Nucleonnucleus optical model potential (1). Nuclear matter approach
Abstract
We present a new method for the approximate solution of the BetheGoldstone equation when it has a singular kernel. The method reduces the integral equation to a set of coupled differential equations which are easily solved. In the special case of binding energy calculations, nonsingular kernel, our method is equivalent to the reference spectrum method. A particular advantage is that there is no ambiguity in the treatment of hardcore NN interactions. We perform calculations both for the HamadaJohnston and Reid hardcore internucleon potentials and in intermediate states always use selfconsistent singleparticle energies. We apply the method to calculate in nuclear matter the binding energy/nucleon and the nucleon optical potential. Our results for the binding energy differ by about 2 MeV from those published for similar calculations. The difference is a consequence of our use of selfconsistent energies and a greater number of partial waves, L ≦ 4. For the optical potential we obtain a logarithmic variation with incident energy E for E > 100 MeV, in agreement with experimental data. We also obtain better agreement with experiment than other authors for the energy variation in the the range 40 MeV < E < 100 MeV. This improvement is a consequence of our use of a higher number of partial waves.
 Publication:

Nuclear Physics A
 Pub Date:
 November 1977
 DOI:
 10.1016/03759474(77)903220
 Bibcode:
 1977NuPhA.291..299B