Interpretation of the Wigner Energy as due to RPA Correlations

Abstract

In a schematic model with equidistant fourfold degenerate single-nucleon levels, a conventional isovector pairing force and a symmetry force, the RPA correlation energy rises almost linearly with the isospin T, thus producing a Wigner term in accordance with the empirical proportionality of the symmetry energy to T(T+1).

6 pages incl. 1 figure, version to be published in Physics Letters B

References in corpus (1)

• Cranking in isospace - towards a consistent mean-field description of N=Z nuclei

Cited by in corpus (15)

• Local Density Approximation for proton-neutron pairing correlations. I. Formalism
• Overview of Neutron-Proton Pairing
• Description of rotating $N=Z$ nuclei in terms of isovector pairing
• Relation between Wigner energy and proton-neutron pairing
• Pairing theory of the symmetry energy
• Comments on the nuclear symmetry energy
• Nuclear masses near N = Z from Nilsson-Strutinsky calculations with pairing corrections beyond BCS from an isospin-conserving pairing force
• On the linear term in the nuclear symmetry energy
• Nuclear Symmetry Energy in Relativistic Mean Field Theory
• Systematic study of the symmetry energy coefficient in finite nuclei
• Open problems in nuclear structure near drip lines
• Pairing in Nuclei
• Isoscalar and isovector neutron-proton pairing
• Effect of Wigner energy on the symmetry energy coefficient in nuclei
• Closed expression for the pair vibrational correlation energy of a uniform distribution of single-nucleon levels