The unabridged momentum-space optical potential for nucleon-nucleus scattering with non-local density dependent effective interactions

The evaluation of microscopic optical model potentials, based on density-dependent effective interactions, involve multi-dimensional integrals to account for the full Fermi motion of the bound nucleons throughout the nucleus. In momentum space, if a spherical matter distribution is assumed, then each matrix element of the optical potential involves the evaluation of sevendimensional integrals. In this work we report results when a full account of these integrals is in place, retaining the genuine off-shell structure of the nucleon-nucleon effective interaction given by solutions for the g matrix in the Brueckner-Bethe-Goldstone framework. The calculated potentials, based on the Paris nucleon-nucleon potential, are applied to proton elastic scattering from 16O and 90Zr at beam energies between 30 and 65 MeV. Comparisons made with alternative approximations to the unabridged expression exhibit moderate differences among their corresponding scattering observables.

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