Pion Electromagnetic Form Factor and ??-meson Mass Shift at Finite Density

Abstract

We investigate the pion electromagnetic charge radii and mass dropping of the ρ meson at finite density. We first calculate the pion charge radii within the framework of the nonlocal chiral quark model from the instanton vacuum both at zero and finite densities. In order to relate the change of the pion charge radius to that of the ρ-meson mass at finite density, we employ the vector-meson dominance for the pion electromagnetic form factor. It turns out that the pion charge radius is getting larger as the quark chemical potential increases. As a result, the ρ-meson mass falls off as the quark chemical potential grows and is found to be dropped by about 10% at normal nuclear matter density: m * ρ /m ρ ≈ 1 − 0.12 µ B /µ 0 , which is compatible to the results of the measurement at the KEK recently.