English

Shell-model calculation with density-dependent interaction for $pf$-shell nuclei

Nuclear Theory 2026-01-26 v3

Abstract

Shell-model calculations with density-dependent interactions are performed to investigate pfpf-shell nuclei, examining the ground-state energies, low-lying spectra, and E2E2 transition probabilities. The density-dependent terms in the interaction are self-consistently determined using the shell-model wave function for the ground state. We test three density-dependent interactions adapted from density functionals of Gogny-D1S, Gogny-GT2, and M3Y-P6. The shell-model results satisfactorily agree with the experimental data. However, the Gogny-D1S and Gogny-GT2 fail to reproduce the magicity of N=28N=28, while it is properly described by the M3Y-P6 functional.

Keywords

Cite

@article{arxiv.2512.07376,
  title  = {Shell-model calculation with density-dependent interaction for $pf$-shell nuclei},
  author = {K. Yoshinaga and N. Shimizu and T. Nakatsukasa},
  journal= {arXiv preprint arXiv:2512.07376},
  year   = {2026}
}
R2 v1 2026-07-01T08:14:34.355Z