Effective shell-model interaction for nuclei southeast of ${}^{100}$Sn

Abstract

We construct an effective shell-model interaction for the valence space spanned by single-particle neutron and single-hole proton states in ${}^{100}$Sn. Starting from chiral nucleon-nucleon and three-nucleon forces and single-reference coupled-cluster theory for ${}^{100}$Sn we apply a second similarity transformation that decouples the valence space. The particle-particle components of the resulting effective interaction can be used in shell model calculations for neutron deficient tin isotopes. The hole-hole interaction can be used to calculate the $N=50$ isotones south of ${}^{100}$Sn, and the full particle-hole interaction describes nuclei in the region southeast of ${}^{100}$Sn. We compute low-lying excited states in selected nuclei southeast of ${}^{100}$Sn, and find reasonable agreement with data. The presented techniques can also be applied to construct effective shell-model interactions for other regions of the nuclear chart.

arXiv comment9 pages, 8 figures, interaction files in supplemental material

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