairing functional are consistently treated. Numerical applications are carried out for the isovector dipole and the isoscalar quadrupole modes in the spherical $^{20}$O and in the deformed $^{26}$Ne nuclei, and the effect of the momentum dependent terms of the Skyrme effective interaction for the energy-weighted sum rule is discussed. As a further application, we present for the first time the moments of inertia of $^{34}$Mg and $^{36}$Mg using the Thouless-Valatin procedure based on the self-consistent deformed QRPA, and show the applicability of our new calculation scheme not only for the vibrational modes but also for the rotational modes in neutron-rich nuclei.