Study of Fusion Reactions of some Light projectiles on Medium Targets

Abstract

Background and objectives : The investigation of heavy-ion (HI) induced fusion processes in order to comprehend the many mechanisms involved in these reactions has long been a focus of nuclear physics. The complicated structure and behavior of projectile and target nuclei with various projectile energy allows us to de fi ne the reaction process and may aid in the investigation of the potential of creating superheavy elements (SHE) in the laboratory. Methods : The semiclassical and full quantum mechanical complete fusion cross section calculations s fus and the distribution of the fusion barrier D fus for the systems 12 C þ 50 Ti, 15 N þ 56 Fe, 16 O þ 63 Cu and 40 Ar þ 27 Al. The calculations have been carried out by using SCF code for semiclassical and CC code for quantum mechanical calculations. To account for the target and projectile relative motion, we modi fi ed these codes. The fusion barrier distribution to be calculated directly from this code by subroutines written in Fortran language and added to the main code. The coupled-channel is considered by taking two channels only due to the dif fi culty of solving coupled differential equations. Results : The obtained results for s fus and the D fus for the studied systems were compared to the related measured data and discussed. Conclusion : The semiclassical method used to describe the fusion reaction agrees very well with the quantum method and with the measured data and we can conclude that this semiclassical method can be used as alternative to quantum method to study the fusion reaction.