  Developing a predictive capability for inelastic scattering will find
applications in multiple areas. Experimental data for neutron-nucleus inelastic
scattering is limited and thus one needs a robust theoretical framework to
complement it. Charged-particle inelastic scattering can be used as a surrogate
for $(n, \gamma)$ reactions to predict capture cross sections for unstable
nuclei. Our work uses microscopic nuclear structure calculations for spherical
nuclei to obtain nucleon-nucleus scattering potentials and calculate cross
sections for these processes. We implement the Jeukenne, Lejeune, Mahaux (JLM)
semi-microscopic folding approach, where the medium effects on nuclear
interaction are parameterized in nuclear matter to obtain the nucleon-nucleon
$(NN)$ interaction in a medium at positive energies. We solve for the nuclear
ground state using the Hartree-Fock-Bogliubov (HFB) many-body method, assuming
the nucleons within the nucleus interact via the Gogny-D1M potential. The
vibrational excited states of the target nucleus are calculated using the
quasi-particle random phase approximation (QRPA). We demonstrate our approach
for spherical nuclei in the medium-mass region, showing scattering results for
the $^{90}$Zr nucleus.
