A monopole-optimized effective interaction for tin isotopes

Abstract

We present a systematic configuration-interaction shell model calculation on the structure of light tin isotopes with a new global optimized effective interaction. The starting point of the calculation is the realistic CD-Bonn nucleon-nucleon potential. The unknown single-particle energies of the $1d_{3/2}$, $2s_{1/2}$ and $0h_{11/2}$ orbitals and the T=1 monopole interactions are determined by fitting to the binding energies of 157 low-lying yrast states in ${}^{102-132}$Sn. We apply the Hamiltonian to analyze the origin of the spin inversion between ${}^{101}$Sn and ${}^{103}$Sn that was observed recently and to explore the possible contribution from interaction terms beyond the normal pairing.

11 pages, 11 figures, 5 tables, version to appear in Phys. Rev. C

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• Neutrinoless double-$\beta$ decay of ${}^{124}$Sn, ${}^{130}$Te, and ${}^{136}$Xe in the Hamiltonian-based generator-coordinate method
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• From deformed Hartree-Fock to the nucleon-pair approximation
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• Recent progress in configuration-interaction shell model
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• Nucleon Electric Dipole Moments in Paramagnetic Molecules through Effective Field Theory
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