A Model for BCS-Type Correlations in Superscaling

TL;DR

This paper introduces a covariant BCS-inspired model for nuclear correlations that improves the description of superscaling functions in high-energy quasielastic electroweak processes, capturing experimental asymmetries.

Contribution

It develops a covariant extension of the relativistic Fermi gas model incorporating BCS correlations for better nuclear spectral functions.

Findings

The model reproduces the asymmetric tail in experimental scaling functions.

It provides a covariant framework for nuclear correlation effects.

The spectral function derived enhances understanding of quasielastic processes.

Abstract

Using ideas from BCS descriptions of systems of fermions, a covariant extension of the relativistic Fermi gas model is presented as a way to incorporate correlation effects in nuclei. The model is developed for the BCS nuclear ground state and for final states consisting of a single plane-wave nucleon plus a BCS recoiling daughter nucleus. The nuclear spectral function is obtained and from it the superscaling function for use in treating high-energy quasielastic electroweak processes. Interestingly, this model has the capability to yield the asymmetric tail seen in the experimental scaling function.