Variation of Single-Particle Energies: Scaling Behavior for the Spectrum of $^{48}$Cr

TL;DR

This study investigates how varying single-particle energies in shell model calculations affects the spectrum of $^{48}$Cr, revealing a scaling behavior that allows different interactions to produce similar results.

Contribution

It demonstrates a scaling behavior in shell model calculations, showing that diverse single-particle energy sets can yield nearly identical spectra for $^{48}$Cr.

Findings

Multiple interaction sets produce similar yrast spectra

Scaling behavior links different single-particle energies to consistent results

Varying energies does not significantly alter the spectrum

Abstract

We perform shell model calculations for $^{48}$Cr using GXPF1A and FPD6 interactions by varying single particle energies. We find a scaling behavior which leads to the finding that many different sets of interactions with vastly different single particle energies can give almost identical results for the yrast spectrum of $^{48}$Cr