Comprehensive study of mass modifications of light mesons in nuclear matter in the three-flavor extended Linear Sigma Model

Abstract: We present a comprehensive study of mass modifications of scalar, pseudo-scalar, vector, and axial-vector mesons in nuclear matter using the three-flavor extended Linear Sigma Model (eLSM) and the two-flavor Parity Doublet Model (PDM). The meson masses in nuclear matter are determined by calculating the one-loop nucleon corrections to the meson mean fields. As a result, we find all spin-$0$ meson masses except those of the pion, kaon, and the lightest scalar-isoscalar mesons decrease at finite baryon density. For spin-$1$ mesons, masses of all axial-vector mesons decrease in medium, and the density dependences of the $\rho$ and $\omega$ meson masses strongly depend on the value of chiral invariant mass ($M_0$). Also, our results suggest $M_0\approx0.8\, {\rm GeV}$ is preferable.