Remarks on monopole charge properties within the Generalized Coherent State Model

TL;DR

This paper uses the Generalized Coherent State Model to analyze nuclear charge densities and E0 transitions, examining effects of deformation and angular momentum, with results aligning well with experimental data.

Contribution

It provides new calculations of E0 transition amplitudes for multiple nuclei within the GCSM, exploring shape effects and comparing with previous models.

Findings

Angular momentum projection aligns with microscopic calculations.

E0 transition results agree with experimental data.

Shape transitions influence E0 transition behavior.

Abstract

The Generalized Coherent State Model, proposed previously for a unified description of magnetic and electric collective properties of nuclear systems, is used to study the ground state band charge density as well as the E0 transitions from $0^+_{\beta}$ to $0^+_g$. The influence of the nuclear deformation and of angular momentum projection on the charge density is investigated. The monopole transition amplitude has been calculated for ten nuclei. The results are compared with some previous theoretical studies and with the available experimental data. Our results concerning angular momentum projection are consistent with those of previous microscopic calculations for the ground state density. The calculations for the E0 transitions agree quite well with the experimental data. Issues like how the shape transitions or shape coexistence are reflected in the $\rho(E0)$ behavior are also addressed.