Mapping from quasi-elastic scattering to fusion reactions

Abstract

The fusion barrier distribution has provided a nice representation for the channel coupling effects on heavy-ion fusion reactions at energies around the Coulomb barrier. Here we discuss how one can extract the same representation using the so called sum-of-differences (SOD) method with quasi-elastic scattering cross sections. In contrast to the conventional quasi-elastic barrier distribution, the SOD barrier distribution has an advantage in that it can be applied both to non-symmetric and symmetric systems. It is also the case that the correspondence to the fusion barrier distribution is much better than the quasi-elastic barrier distribution. We demonstrate its usefulness by studying ${}^{16}$O+${}^{144}$Sm, ${}^{58}$Ni+${}^{58}$Ni, and ${}^{12}$C+${}^{12}$C systems.

Comments: 6 pages, 9 figures. A talk given at VI International Conference FUSION14, Feb. 24-28, 2014, New Delhi, India