Modification of the $ω$-Meson Lifetime in Nuclear Matter
The photo production of $ω$ mesons on the nuclei C, Ca, Nb and Pb has been measured using the Crystal Barrel/TAPS detector at the ELSA tagged photon facility in Bonn. The dependence of the $ω$ meson cross section on the nuclear mass number has been compared with three different types of models, a Glauber analysis, a BUU analysis of the Giessen theory group and a calculation by the Valencia theory group. In all three cases, the inelastic $ω$ width is found to be $130-150 \rm{MeV/c^2}$ at normal nuclear matter density for an average 3-momentum of 1.1 GeV/c. In the restframe of the $ω$ meson, this inelastic $ω$ width corresponds to a reduction of the $ω$ lifetime by a factor $\approx 30$. For the first time, the momentum dependent $ω$N cross section has been extracted from the experiment and is in the range of 70 mb.