Correlating radii and electric monopole transitions of atomic nuclei

TL;DR

This paper investigates the relationship between nuclear radii and electric monopole transitions in rare-earth nuclei, using the interacting boson model to analyze shape phase transitions and the impact of hexadecapole degrees of freedom.

Contribution

It introduces a systematic analysis linking shape phase transitions to E0 transitions and nuclear radii, incorporating the effects of the $g$ boson within the interacting boson model.

Findings

Established a correlation between radii and E0 transitions.

Demonstrated the influence of hexadecapole ($g$ boson) on this correlation.

Provided theoretical calculations consistent with experimental data.

Abstract

A systematic analysis of the spherical-to-deformed shape phase transition in even-even rare-earth nuclei from $_{58}$Ce to $_{74}$W is carried out in the framework of the interacting boson model. These results are then used to calculate nuclear radii and electric monopole (E0) transitions with the same effective operator. The influence of the hexadecapole degree of freedom ($g$ boson) on the correlation between radii and E0 transitions thus established, is discussed.