Testing of Proximity Potentials in Different Mass Regions

Abstract

This work deals with the proximity potential which is an important aspect for the study of nuclear interaction. Various types of proximity potential have been investigated over the years. In our present work, we choose five such potentials as they cover wide barrier characteristics. These potentials are studied in the different mass regions for the fusion cross section using Wong formula to check their effectiveness.Chapter-1 consist of introductory part of nuclear reaction, low energy heavy –ion reaction, nucleus-nucleus interaction potential and the proximity formalism. To study the effect of nuclear potential the mass regions are described. Beside this, the role of deformation and orientation has been discussed. Chapter-2 give the details of the methodology used. In this chapter, firstly various proximity potentials are explained. Further, Wong model is described which is used to calculate the fusion cross section. Chapter-3 presents the calculation and results. The interaction potential is calculated using five nuclear proximity potentials for spherical choice of nuclei and then effect of deformation and orientations is shown on these potentials. Afterwards, fusion excitation functions are calculated for two sets of reactions from four different mass regions of the periodic table, as defined in Chapter 1, with and without the effect of deformation and orientation in order to investigate that which nuclear potential works well in the considered mass regionsregions are described. Beside this, the role of deformation and orientation has been discussed. Chapter-2 give the details of the methodology used. In this chapter, firstly various proximity potentials are explained. Further, Wong model is described which is used to calculate the fusion cross section. Chapter-3 presents the calculation and results. The interaction potential is calculated using five nuclear proximity potentials for spherical choice of nuclei and then effect of deformation and orientations is shown on these potentials. Afterwards, fusion excitation functions are calculated for two sets of reactions from four different mass regions of the periodic table, as defined in Chapter 1, with and without the effect of deformation and orientation in order to investigate that which nuclear potential works well in the considered mass regions.