Role of deformation on giant resonances within the QRPA approach and the Gogny force

TL;DR

This paper investigates how nuclear deformation influences giant resonances using a fully consistent QRPA approach with the Gogny D1S force, analyzing multiple silicon and magnesium isotopes.

Contribution

It provides the first fully consistent QRPA calculations of giant resonances in deformed nuclei using the Gogny D1S force for both mean field and excitations.

Findings

Deformation significantly affects giant resonance properties.

Consistent use of Gogny D1S force improves theoretical accuracy.

Results include detailed responses for various multipole modes.

Abstract

Fully consistent axially-symmetric-deformed Quasi-particle Random Phase Approximation (QRPA) calculations have been performed, in which the same Gogny D1S effective force has been used for both the Hartree-Fock-Bogolyubov mean field and the QRPA approaches. Giant resonances calculated in deformed $^{26-28}$Si and $^{22-24}$Mg nuclei as well as in the spherical $^{30}$Si and $^{28}$Mg isotopes are presented. Theoretical results for isovector-dipole and isoscalar monopole, quadrupole, and octupole responses are presented and the impact of the intrinsic nuclear deformation is discussed.