From pion nucleon scattering to vector mesons in nuclear matter Original Research Article

We construct a relativistic and unitary approach to ‘high’ energy pion nucleon scattering taking into account the inelastic πΔ, ρN, ωN, KΣ, KΛ and ηN channels [1]. Our scheme dynamically generates the s- and d-wave nucleon and isobar resonances N*(1535), N*(1650), N*(1520), N*(1700), Δ*(1620) and Δ*(1700). We also describe the ρ- and ω-nucleon scattering amplitudes which in turn provide the leading density modification of the ρ and ω mass distribution in nuclear matter. We find repulsive mass shifts for both vector mesons at small nuclear density but predict considerable strength in low energy resonance-hole like vector meson modes.