Systematic study of the energy of vanishing flow: Role of equations of state and cross sections

TL;DR

This study systematically investigates how the energy of vanishing flow in symmetric nuclear collisions depends on the equation of state, cross sections, and impact parameter, revealing a consistent power law mass dependence.

Contribution

It provides a comprehensive analysis of the factors affecting the energy of vanishing flow, highlighting the dominant role of impact parameter and the limited sensitivity to the equation of state.

Findings

Power law mass dependence of vanishing flow energy.

Impact parameter significantly influences the energy.

Limited sensitivity of vanishing flow energy to the equation of state.

Abstract

We present a systematic study of the energy of vanishing flow by considering symmetric colliding nuclei (between $^{12}$C and $^{238}$U) at normalized impact parameters using variety of equations of state (with and without momentum dependent interactions) as well as different nucleon-nucleon cross sections. A perfect power law mass dependence is obtained in all the cases which passes through calculated points nicely. Further, the choice of impact parameter affects the energy of vanishing flow drastically, demanding a very accurate measurement of the impact parameter. However, the energy of vanishing flow is less sensitive towards the equation of state as well as its momentum dependence.