Nuclear charge radii and electric monopole transitions in the interacting boson model

TL;DR

This paper applies the interacting boson model to calculate nuclear charge radii and electric monopole transitions in rare-earth nuclei, revealing a relation between M1 strength and E0 transition strengths.

Contribution

It introduces a consistent operator approach within IBM for both observables and highlights a new relation between M1 strength and E0 transition values.

Findings

Calculated charge radii and E0 transition strengths agree with experimental data.

Identified a relation linking M1 strength to E0 transition values.

Demonstrated the effectiveness of IBM in describing nuclear properties in the rare-earth region.

Abstract

The interacting boson model (IBM) of Arima and Iachello is applied to calculate nuclear charge radii and electric monopole transitions of even-even nuclei in the rare-earth region. Consistent operators are used for the two observables. A relation between summed M1 strength and $\rho({\rm E0})$ values is pointed out.