  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.
