Systematic study of proton-neutron pairing correlations in the nuclear shell model

Abstract

A shell-model study of proton-neutron pairing in $2p1f$ shell nuclei using a parametrized hamiltonian that includes deformation and spin-orbit effects as well as isoscalar and isovector pairing is reported. By working in a shell-model framework we are able to assess the role of the various modes of proton-neutron pairing in the presence of nuclear deformation without violating symmetries. Results are presented for ${}^{44}$Ti, ${}^{45}$Ti, ${}^{46}$Ti, ${}^{46}$V and ${}^{48}$Cr to assess how proton-neutron pair correlations emerge under different scenarios. We also study how the presence of a one-body spin-obit interaction affects the contribution of the various pairing modes.

12 pages, 16 figures

References in corpus (1)

• Isovector neutron-proton pairing with particle number projected BCS

Cited by in corpus (8)

• Alpha-like quartet condensation and isovector pairing correlations in N=Z nuclei
• Shape coexistence in even-even nuclei: A theoretical overview
• Isoscalar and isovector pairing in a formalism of quartets
• Quantum entanglement patterns in the structure of atomic nuclei within the nuclear shell model
• Symmetry restoration in the mean-field description of proton-neutron pairing
• Deformation effects on the coexistence between neutron-proton and particle like pairing in N=Z medium mass nuclei
• Isoscalar-isovector proton-neutron pairing and quartet condensation in N=Z nuclei
• The $\beta$-decay properties of $N=Z$ nuclei: Role of neutron-proton pairing and the shell model interpretation