Distribution of Magnetic Dipole Strength -Binning

TL;DR

This paper extends the analysis of magnetic dipole transition strengths to larger nuclear spaces, revealing an exponential decay pattern of B(M1) strengths with increasing excitation energy in Ti and Cr isotopes.

Contribution

It introduces a binning method to clarify the exponential trend of B(M1) strengths in large space nuclear calculations, expanding previous single j shell studies.

Findings

B(M1) strength decreases exponentially with energy.

Binning reduces data clutter, clarifying trends.

Exponential decay pattern observed in isotopic data.

Abstract

In previous works we examined the systematics of magnetic dipole transitions in a single j shell. We here extend the study to large space calculations. We consider Ti and Cr isotopes.. In this work we focus on the B(M1) strength as a function of excitation of energy. The initial state is the lowest J= state. T=1 state in a specified nucleus. The final states are J=0 T=2 , all in one plot, and J=2 T=2 in another. The initial figures have points all over the map although there is a suggestion of an exponential trend. To reduce clutter we perform binning operations in which the summed strength in a given energy interval is represented by a single point. The new binning curves show more clearly the exponential fall of B(M1)'s with energy.