Mirror Energy Differences and nuclear structure in 1$f_{7/2}$ nuclei

TL;DR

This paper compares experimental mirror energy differences in 1f7/2 nuclei with shell model and CSM calculations, confirming band crossing phenomena and excluding rotational alignment effects, while addressing inconsistencies in existing literature.

Contribution

It provides a comprehensive comparison of MED data with theoretical models, clarifies the interpretation of nuclear structure phenomena, and critiques recent proposals and literature inconsistencies.

Findings

MED plots align with shell model interpretations

Band crossing and quasi band-termination are confirmed

Rotational alignment effects are excluded

Abstract

Experimental mirror energy differences (MED) for nuclei lying in the middle and the second part of $1f_{7/2}$ shell are compared with shell model calculations in the $1f_{7/2}$ and in the full $pf$ configuration spaces, as well as with CSM calculations. MED plots are fully consistent with the description which emerges from the interpretation of SM calculations: i.e. the band crossing of the gs band with high-$K$ bands in $A$=51 and 50 mirror pairs, as well as the seniority-3 quasi band-termination at $I^\pi$=19/2$^-$ in $A$=49. Rotational alignment effects are excluded, contrarily to what even recently proposed. Some inconsistencies, as well as definition improprieties, are pointed out in the topical literature.