Studies in heavy ion scattering fusion and alpha decay of super heavy nuclei

Abstract

Non-relativistic quantum collision theory provides a sound basis for the theoretical study of a large variety of scattering and reactions in low energy nuclear physics. In particular, the study of heavy ion collision using the time independent Schr¨odinger equation, for the Coulomb nuclear systems and com- plex optical potential with a phenomenological construction or the one which is computed numerically, applying suitable microscopic theory of optical po- tentials, is of current interest. Theoretical formulation of such a study is done using partial wave analysis. Calculation of Coulomb nuclear partial wave S- Matrix elements is the main step in studying nucleus-nucleus or Heavy Ion Scattering(HIS) for a variety of projectile target systems. This thesis deals with the integrated study of scattering, resonances, fusion of heavy ion systems and alpha decay of super heavy nuclei. In Chapter 2, we give a brief review of nuclear scattering and resonance theories is elucidated. Chapter 3 summarizes the analysis on heavy ion scat- tering, resonances and heavy ion fusion. In Chapter 6, a brief review of the experimental and theoretical status of alpha decay of super heavy elements is given. We have carried out an optical model analysis of 16O+28Si system in the laboratory range 50.0 MeV - 142.5 MeV. The phenomenological optical poten- tial used in our analysis is modeled using LC potential with seven parameters including Coulomb radius parameter. The features studied include behavior of the real effective potential around grazing partial wave (lg), angular momentum (l), dependence of classical deflection function (and#920;), reflection function (|S l|) and the term (|1 and#8722; S l|2) governing the total partial wave elastic cross section. These details form the subject matter of Chapter 4. A unified approach for the description of scattering and fusion of the 19F+208Pb system in the energy range 70 - 100 MeV is taken up next..