Manifestations of Isospin in Nearest Neighbor Spacing Distributions for the f-p Model Space

TL;DR

This paper investigates how isospin symmetry and Coulomb interactions influence the distribution of energy level spacings in nuclear models, revealing manifestations of isospin in spectral statistics for $^{44}$Ti.

Contribution

It analyzes the impact of isospin and Coulomb effects on nearest neighbor spacing distributions in the f-p model space, highlighting their role in nuclear spectral statistics.

Findings

Isospin affects level repulsion in NNS histograms.

Coulomb interaction modifies the level spacing distribution.

Distinct signatures of isospin are observed in spectral data.

Abstract

The strong interactions are charge independent. If we limit ourselves to the strong interactions, we have the isospin $T$ as a good quantum number. Here we consider the lack of level repulsion of states of different isospin and how this effect manifests in nearest neighbor spacing (NNS) histograms, which provide a visual and statistical context in which to study distributions of energy level spacings. In particular, we study nucleons in the f-p model space for the nucleus $^{44}$Ti. We also study the effect of the Coulomb interaction on the level spacing distribution.