Nuclear structure studies of $^{24}$F

TL;DR

This study investigates the nuclear structure of $^{24}$F using experimental techniques and compares the results with shell-model and ab-initio calculations, achieving good agreement and enabling spin-parity assignments.

Contribution

It provides the first detailed level scheme of $^{24}$F up to 3.6 MeV and validates theoretical models against experimental data.

Findings

Experimental level scheme up to 3.6 MeV constructed.

Shell-model and ab-initio calculations agree with measured level spacings.

Unambiguous spin and parity assignments enabled.

Abstract

The structure of the $^{24}$F nucleus has been studied at GANIL using the $\beta$ decay of $^{24}$O and the in-beam $\gamma$-ray spectroscopy from the fragmentation of projectile nuclei. Combining these complementary experimental techniques, the level scheme of $^{24}$F has been constructed up to 3.6 Mev by means of particle-$\gamma$ and particle-$\gamma\gamma$ coincidence relations. Experimental results are compared to shell-model calculations using the standard USDA and USDB interactions as well as ab-initio valence-space Hamiltonians calculated from the in-medium similarity renormalization group based on chiral two- and three-nucleon forces. Both methods reproduce the measured level spacings well, and this close agreement allows unidentified spins and parities to be consistently assigned.