Examining the $N$ = 28 shell closure through high-precision mass measurements of ${}^{46-48}$Ar

Abstract

The strength of the $N$ = 28 magic number in neutron-rich argon isotopes is examined through high-precision mass measurements of ${}^{46-48}$Ar, performed with the ISOLTRAP mass spectrometer at ISOLDE/CERN. The new mass values are up to 90 times more precise than previous measurements. While they suggest the persistence of the $N$ = 28 shell closure for argon, we show that this conclusion has to be nuanced in light of the wealth of spectroscopic data and theoretical investigations performed with the \emph{SDPF-U} phenomenological shell model interaction. Our results are also compared with \emph{ab initio} calculations using the Valence Space In-Medium Similarity Renormalization Group and the Self-Consistent Green's Function approaches. Both calculations provide a very good account of mass systematics at and around $Z$ = 18 and, generally, a consistent description of the physics in this region. This combined analysis indicates that ${}^{46}$Ar is the transition between the closed-shell ${}^{48}$Ca and collective ${}^{44}$S.

Comments: 17 pages, 14 figures