Correlations between charge radii, E0 transitions, and M1 strength

TL;DR

This paper derives and tests correlations between nuclear charge radii, E0 transition rates, and M1 strength within the interacting boson model, providing insights into nuclear structure in the rare-earth region.

Contribution

It introduces new theoretical relations linking charge radii, E0, and M1 transitions and validates them with experimental data.

Findings

Strong correlations found between charge radii and E0 transitions.

Magnetic dipole strength shows predictable patterns with charge radii.

The relations hold well in the rare-earth nuclei studied.

Abstract

In the framework of the interacting boson model, relations are derived between nuclear charge radii, electric monopole transition rates, and summed magnetic dipole transition in even-even nuclei. The proposed correlations are tested in the rare-earth region.