Optical Model Potential in the Lowest Order Brueckner Theory and Complex Effective N-N Interaction

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Abstract
The optical model potential for a nucleon propagating inside the infinite nuclear medium is calculated in the Brueckner-Hartree-Fock approximation. It is found that the resultant optical potential, especially its imaginary part, strongly depends on the strength of the tensor component and the short-range behavior of the used realistic nuclear force. Our results for the real part show a large anomaly just above the Fermi momentum especially in lower density. This anomaly mainly comes from the 3S1+3D1 state interaction. From the obtained transition matrix a complex effective N-N interaction with three-range-Gaussian form factor is constructed. This interaction reproduces the partial wave contributions to the optical potential in nuclear matter. By using the folding procedure, this effective interaction is applied to the p+40Ca elastic scattering. The observed differential cross section and polarization are very well reproduced over a wide range of energies with only a renormalization of the imaginary potential strength.