Folding-type coupling potentials in the context of the generalized rotation–vibration model

Abstract

The generalized rotation-vibration model was proposed in previous works to describe the structure of heavy nuclei. The model was successfully tested in the description of experimental results related to the electron-nucleus elastic and inelastic scattering. In the present work, we consider heavy-ion collisions and assume this model to calculate folding-type coupling potentials for inelastic states, through the corresponding transition densities. As an example, the method is applied to coupled-channel data analyses for the α+ 70,72,74,76 Ge systems.

Role of inelastic couplings in 4He + 208Pb elastic scattering in a wide energy range

“…However, from the theoretical point of view, the use of second-order form factors coupling the elastic channel to a particular state should be complemented with couplings in two steps involving two inelastic states besides the fundamental one. For instance, within the vibrational model, the 0 + 2 state of the triplet is coupled to the 0 + 1 fundamental state in one step with a second-order term in deformation, while these same states are coupled in two steps, each one with a first-order term in deformation, through the 0 [12]. Two first-order steps are equivalent to one second-order step, and therefore both couplings are equally important to connect the 0 + 1 and 0 + 2 states.…”

“…The aim of the present work is to study the effect of a large number of inelastic couplings on the elastic scattering. Thus, we use the fairly simple scheme presented here to treat the couplings, since a more fundamental approach, such as using transition densities to calculate coupling potentials [12], is impractical when considering many states, including several states with very high excitation energies. On the other hand, the deformation parameter values assumed here were obtained from inelastic scattering data fits and, in this sense, the respective couplings can be considered quite realistic.…”