We present analytic angular differential cross section model for laser assisted proton nucleon scattering on a Woods-Saxon optical potential where the nth-order photon absorption is taken into account simultaneously. As a physical example we calculate cross sections for proton - $^{ 12}$C collision at 49 MeV in the laboratory frame where the laser intensity is in the range of $ 10^{ 7} - 10^{ 21}$ W/cm$^2$ at optical frequencies. The upper intensity limit is slightly below the relativistic regime.
Categories: nucl-th