Consistent analysis of fusion data without adjustable parameters for a wide variety of heavy-ion systems

Abstract

We have calculated fusion cross sections for 64 heavy-ion systems based on a method that takes into account the couplings to a complete set of states for surface vibrations of the nuclear densities. For the nuclear interaction we have assumed the parameter-free São Paulo potential. The predictions have been obtained without using any adjustable parameter, and are in good agreement with the experimental results for most of the systems, even at sub-barrier energies.

α+αscattering reexamined in the context of the São Paulo potential

“…[9,10]), weakly bound, and exotic (e.g., [11,12]) nuclei; and inelastic scattering and transfer processes (e.g., [13,14]). Furthermore, because the model is based on a folding procedure, the SPP includes a systematics of nuclear densities and, therefore, possesses no adjustable parameters in the real part of the interaction.…”

Investigation of Coulomb dipole polarization effects on reactions involving exotic nuclei

“…[22] and successfully applied to the elastic scattering of stable nuclei. At energies around the Coulomb barrier, the SPP has also been valuable when explicitly coupled to reaction channels [23,24], besides being successful to systematic descriptions of fusion reaction data [25,26]. Thus, the São Paulo potential became a powerful tool to study exotic nuclei reactions [6,7,27].…”

Comparison between the zero point motion and generalized frozen approximation models in accounting for heavy-ion fusion data

“…In Refs. [5,6], within a model that is coined zero point motion (ZPM), we have generalized this expression to the case of four harmonic degrees of freedom in the context of heavy-ion collisions with the São Paulo (SP) potential [7][8][9] as the bare interaction. The SP potential has been successful in describing the elastic scattering and peripheral reaction channels for several systems in a wide energy region, from sub-barrier to intermediate energies [8,[10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27].…”

“…Therefore, the bare interaction assumed to analyze the fusion data is also appropriate to describe the elastic scattering process. The ZPM model has been successful in accounting for fusion data for more than one hundred different heavy-ion systems without using any adjustable parameter [5,6]. In a similar context but within a different approach, in [28] we have developed another model, that we call here the generalized frozen approximation (GFA), to consider the contribution to the fusion process of couplings related to harmonic vibrations of the surfaces of the nuclear densities.…”

“…In Ref. [28], the GFA was applied only to three systems. Here, we extend the GFA calculations to about 60 different systems and compare the corresponding results to those of the ZPM model.…”