The Effect of the Proton and Neutron as Probe for the Nuclear Fusion Reactions at Near-Barrier Energies

Abstract

In this study, quantum mechanical calculations and a semi-classical approach were used to determine fusion the probability (Pfus), fusion barrier distribution (Dfus), and fusion cross section (σfus) for the systems 28Si + 90Zr, 28Si + 92Zr, 28Si + 94Zr, 41K + 28Si, and 45K + 28Si. The semiclassical approach involved the use of the WKB approximation to describe the relative motion between the projectile and target nuclei, and the Continuum Discretized Coupled Channel (CDCC) method of Alder-Winther (AW) to describe the intrinsic motion of the nuclei. The importance of the neutron and the proton transfer and exchange on the calculations of Pfus, Dfus, and σfus for the studied systems. The results showed that the consideration of the coupling-channel calculations for quantum mechanics and a semi-classical approach, are very important to be considered specifically around and below the Coulomb barrier. The results were compared with the measured data and found in reasonable agreement.