Momentum Dependence of the Ion-Ion Potential in a Microscopic Theory

A momentum-dependent real potential for ion-ion scattering is calculated, from Reid's soft-core potential, with Brueckner's theory. The densities of the two nuclei are kept fixed and the Pauli principle is obeyed by rearrangement in momentum space. The calculated potential is increasingly attractive up to 2 ${\mathrm{fm}}^{-1\mathrm{}}$ relative momentum per particle. At this relative momentum, the attraction does not decrease at small distances; for larger momenta, the potential finally becomes repulsive.