Matrix Models of Strength Distributions

TL;DR

This paper employs matrix models to analyze strength distributions, particularly magnetic dipole excitations, highlighting how matrix parameters influence exponential fall-offs and identifying a matrix with zero transitions.

Contribution

Introduces a matrix modeling approach to study strength distributions and explores how matrix parameters affect excitation behaviors and transition probabilities.

Findings

Exponential fall-offs depend on matrix parameters.

Certain matrix configurations lead to vanishing transitions.

Matrix models can replicate observed strength distribution features.

Abstract

In this work we use matrix models to study the problem of strength distributions. This is motivated by noticing near exponential fall offs of strengths in calculated magnetic dipole excitations. We emphasize that the quality of the exponential fall offs depend on the parameters in our matrices, especially the relative size of the couplings to the unperturbed level separations. We also find a matrix for which all transitions vanish.