Fusion Probability in Dinuclear System

TL;DR

This paper models the fusion process in dinuclear systems by solving the Fokker-Planck equation, analyzing how mode coupling affects fusion probability and evaporation residue cross sections.

Contribution

It introduces a method to calculate fusion probability considering mode coupling effects using the Fokker-Planck and Kramers' models.

Findings

Coupling influences fusion probability significantly

Calculated quasifission and fusion rates match experimental trends

Provides insights into evaporation residue cross sections

Abstract

Fusion can be described by the time evolution of a dinuclear system with two degrees of freedom, the relative motion and transfer of nucleons. In the presence of the coupling between two collective modes, we solve the Fokker-Planck equation in a locally harmonic approximation. The potential of a dinuclear system has the quasifission barrier and the inner fusion barrier, and the escape rates can be calculated by the Kramers' model. To estimate the fusion probability, we calculate the quasifission rate and the fusion rate. We investigate the coupling effects on the fusion probability and the cross section of evaporation residue.