Mass dependence of disappearance of transverse in-plane flow

A theoretical study is presented for the disappearance of flow by analyzing a large number of reactions with masses between 47 and 476 units. We demonstrate that the effect of nucleon-nucleon cross sections reduces, to an insignificant level for heavier colliding nuclei in agreement with previous studies. A stiff equation of state with nucleon-nucleon cross sections sigma=35-40 mb is able to explain all the measured balance energies. A power law (proportional toA(tau)) is also given for the mass dependence of disappearance of flow, which is in good agreement with experimental data.