Role of Surface Energy Coefficients and Temperature in the Fusion Reactions Induced by Weakly Bound Projectiles

Abstract

A systematic study is provided to analyze the behaviors of the interaction potential and complete fusion cross section which are influenced by the effects of the surface energy coefficients γ and temperature T. Our framework is restricted to the proximity formalism for fusion reactions induced by weakly bound projectiles 6Li, 7Li and 9Be. The different surface energy coefficients (γ-MN76, γ-MN95, γ-MS00 and γ-PD03) are used to study the role of the parameter γ in the proximity potentials AW 95 and BW 91. Comparison of the theoretical and the experimental values of the barrier characteristics (barrier heights and its positions) indicates that the modified versions AW 95 (γ-MS00) and BW 91 (γ-MS00) give the least deviations for fusion barrier heights. Moreover, it is shown that the temperature-dependence improves the calculated barrier heights based on the potentials AW 95 and BW 91. In the present study, the analysis of the mentioned effects on the complete fusion cross sections has been also discussed for the systems of interest. The obtained results reveal that the above-modified versions provide a more accurate description for behavior of the complete fusion cross sections than the original potentials at above-barrier energies. It is demonstrated that the increase of the temperature T enhances the complete fusion suppression at this energy range.

A comprehensive analysis of 26Mg(3H,2H)27Mg reaction at 36 MeV

“…It includes a geometric factor and a universal function. Various proximity potentials which can change with the parameters such as the radius parameter, surface energy coefficient and universal function can be obtained from the literature [32][33][34][35][36]. As a result of these, we are looking for alternative nuclear potential(s) for the analysis of the 26 Mg( 3 H, 2 H) 27 Mg transfer reaction.…”

Surface energy coefficient of a N2LO Skyrme energy functional : a semiclassical Extended Thomas-Fermi approach

“…From a fundamental point of view, since this last property is controlled by the compressibility for small density oscillations, both quantities are related [3,4]. From a practical point of view, the surface energy naturally contributes to the deformation properties of nuclei [5,6] and thus in fusion reactions [7][8][9][10][11], to the determination of fission barriers [12,13] or in cluster decay [14] and neutron-star matter [15]. It is therefore of the utmost importance to determine precisely the surface energy and each of the aforementionned constraints could be used to fine tune the parameters of an effective interaction [5,16,17].…”

A comprehensive analysis of 9Li + 70Zn fusion cross section by using proximity potentials, temperature dependent density distributions and nuclear potentials

“…In the context of proximity model, the potential is defined together with a geometric factor and a universal function. Various versions of the proximity model by changing the parameters, such as the radius parameter, surface energy coefficient and universal function can be found in the literature [5][6][7][8][9]. At the same time, temperature-related proximity potentials have been proposed by including the temperature depending on the interaction situation.…”