Light projectile elastic scattering by nuclei described by the Gogny interaction

Abstract

In this work, we study the elastic scattering of some light particles, such as $^2$H, $^3$H, $^3$He, and $^4$He, by heavy target nuclei with an extended Watanabe model, which uses as input the neutron-nucleus and proton-nucleus optical potentials and the ground-state wave functions of the projectile. The nucleon-nucleus optical potential used in this work was obtained within a semi-microscopic nuclear matter approach, whose real and imaginary parts are provided by the first and second-order terms, respectively, of the Taylor expansion of the Brueckner-Hartree-Fock mass operator obtained with the reaction G-matrix built up with the Gogny force \cite{lopez21}. The angular distributions of the scattering of $^2$H, $^3$H, $^3$He, and $^4$He from different target nuclei and at a different incident energy of the projectile computed with this model are analyzed. The reaction cross-sections corresponding to some of these scattering processes are also calculated. Our results are compared with the experimental values as well as with another Watanabe calculation where the nucleon-nucleus the optical potential is provided by the phenomenological K\"oning-Delaroche model. The limitations of the extended Watanabe model used in this work are also discussed.