Role of colliding geometry on the balance energy of mass-asymmetric systems

Abstract

We study the role of colliding geometry on the balance energy (${E}_{\text{bal}}$) of mass-asymmetric systems by varying the mass asymmetry ($\ensuremath{\eta}$ $=$${A}_{T}\ensuremath{-}{A}_{p}$/${A}_{T}+{A}_{P}$, where ${A}_{T}$ and ${A}_{P}$ are the masses of the target and projectile, respectively) from 0.1 to 0.7, over the mass range 40--240 and on the mass dependence of the balance energy. Our findings reveal that colliding geometry has a significant effect on the ${E}_{\text{bal}}$ of asymmetric systems. We find that, as we go from central collisions to peripheral ones, the effect of mass asymmetry on ${E}_{\text{bal}}$ increases throughout the mass range. Interestingly, we find that for every fixed system mass (${A}_{\text{tot}}$) the effect of the impact parameter variation is almost uniform throughout the mass-asymmetry range. For each $\ensuremath{\eta}$, ${E}_{\text{bal}}$ follows a power-law behavior ($\ensuremath{\propto}$${A}^{\ensuremath{\tau}}$) at all colliding geometries.