Examining the influence of hadronic interactions on the directed flow of identified particles in RHIC Beam Energy Scan energies using UrQMD model

Abstract: The directed flow of identified particles can serve as a sensitive tool for investigating the interactions during initial and final states in heavy ion collisions. This study examines the rapidity-odd directed flow ($v_{1}$) and its slope ($dv_{1}/dy$) for $\pi<sup>{\pm}$, $K<sup>{\pm}$, p, and $\bar{\mathrm p}$ in Au+Au collisions at different collision centralities and beam energies ($\sqrt{s_{\mathrm NN}}$ = 7.7, 11.5, 14.5, 19.6, 27, and 39 GeV) using the UrQMD model. We investigate the impact of late-stage hadronic interactions on charge dependent $v_{1}(y)$ and its slope by modifying the duration of the hadronic cascade lifetime ($\tau$). The energy dependence of $dv_{1}/dy$ for p ($\bar{\mathrm p}$) exhibits distinct pattern compared to $\pi<sup>{\pm}$ and $K<sup>{\pm}$. Notably, we observe a change in the sign reversal position of proton $dv_{1}/dy$ at different beam energies with varying $\tau$ in central and mid-central collisions. Moreover, the difference in $dv_{1}/dy$ between positively and negatively charged hadrons ($\Delta dv_{1}/dy$) demonstrates a stark centrality dependence for different particle species. The deuteron displays a significant increase in $dv_{1}/dy$ with increasing $\tau$ compared to p and n. This investigation underscores the importance of considering the temporal evolution and duration of the hadronic phase when interpreting the sign reversal, charge splitting of $v_{1}$ and light nuclei formation at lower RHIC energies.