Dynamic model for coherent production of particles in nuclei. Determination of the cross section for resonance-particle interaction

The Drell-Hiida-Deck model modified to include rescattering effects has been used to obtain a formula for the coherent production of particles in nuclei. In contrast to the well known Kolbig-Margolis formula, our formula takes into account the dynamics of the process. The coherent diffraction processes NA→(Nπ)A and πA→(3π)A are analyzed. From analysis of the reaction NA→(Nπ)A it follows that the cross section for interaction of the beam of (Nπ) with a nucleon has a ''normal'' value sigma/sup t//sub N/π,Napprox. =sigma/sup t//sub N/N+sigma/sup t//sub piN/. Analysis of the reaction πN→(3π)A shows that the cross sections for interaction of a rho meson with a nucleon and with a nucleus are anomalously small: sigma/sup t//sub rhoA/approx. =0.6sigma/sup t//sub piA/ and sigma/sup t//sub rhoN/approx. =10--15 mb. The observed smallness of the cross sections is due to the smallness of the effective Pomeron vertex function for the rho meson