Isoscaling behavior in the Fission Dynamics

Abstract

The fission processes of $^{112}$Sn + $^{112}$Sn and $^{116}$Sn + $^{116}$Sn are simulated with the combination of the Langevin equation and the statistical decay model. The masses of two fission fragments are given by assuming the process of symmetric fission or asymmetric fission by the Monte Carlo sampling with the Gaussian probability distribution. From the analysis to the isotopic/isotonic ratios of the fission fragments from both reactions, the isoscaling behavior has been observed and investigated in details. Isoscaling parameters $\alpha$ and $\beta$ are extracted as a function of the charge number and neutron number, respectively, in different width of the sampling Gaussian probability distribution. It seems that $\alpha$ is sensitive to the width of fission probability distribution of the mass asymmetrical parameter but $\beta$ is not. Both $\alpha$ and $\beta$ drop with the increasing of beam energy and the reduced friction parameter.