The Interrelated Roles of Correlations in the Nuclear Equation of State and in Response Functions: Application to a Chiral Confining Theory

TL;DR

This paper investigates how short-range and long-range correlations influence nuclear matter properties and response functions within a relativistic chiral framework, connecting theoretical models to QCD observables and phenomenology.

Contribution

It introduces an adapted Brueckner G-matrix approach with a natural cutoff, applied to a relativistic chiral theory including confinement and chiral symmetry breaking effects.

Findings

Correlation effects significantly modify the nuclear equation of state.

The approach provides a unified description linking QCD parameters to nuclear matter properties.

Results impact understanding of neutrino-nucleus scattering processes.

Abstract

We study the role of short-range correlations, as well as pion and rho loops governing long-range RPA correlations, in nuclear matter properties and response functions. We use an adapted formulation of the Brueckner G-matrix approach to generate a pair correlation function satisfying the Beg--Agassi--Gal theorem, providing a natural cutoff to the loop integrals. We present results for the case of a relativistic chiral theory, including the effects of quark confinement and of the chirally broken vacuum in a version where parameters are directly connected to QCD observables or constrained by well-established hadron phenomenology. This provides a unified and coherent view of the nuclear matter equation of state and the effect of correlations on neutrino--nucleus scattering.