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 24Mg.
Highlights
The nuclear Equation of State (EoS) plays a fundamental role in the description and understanding of several properties of atomic nuclei and astrophysical compact objects [1]
The Isoscalar Giant Monopole Resonance (ISGMR), known as the breathing mode, is a typical example of collective excitation whose centroid energy is related to the nuclear incompressibility
In the case of the ISGMR, deformation produces a coupling of the K = 0 component of the Isoscalar Giant Quadrupole Resonance (ISGQR) with the ISGMR itself, K being the projection of the total angular momentum on the symmetry axis [6]
Summary
The nuclear Equation of State (EoS) plays a fundamental role in the description and understanding of several properties of atomic nuclei and astrophysical compact objects [1]. The Isoscalar Giant Monopole Resonance (ISGMR), known as the breathing mode, is a typical example of collective excitation whose centroid energy is related to the nuclear incompressibility. Deformation affects the ISGMR and we aim at dicussing such effects in view of existing and future experimental results on deformed nuclei.
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