Photoproduction of the $\pi N$ pair on nuclei and isobar configurations

Abstract

A model of $\pi N$ pair photoproduction on nuclei at high momentum transfer is presented. The $A(\gamma,\pi N)B$ reaction amplitude is obtained by means of an extended impulse approximation, according to which the nuclear wavefunction includes delta-isobar components in addition to nucleon components. A one-particle transition operator is defined in terms of the two-body $\gamma N\to\pi N$ and $\gamma \Delta\to\pi N$ photoproduction amplitudes. Direct and exchange mechanisms of the nuclear photoproduction reaction are studied, and numerical estimates are made and presented of $^{12}{\rm C}(\gamma,\pi^- p){^{11}{\rm C}}$ and $^{12}{\rm C}(\gamma,\pi^+ p){^{11}{\rm Be}}$ differential cross sections at photon incident energies in the $\Delta(1232)$ resonance region.