Isovector proton-neutron pairing and Wigner energy in Hartree-Fock mean field calculations
arXiv:1404.5226 · doi:10.1103/PhysRevC.90.024322
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.
arXiv comment11 pages, 3 figures
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- Isoscalar-isovector proton-neutron pairing and quartet condensation in N=Z nuclei
- Quartet correlations in N=Z nuclei induced by realistic two-body interactions
- Isovector and isoscalar proton-neutron pairing in nuclei
- Isospin effects in N~Z nuclei in extended Density Functional Theory
- Quartetting in odd-odd self-conjugate nuclei
- Abnormal Bifurcation of the Double Binding Energy Differences and Proton-Neutron Pairing: Nuclei Close to Line from Ni to Rb
- Analytical approach for the Quartet Condensation Model
- Disentangling the pair and quartet condensates
- Integrable Model of Topological SO(5) Superfluidity
- Unified description of pairing and quarteting correlations within the particle-hole-boson approach
- Collective treatment of the isovector pair correlations. Boson representation