Quantum preequilibrium multistep direct calculations for nucleon scattering on deformed nuclei: a microscopic approach

An introduction of the different quantum mechanics models is given for the calculation of pre‐equilibrium multistep direct process for nucleon induced reaction. A practical application is presented for $238U$ neutron induced reaction at medium energy (10–20 MeV). The double differential cross‐sections are calculated with no adjustable parameter and reproduced the data very well. The cross‐sections are expressed as a sum of DWBA transition amplitudes computed with a microscopic two‐body interaction. The exited states of the target are expressed as particle‐hole excitations built from single particle states obtained with the $HF+BCS$ calculation with a Skyrme force. We also perform a sensitivity study our calculations with respect to the ingredients of the model, namely the two‐body interaction which generates the transitions and the target states description.