Chiral Mean Field equation of state with meson interactions

We incorporate meson interactions within a chirally invariant model to describe hadronic matter at large densities and finite temperature. The Chiral Mean Field (CMF) model, a nonlinear realization of the SU(3) sigma model, includes the general principles of chiral symmetry and broken scale invariance from QCD, and describes hadron interactions through meson exchange. This relativistic approach has demonstrated excellent agreement with experimental nuclear data and astrophysical observations, yielding reliable equations of state (EoS) and particle compositions for potential use in heavy ion collision and astrophysical simulations. Notably, previous implementations of the CMF model have only included scalar and vector mesons. In this work, we extend the CMF model to include interacting pseudoscalar and vector mesons at finite density and temperature, examining their influence on the baryon in-medium mass, and the resulting EoS in comparison with first principle lattice QCD results.