Phenomenological Scaling of Rapidity Dependence for Anisotropic Flows in 25 MeV/nucleon Ca + Ca by Quantum Molecular Dynamics Model

TL;DR

This study investigates anisotropic flow patterns in calcium collisions at 25 MeV/nucleon using a quantum molecular dynamics model, revealing a scaling behavior of flow parameters with mass number and a constant ratio between certain flow coefficients.

Contribution

It introduces a phenomenological scaling law for rapidity-dependent flow parameters in light fragments, highlighting the interplay of collective and random motions.

Findings

Flow parameters scale with mass number plus a constant term.

The ratio v4/v2^2 remains approximately constant at 1/2 across rapidities.

Flow behavior suggests interplay of collective and stochastic effects.

Abstract

Anisotropic flows ($v_1$, $v_2$, $v_3$ and $v_4$) of light fragments up till the mass number 4 as a function of rapidity have been studied for 25 MeV/nucleon $^{40}$Ca + $^{40}$Ca at large impact parameters by Quantum Molecular Dynamics model. A phenomenological scaling behavior of rapidity dependent flow parameters $v_n$ (n = 1, 2, 3 and 4) has been found as a function of mass number plus a constant term, which may arise from the interplay of collective and random motions. In addition, $v_4/{v_2}^2$ keeps almost independent of rapidity and remains a rough constant of 1/2 for all light fragments.