Chiral Mean Field equation of state with pseudoscalar meson interactions.*

We incorporate pseudoscalar meson interactions within a chirally invariant model to describe hadronic matter at large densities. The Chiral Mean Field (CMF) model, a nonlinear realization of the SU(3) linear sigma model, includes the general principles of chiral symmetry and broken scale invariance in QCD, and describes hadrons 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 pseudoscalar mesons, examining their influence on the baryon in-medium mass and the nuclear EoS.