# Energy dependence study of directed flow in Au+Au collisions using an improved coalescence in AMPT model

## TL;DR

This study investigates the energy dependence of directed flow in gold-gold collisions using an improved coalescence model within AMPT, revealing differences between transported and produced quarks and highlighting strange quark sensitivity to the EoS softening.

## Contribution

It introduces a data-driven method to distinguish transported and produced quarks and analyzes their directed flow across various energies using an improved coalescence approach.

## Key findings

- Violation of constituent quark scaling at lower energies.
- Strange quark and phi meson show double sign change in v1 slope around 14.5 GeV.
- Strange quark is more sensitive to the softening of the Equation of State.

## Abstract

The rapidity-odd component of directed flow ($v_{1}$) of identified hardons ($\pi^{\pm}$, $K^{\pm}$, $K^{0}_{S}$, $p$, $\bar{p}$, $\phi$, $\Xi$, $\bar{\Xi}$, $\Lambda$, $\bar{\Lambda}$) and partons ($u$, $\bar{u}$, $d$, $\bar{d}$, $s$, $\bar{s}$) in Au+Au collisions at various beam energies ($\sqrt{s_{\rm NN}}$ = 7.7, 11.5, 14.5, 19.6, 27, 39, 54.4, 62.4, 200 GeV) using a multi-phase transport model is analyzed. A data driven approach (inspired from the experimental analysis) is performed here to distinguish the transported and produced quarks which are found to have different directed flow values at various collision beam energies. The coalescence sum rule (Number of Constituent Quark scaling) violation is observed at lower energies where hadronic matters dominate. The strange quark ($s$) and $\phi$ meson slope (d$v_{1}$/d$y$) show a double sign change around 14.5 GeV, unlike other partons and hadrons. It suggests that strange quark is more sensitive to the softening of Equation of State (EoS).