QCD susceptibilities and nuclear matter saturation in a chiral theory: inclusion of pion loops

Abstract

We derive the equation of state of symmetric nuclear matter in a relativistic theory with $\sigma$ and $\omega$ exchange. We take a chiral version of this model which insures all the chiral constraints. Going beyond the mean field approach we introduce the effects of the pion loops. For the parameters of the model, in order to fix those linked to pion exchange, we exploit the most recent information on the short-range part of the spin-isospin interaction. For those linked to the scalar meson exchange we make use of an analysis of lattice results on the nucleon mass evolution with the quark mass. With these inputs we are able reach a correct description of the saturation properties. From the equation of state of symmetric nuclear matter we alsoderive the density dependence of the quark condensate and of the QCD susceptibilities.

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Cited by in corpus (13)

• Cold uniform matter and neutron stars in the quark-mesons-coupling model
• J/Psi mass shift in nuclear matter
• Relativistic Chiral Hartree-Fock description of nuclear matter with constraints from nucleon structure and confinement
• Relativistic calculation of the pion loop correlation energy in nuclear matter in a theory including confinement
• Comparison of different relativistic models applied to dense nuclear matter
• Constraints on nuclear matter properties from QCD susceptibilities
• Nuclear matter in the chiral limit and the in-medium chiral condensate
• Scalar field in nuclear matter: the roles of spontaneous chiral symmetry breaking and nucleon structure
• Contribution of the rho meson and quark sub-structure to the nuclear spin-orbit potential
• Multinucleon excitations in neutrino-nucleus scattering: connecting different microscopic models for the correlations
• Relativistic Hartree-Fock Chiral Lagrangians with confinement, nucleon finite size and short-range effects
• Chiral symmetry, Confinement and Nuclear Matter properties
• From QCD phenomenology to nuclear physics phenomenology: the chiral confining model