$π^0$ and $η$ meson exchange interactions in the coherent $η$ meson production in the nucleus

Abstract

The energy transfer spectra have been calculated for the coherent η meson production in the proton nucleus reaction. The elementary reaction occurring in the nucleus is considered as pN → pN * (1535); N * (1535) → N η. The N * (1535) excitation for the forward going proton and η meson is occurred due to the π 0 and η meson exchange interactions, other mesons do not contribute in this process. The cross sections are calculated for the π 0 and η meson exchange interactions, and the effect of their interference on the cross section is also studied. The initial and final state interactions as well as the N * (1535) nucleus interaction are addressed by the optical potentials. The distorted wave functions for proton and η meson are described by the eikonal form. The sensitivity of the cross section to the hadron nucleus potential is presented.