In-beam $\gamma$-ray spectroscopy of negative-parity states of $^{37}$K populated in dissipative reactions

TL;DR

This study uses in-beam gamma-ray spectroscopy with GRETINA to explore excited states of $^{37}$K, revealing new transitions and extending the level scheme, aiding understanding of isospin symmetry and mirror-energy differences.

Contribution

It presents new gamma-ray transitions and extends the level scheme of $^{37}$K, demonstrating the effectiveness of high-momentum loss reactions for studying mirror nuclei.

Findings

New gamma-ray transitions identified

Level scheme extended up to 13/2^- state

Shell-model calculations explain mirror-energy differences

Abstract

In-beam $\gamma$-ray spectroscopy was used to study excited states of the neutron-deficient nucleus $^{37}$K populated in fast-beam inelastic-scattering and proton-removal reactions at high-momentum loss. New $\gamma$-ray transitions and $\gamma\gamma$ coincidence relationships were established using the $\gamma$-ray tracking array GRETINA. The extension of the level scheme up to the first $(13/2^-)$ state highlights the potential of this recently demonstrated population pathway for studies of isospin symmetry involving mirror-energy differences. The nature of the newly identified states is discussed in comparison to shell-model calculations with the FSU cross-shell effective interaction. The calculated occupation numbers of individual orbitals are shown to offer a consistent explanation of the measured mirror-energy differences between $^{37}$K and $^{37}$Ar.