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

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.

Automated summary

We examine the influences of short-range correlations and pion and rho loops on nuclear matter properties and response functions. Our approach, which utilizes an adapted formulation of the Brueckner G-matrix method, generates a pair correlation function satisfying the Beg-Agassi-Gal theorem and naturally cuts off the loop integrals. We present results from a relativistic chiral theory that incorporates effects of quark confinement and the chirally broken vacuum, with parameters directly linked to QCD observables or constrained by established hadron phenomenology, offering a comprehensive understanding of the nuclear matter equation of state and the impact of correlations on neutrino-nucleus scattering.