Nonlocal optical potential in the inelastic deuteron scattering off $^{24}$Mg

Nonlocal nucleon-nucleus optical potential with rotational quadrupole deformation enabling the excitation of the ${}^{24}\mathrm{Mg}(2^+)$ state is developed; it fits well the proton-${}^{24}\mathrm{Mg}$ elastic and inelastic differential cross section in the beam energy range from 30 to 45 MeV per nucleon. The inelastic deuteron-${}^{24}\mathrm{Mg}$ scattering leading to the excited ${}^{24}\mathrm{Mg}(2^+)$ state is studied in the same energy regime by solving the three-body Faddeev-type equations for transition operators. Effects of the optical potential nonlocality are evaluated by comparison with local models. Significant effects on the inelastic differential cross section are found at forward angles up to the first peak and at larger angles beyond the second peak. Nonlocal optical potential provides a simultaneous reasonable reproduction of the experimental data for the elastic and inelastic proton-${}^{24}\mathrm{Mg}$ and deuteron-${}^{24}\mathrm{Mg}$ scattering, not achieved using local potentials.