English

Variational approximations to exact solutions in shell-model valence spaces: systematic calculations in the $sd$-shell

Nuclear Theory 2021-11-15 v1

Abstract

We study the ability of variational approaches based on self-consistent mean-field and beyond-mean-field methods to reproduce exact energies and electromagnetic properties of the nuclei defined within the sdsd-shell valence space using the non-trivial USD Hamiltonian. In particular, Hartree-Fock-Bogoliubov (HFB), variation after particle-number projection (VAPNP) and projected generator coordinate methods (PGCM) are compared to exact solutions {obtained by} the full diagonalization of the Hamiltonian. We analyze the role played by the proton-neutron (pnpn) mixing as well as the quadrupole and pairing degrees of freedom (including both isoscalar and isovector channels) in the description of the spectra of even-even, even-odd and odd-odd nuclei in the whole sdsd-shell.

Keywords

Cite

@article{arxiv.2106.08841,
  title  = {Variational approximations to exact solutions in shell-model valence spaces: systematic calculations in the $sd$-shell},
  author = {Adrián Sánchez-Fernández and Benjamin Bally and Tomás R. Rodríguez},
  journal= {arXiv preprint arXiv:2106.08841},
  year   = {2021}
}

Comments

16 pages; 16 figures

R2 v1 2026-06-24T03:16:17.873Z