Isomer shift and magnetic moment of the long-lived 1/2$^{+}$ isomer in $^{79}_{30}$Zn$_{49}$: signature of shape coexistence near $^{78}$Ni

TL;DR

This study uses collinear laser spectroscopy to investigate the nuclear structure of $^{79}$Zn, confirming a long-lived isomer and providing evidence of shape coexistence near $^{78}$Ni through measurements of nuclear spins, moments, and charge radii.

Contribution

It reports the first measurement of the isomer shift and magnetic moments of $^{79}$Zn's isomer and ground states, revealing shape coexistence near $^{78}$Ni.

Findings

Confirmed existence of a long-lived isomer in $^{79}$Zn.

Measured magnetic moments consistent with shell-model predictions.

Provided first evidence of shape coexistence through isomer shift data.

Abstract

Collinear laser spectroscopy has been performed on the $^{79}_{30}$Zn$_{49}$ isotope at ISOLDE-CERN. The existence of a long-lived isomer with a few hundred milliseconds half-life was confirmed, and the nuclear spins and moments of the ground and isomeric states in $^{79}$Zn as well as the isomer shift were measured. From the observed hyperfine structures, spins $I = 9/2$ and $I = 1/2$ are firmly assigned to the ground and isomeric states. The magnetic moment $\mu$ ($^{79}$Zn) = $-$1.1866(10) $\mu_{\rm{N}}$, confirms the spin-parity $9/2^{+}$ with a $\nu g_{9/2}^{-1}$ shell-model configuration, in excellent agreement with the prediction from large scale shell-model theories. The magnetic moment $\mu$ ($^{79m}$Zn) = $-$1.0180(12) $\mu_{\rm{N}}$ supports a positive parity for the isomer, with a wave function dominated by a 2h-1p neutron excitation across the $N = 50$ shell gap. The large isomer shift reveals an increase of the intruder isomer mean square charge radius with respect to that of the ground state: $\delta \langle r^{2}_{c}\rangle^{79,79m}$ = +0.204(6) fm$^{2}$, providing first evidence of shape coexistence.