A semiclassical distorted wave model Is presented for one-step nucleon Inelastic scattering process to the continuous states of the residual nuclei. In the model, we use distorted waves for describing the motion of the incident and the exit nucleons, and the Thomas-Fermi model for the initial and the final states of the target nucleus. The squared moduli of the matrix elements of the nucleon-nucleon (N-N) interaction is substituted by corresponding N-N scattering cross section in free space. The model gives a closed form expression for the double differential cross section, and no free parameter is included. We apply the model to the proton inelastic scattering from ^<120>Sn, ^<197>Au and ^<209>Bi at 62 MeV, and ^<58>Ni at 100 and 164 MeV. Experimental data are reproduced very well at high emission energies except for small and large angle regions. For the neutron inelastic scattering from ^<90>Zr, ^<120>Sn and ^<208>Pb at 60 and 160 MeV for which experimental data are not available at the present time, we give predictions on the angular distribution and the energy spectra, and compare them with the corresponding proton results. Similar results are obtained for proton and neutron. We also compare our calculations with the exciton model and the Multi-Step Direct Reaction theory.
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