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 distribution ($dN∕dy$), rapidity-odd directed flow ($v_1$) and its slope ($d{v}_1∕dy$) for ${\pi }^{\pm }$, $K^{\pm }$, p, and $\overline{\mathrm{\text{p}}}$ in Au+Au collisions at different collision centralities and beam energies ($\sqrt{s_{\mathrm{\text{NN}}}}=7.7$, 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 $d{v}_1∕dy$ for p ($\overline{\mathrm{\text{p}}}$) exhibits distinct pattern compared to ${\pi }^{\pm }$ and $K^{\pm }$. Notably, we observe a change in the sign reversal position of proton $d{v}_1∕dy$ at different beam energies with varying $\tau$ in central and mid-central collisions. Moreover, the difference in $d{v}_1∕dy$ between positively and negatively charged hadrons ($\mathrm{\Delta }d{v}_1∕dy$) demonstrates a stark centrality dependence for different particle species. The deuteron displays a significant increase in $d{v}_1∕dy$ 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.

已识别粒子的定向流可以作为研究重离子碰撞初始和最终状态期间相互作用的灵敏工具。本研究考察了速度分布（$d氮∕dy$），奇数定向流（$v_1$）及其斜率（$d{v}_1∕dy$） 为了${\pi }^{\pm }$,$K^{\pm }$、 p 和$\overline{\mathrm{\text{p}}}$在不同碰撞中心和光束能量的 Au+Au 碰撞中（$\sqrt{s_{\mathrm{\text{神经网络}}}}=7。7$、11.5、14.5、19.6、27 和 39$$GeV）使用 UrQMD 模型。我们研究了后期强子相互作用对电荷依赖性的影响$v_1（y）$及其斜率，通过修改强子级联寿命的持续时间（$\tau$）。能量依赖性$d{v}_1∕dy$对于 p ($\overline{\mathrm{\text{p}}}$）与${\pi }^{\pm }$和$K^{\pm }$。值得注意的是，我们观察到质子符号反转位置的变化$d{v}_1∕dy$在不同的光束能量下$\tau$在中央和中中央碰撞中。此外，差异在于$d{v}_1∕dy$带正电和带负电的强子之间（$\mathrm{\Delta }d{v}_1∕dy$）展示了不同粒子种类的明显中心性依赖性。氘核显示显着增加$d{v}_1∕dy$随着增加$\tau$与p和n相比。这项研究强调了在解释强子相的符号反转、电荷分裂时考虑强子相的时间演化和持续时间的重要性。$v_1$以及在较低 RHIC 能量下形成轻核。