From meson- and photon-nucleon scattering to vector mesons in nuclear matter

Abstract

We present a relativistic and unitary approach to pion- and photon-nucleon scattering taking into account the $\pi N$, $\rho N$, $\omega N$, $\eta N$, $\pi \Delta$, $K\Lambda$ and $K\Sigma$ channels. Our scheme dynamically generates the s- and d-wave nucleon resonances N(1535), N(1650), N(1520) and N(1700) and isobar resonances $\Delta (1620)$ and $\Delta (1700)$ in terms of quasi-local two-body interaction terms. We obtain a fair description of the experimental data relevant for slow vector-meson propagation in nuclear matter. The s-wave $\rho$- and $\omega$-meson nucleon scattering amplitudes, which define the leading density modification of the $\rho$- and $\omega$-meson spectral functions in nuclear matter, are predicted.

Comments: 6 pages, 1 figure; contribution to the Int. Workshop XXX on Gross Properties of Nuclei and Nuclear Excitations: Ultrarelativistic Heavy Ion Collisions, Hirschegg, Jan. 13-19, 2002