Closed expression for the pair vibrational correlation energy of a uniform distribution of single-nucleon levels

TL;DR

This paper derives a closed-form expression for the pair vibrational correlation energy in a uniform single-nucleon level distribution, aiding analysis of nuclear symmetry energy and model renormalization.

Contribution

It provides a novel closed expression for pair vibrational correlation energy in a uniform single-nucleon level distribution, enhancing nuclear structure modeling.

Findings

Derived a closed expression for correlation energy

Analyzed spectral density of vibrational frequencies

Discussed applications to symmetry energy and model renormalization

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.