Precision mass measurements of neutron-rich scandium isotopes refine the evolution of $N=32$ and $N=34$ shell closures

TL;DR

This study provides high-precision mass measurements of neutron-rich scandium isotopes, refining the understanding of shell closures at N=32 and N=34, and challenges some theoretical predictions about neutron shell gaps.

Contribution

It offers the first precise mass measurements for $^{50-55}$Sc isotopes, significantly reducing uncertainties and updating the nuclear shell model descriptions at N=32 and N=34.

Findings

Mass uncertainties reduced significantly.

Confirms peak of neutron shell gap at $^{52}$Ca.

Does not support N=34 shell closure in $^{55}$Sc.

Abstract

We report high-precision mass measurements of $^{50-55}$Sc isotopes performed at the LEBIT facility at NSCL and at the TITAN facility at TRIUMF. Our results provide a substantial reduction of their uncertainties and indicate significant deviations, up to 0.7 MeV, from the previously recommended mass values for $^{53-55}$Sc. The results of this work provide an important update to the description of emerging closed-shell phenomena at neutron numbers $N=32$ and $N=34$ above proton-magic $Z=20$. In particular, they finally enable a complete and precise characterization of the trends in ground state binding energies along the $N=32$ isotone, confirming that the empirical neutron shell gap energies peak at the doubly-magic $^{52}$Ca. Moreover, our data, combined with other recent measurements, does not support the existence of closed neutron shell in $^{55}$Sc at $N=34$. The results were compared to predictions from both \emph{ab initio} and phenomenological nuclear theories, which all had success describing $N=32$ neutron shell gap energies but were highly disparate in the description of the $N=34$ isotone.