Model ingredients and peak mass production in heavy-ion collisions

Abstract

We simulate the central reactions of $^{20}$Ne+$^{20}$Ne, $^{40}$Ar+$^{45}$Sc, $^{58}$Ni+$^{58}$Ni, $^{86}$Kr+$^{93}$Nb, $^{129}$Xe+$^{118}$Sn, $^{86}$Kr+$^{197}$Au, and $^{197}$Au+$^{197}$Au at different incident energies for different equations of state, different binary cross sections and different widths of Gaussians. A rise-and-fall behavior of the multiplicity of intermediate mass fragments (IMFs) is observed. The system size dependence of peak center-of-mass energy E$_{c.m.} ^{max}$ and peak IMF multiplicity $<$N$_{IMF}>^{max}$ is also studied, where it is observed that E$_{c.m.}^{max}$ follows a linear behavior and $<$N$_{IMF}>^{max}$ shows a power-law dependence. A comparison between two clusterization methods, the minimum spanning tree and the minimum spanning tree method with binding energy check (MSTB), is also made. We find that the MSTB method reduces the $<$N$_{IMF}>^{max}$, especially in heavy systems. The power-law dependence is also observed for fragments of different sizes at E$_{c.m.} ^{max}$ and the power-law parameter $\tau$ is found to be close to unity in all cases except A$^{max}$.