Distribution of magnetic dipole strength — binning

Abstract

In previous papers, we examined the systematics of magnetic dipole transitions in a single [Formula: see text] shell. We here extend the study to large space calculations. We consider the nuclei [Formula: see text]Ti, [Formula: see text]Ti and [Formula: see text]Cr. In this paper, we focus on the [Formula: see text] strength as a function of excitation of energy. The initial state is the lowest [Formula: see text] state in a specified nucleus. The final states are [Formula: see text] [Formula: see text], all in one plot, and [Formula: see text] [Formula: see text] 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 [Formula: see text]’s with energy.