Isovector proton-neutron pairing and Wigner energy in Hartree-Fock mean field calculations

Abstract

We propose a new approach for the treatment of isovector pairing in self-consistent mean field calculations which conserves exactly the isospin and the particle number in the pairing channel. The mean field is generated by a Skyrme-HF functional while the isovector pairing correlations are described in terms of quartets formed by two neutrons and two protons coupled to the total isospin T=0. In this framework we analyse the contribution of isovector pairing to the symmetry and Wigner energies. It is shown that the isovector pairing provides a good description of the Wigner energy, which is not the case for the mean field calculations in which the isovector pairing is treated by BCS-like models.

11 pages, 3 figures

References in corpus (3)

• Further explorations of Skyrme-Hartree-Fock-Bogoliubov mass formulas. XII: Stiffness and stability of neutron-star matter
• Isovector neutron-proton pairing with particle number projected BCS
• Pairing theory of the symmetry energy

Cited by in corpus (7)

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• Deformation effects on the coexistence between neutron-proton and particle like pairing in N=Z medium mass nuclei
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• Abnormal Bifurcation of the Double Binding Energy Differences and Proton-Neutron Pairing: Nuclei Close to $N=Z$ Line from Ni to Rb
• Analytical approach for the Quartet Condensation Model
• Unified description of pairing and quarteting correlations within the particle-hole-boson approach
• Integrable Model of Topological SO(5) Superfluidity