Linear response of light deformed nuclei investigated by self-consistent quasiparticle random-phase-approximation

TL;DR

This paper develops a fully self-consistent QRPA method to study vibrational states in deformed nuclei, comparing results with experimental data and analyzing the effects of residual interactions.

Contribution

It introduces a self-consistent QRPA framework for deformed nuclei using Skyrme functionals, including analysis of residual interactions and spurious mode removal.

Findings

Excellent agreement with spherical nuclei benchmarks

Neglecting spin-orbit and Coulomb residuals affects results

Improved QRPA results after removing spurious modes

Abstract

We present a calculation of the properties of vibrational states in deformed, axially--symmetric even--even nuclei, within the framework of a fully self--consistent Quasparticle Random Phase Approximation (QRPA). The same Skyrme energy density and density-dependent pairing functionals are used to calculate the mean field and the residual interaction in the particle-hole and particle-particle channels. We have tested our software in the case of spherical nuclei against fully self consistent calculations published in the literature, finding excellent agreement. We investigate the consequences of neglecting the spin-orbit and Coulomb residual interactions in QRPA. Furthermore we discuss the improvement obtained in the QRPA result associated with the removal of spurious modes. Isoscalar and isovector responses in the deformed ${}^{24-26}$Mg, $^{34}$Mg isotopes are presented and compared to experimental findings.