Cross section calculations of photoabsorption and Compton scattering contributions to He single and double ionization via recoil momentum observable

► We calculate photoionization cross sections with respect to recoil-ion momenta. ► Recoil ions from photoabsorption on He are mainly distributed on near cut. ► Dominant contribution of recoil ions from Compton scattering is close to zero (few a.u.) ► Calculation is in accordance with experiment. ► Dipole pattern of the recoil ions due to the polarization of incoming radiation is seen.