The M3Y Double Folding Dissipative Model in Agreement with Precise Fusion Cross Sections

Abstract

Large numbers of precision fusion excitation functions were fitted in the literature using the nucleus-nucleus interaction potential having the Woods-Saxon shape. The diffuseness of this potential fusion ranges from 0.75 to 1.5 fm. This is much larger than the value of 0.65 fm required by the elastic scattering data. Trying to resolve this contradiction we develop the dissipative trajectory model based on the density-dependent M3Y NN-forces folded with the nuclear matter distribution. Resulting potential possesses the normal diffuseness about 0.65 fm. Pb reactions within 5%.

Effects of the deformation orders β6 & β8 on the fusion parameters for spherical-deformed interacting pair

“…where We will then go on to present the nuclear potential in DFM, which is given by [4,5,11,14,15,17,19,21,29]; (15) where ρ1(⟶r1) & ρ2(⟶r2) are the density functions of the projectile and the target nuclei respectively, VNN(S) is the NN interaction potential, and ⟶R is the relative position vector of the centers of mass of the interacting pair of nuclei. To simplify calculation of the six dimensional integral (eq.…”