Nuclear incompressibility from spherical and deformed nuclei

TL;DR

This paper investigates how nuclear shape deformation influences the extraction of nuclear incompressibility by analyzing monopole and quadrupole responses using a sophisticated theoretical framework based on the deformed Quasi Particle Random Phase Approximation.

Contribution

It introduces a detailed theoretical approach combining deformed Hartree-Fock-Bogoliubov and Quasi Particle Random Phase Approximation to study mode coupling in deformed nuclei.

Findings

Coupling between monopole and quadrupole modes affects incompressibility extraction.

Results for ${}^{24}$Mg show interaction-dependent response characteristics.

Framework can be applied to other deformed nuclei for similar analyses.

Abstract

We present an analysis based on the deformed Quasi Particle Random Phase Approximation, on top of a deformed Hartree-Fock-Bogoliubov description of the ground state, aimed at studying the isoscalar monopole and quadrupole response in a deformed nucleus. This analysis is motivated by the need of understanding the coupling between the two modes and how it might affect the extraction of the nuclear incompressibility from the monopole distribution. After discussing this motivation, we present the main ingredients of our theoretical framework, and we show some results obtained with the SLy4 and SkM$^{*}$ interactions for the nucleus ${}^{24}$Mg.