A COMPARATIVE STUDY OF THE 12C+24Mg SYSTEM WITH DEEP AND SHALLOW POTENTIALS

Abstract

Studying nuclear reactions near the Coulomb barrier shows a number of problems which have remained unsolved for a long time: The out-of-phase problem between theoretical predictions and experimental data; the reproductions of the oscillatory structure near the Coulomb barrier; the consistent description of angular distributions together with the excitation functions data are just some of these problems. In order to address and overcome these problems, by considering a comparative study of the shallow and deep optical potentials, the elastic scattering angular distributions and excitation functions data of the 12 C +24 Mg reaction have been analyzed within the framework of the optical model over a wide energy range. The potential depths near the Coulomb barrier according to the increasing energy and threshold anomaly are discussed in terms of the shallow and deep potentials. Excellent agreement between theoretical results and measured data is obtained by using the optical model.