Microscopic Theory of the OpticalModel Potential and the HoleParticle Model in Nuclear Spectroscopy
Abstract
Approximate expressions for the opticalmodel potential U_{opt} in terms of the nucleonnucleon interaction are discussed. The identity of all the A+1 nucleons of the scattering problem is approximately taken into account in our final formulas. The imaginary part of U_{opt} is calculated for the case of ^{12}C and the incidentnucleon energy of 20 MeV. The sphericalmodel randomphaseapproximation (RPA) eigenvalues and eigenvectors are assumed for the complete set of intermediate nuclear states involved. The results are rather insensitive to the exchangeforce mixture assumed for our zerorange nucleonnucleon potential. The antisymmetrization of our Vmatrix elements is extremely important as it reduces our ImU_{opt} by a factor of 23. For a reasonable set of our RPA intermediate eigenvalues and eigenvectors we obtain a semiquantitative agreement with the best phenomenological ImU_{opt} available for our case. The most important contribution to ImU_{opt} corresponds to the first excited T=0, 2^{+} state in ^{12}C.
 Publication:

Physical Review
 Pub Date:
 January 1966
 DOI:
 10.1103/PhysRev.141.913
 Bibcode:
 1966PhRv..141..913V