New dissipative non-Markovian model treatment of capture: the need for precise above-barrier cross sections

Physics and Chemistry Department, Omsk State Transport University, 644046 Omsk, Russia

^a e-mail: maria.chushnyakova@gmail.com

Published online: 19 December 2013

Abstract

We performed quantitative theoretical analysis of the high precision data on the fusion excitation function in the reaction ¹⁶O + ¹⁴⁴Sm involving spherical nuclei. For this purpose the model is developed in which the collision process is described by the stochastic dynamical equations with the retarding friction and colored noise. The friction force is supposed to be proportional to the squared derivative of nucleus-nucleus interaction potential. The latter is calculated within the framework of the double folding approach with the density-dependent M3Y NN-forces. Varying the radial dissipation strength K_R and the matter diffuseness of ¹⁴⁴Sm we reach χ² per point equal to 5.4. However the values of KR and the friction retardation time τ_C appear to be strongly correlated. More high precision data are needed to make more definite conclusions about the values of K_R and τ_C.