Study of Local Inter-Nucleus Potential on the Basis of the Resonating Group Method. IV: Comparison of Various Approaches to CalculateInter-Nucleus Potential and Study of the Originsof Deep and Shallow Potentials

Abstract

Inter-relations are investigated between our theory of the local inter-nucleus potential based on the WKB prescription and other theories represented by the method of energy curve and by the method of moving wave packet. It is clarified that the latter two methods are approximations of the former in the sense that they are obtained by taking the spatial and energy averages of the former. The difference between the calculated local potentials by these different approaches are analysed in detail since the former gives the "deep potential" while the latter two methods give the entirely opposite potential, namely the "shallow potential" with the opposite sign of the energy-dependence. This drastic difference is explained as to be caused by the too wide widths of the spatial and energy averages adopted by the latter methods.