Shell model description of zirconium isotopes

Abstract

We calculate the low-lying spectra and several high-spin states of zirconium isotopes ($Z=40$) with neutron numbers from $N=50$ to $N=58$ using a large valence space with the $^{78}\mathrm{Ni}$ inert core, which a priori allows one to study the interplay between spherical and deformed configurations, necessary for the description of nuclides in this part of the nuclear chart. The effective interaction is derived by monopole corrections of the realistic $G$ matrix. We reproduce essential nuclear properties, such as subshell closures in $^{96}\mathrm{Zr}$ and $^{98}\mathrm{Zr}$. The spherical-to-deformed shape transition in $^{100}\mathrm{Zr}$ is addressed as well.