Investigation of the Coupling Potential by means of S-matrix Inversion

Abstract

We investigate the inelastic coupling interaction by studying its effect on the elastic scattering potential as determined by inverting the elastic scattering $S$-matrix. We first address the effect upon the real and imaginary elastic potentials of including excited states of the target nucleus. We then investigate the effect of a recently introduced novel coupling potential which has been remarkably successful in reproducing the experimental data for the ${}^{12}$C+${}^{12}$C, ${}^{12}$C+${}^{24}$Mg and ${}^{16}$O+${}^{28}$Si reactions over a wide range of energies. This coupling potential has the effect of deepening the real elastic potential in the surface region, thereby explaining a common feature of many phenomenological potentials. It is suggested that one can relate this deepening to the super-deformed state of the compound nucleus, ${}^{24}$Mg.

12 pages with 3 figures