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.

9 pages, 8 figures, interaction files in supplemental material

References in corpus (17)

• Improved nuclear matter calculations from chiral low-momentum interactions
• Accurate nuclear radii and binding energies from a chiral interaction
• Similarity Renormalization Group for Nucleon-Nucleon Interactions
• A nucleus-dependent valence-space approach to nuclear structure
• In-Medium Similarity Renormalization Group for Nuclei
• Shell-model calculations and realistic effective interactions
• Coupled-cluster theory for three-body Hamiltonians
• In-Medium Similarity Renormalization Group for Open-Shell Nuclei
• Orbital dependent nucleonic pairing in the lightest known isotopes of tin
• Efficient calculation of chiral three-nucleon forces up to N3LO for ab initio studies
• In-Medium Similarity Renormalization Group for Closed and Open-Shell Nuclei
• Ab-initio shell model with a core
• In-medium similarity renormalization group with three-body operators
• Ab initio coupled-cluster theory for open-shell nuclei
• Mass measurements of 99-101In challenge ab initio nuclear theory of the nuclide 100Sn
• Ab initio effective interactions for sd-shell valence nucleons
• Realistic shell-model calculations for neutron-rich calcium isotopes

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