High-spin structures of the near-spherical nuclei $^{91,92}$Zr

TL;DR

This study uses shell-model calculations to interpret high-spin states in near-spherical nuclei $^{91,92}$Zr, successfully matching experimental data and clarifying the structure of many high-spin states.

Contribution

The paper introduces a comprehensive shell-model approach with specific truncations to analyze high-spin states in $^{91,92}$Zr, providing new insights into their nuclear structure.

Findings

Good agreement with experimental data

Identification of the structure of high-spin states

Explanation of the $^{91}$Zr $21/2^+$ isomer

Abstract

In the present work, we have interpreted recently available experimental data for high-spin states of the near-spherical nuclei $^{91,92}$Zr, using the shell-model calculations within the full $f_{5/2}$, $p_{3/2}$, $p_{1/2}$, $g_{9/2}$ model space for protons and valence neutrons in $g_{9/2}$, $g_{7/2}$, $d_{5/2}$ orbits. We have employed a truncation for the neutrons due to huge matrix dimensions, by allowing one neutron excitation from $g_{9/2}$ orbital to $d_{5/2}$ and $g_{7/2}$ orbitals. Results are in good agreement with the available experimental data. Thus, theoretically, we have identified the structure of many high-spin states, which were tentatively assigned in the recent experimental work. The $^{91}$Zr $21/2^+$ isomer lies at low-energy region due to fully aligned spins of two $g_{9/2}$ protons and one $d_{5/2}$ neutron.