Journal
PHYSICAL REVIEW C
Volume 104, Issue 5, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevC.104.054306
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Funding
- European Unions Horizon 2020 research and innovation program under the Marie Skodowska Curie Grant [839847]
- Spanish MICINN [PGC2018-094583-B-I00]
- ExtreMe Matter Institute EMMI at the GSI-Darmstadt, Germany
- Marie Curie Actions (MSCA) [839847] Funding Source: Marie Curie Actions (MSCA)
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The study focuses on the ability of variational approaches to reproduce exact energies and electromagnetic properties of nuclei in the sd-shell valence space using the nontrivial USD Hamiltonian. Different methods are compared and the roles of proton-neutron mixing, quadrupole, and pairing degrees of freedom are analyzed in describing the spectra of nuclei in the sd shell.
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 sd-shell valence space using the nontrivial 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 (pn) 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 sd shell.
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