$\alpha$-cluster states in $^{46,54}$Cr from double-folding potentials

TL;DR

This paper investigates alpha-cluster states in chromium isotopes using a double-folding model, calculating various nuclear properties and comparing them to experimental data, while also exploring implications for neutron density distributions.

Contribution

It introduces a double-folding potential approach to study alpha-cluster states in $^{46}$Cr and $^{54}$Cr, complementing previous models with a focus on detailed nuclear properties.

Findings

Calculated excitation energies and transition strengths match experimental data.

Identified larger radial extent of neutron density in $^{50}$Ti.

Validated the double-folding model for alpha-cluster state analysis.

Abstract

$\alpha$--cluster states in $^{46}$Cr and $^{54}$Cr are investigated in the double-folding model. This study complements a recent similar work of Souza and Miyake \cite{Sou17} which was based on a specially shaped potential. Excitation energies, reduced widths, intercluster separations, and intra-band transition strengths are calculated and compared to experimental values for the ground state bands in $^{46}$Cr and $^{54}$Cr. The $\alpha$-cluster potential is also applied to elastic scattering at low and intermediate energies. Here, as a byproduct, a larger radial extent of the neutron density in $^{50}$Ti is found.