Closed expression for the pair vibrational correlation energy of a uniform distribution of single-nucleon levels
arXiv:1604.00334 · doi:10.1103/PhysRevC.94.054328
Abstract
A closed expression is derived for the pair vibrational correlation energy generated in the random phase approximation by the isovector pairing force in the case when Kramers and charge degenerate single-nucleon levels are uniformly distributed in an interval. The expression is used to analyze the spectral density of pair vibrational frequencies relative to that of two-quasinucleon energies. Applications to the analysis of the symmetry energy of the isovector pairing model and to a Strutinskij renormalization of this model are discussed.