Study of anisotropic flow of heavy hadrons in Au + Au collisions at $\sqrt{s_{NN}} =$ 200 GeV using HYDJET++ framework

Abstract: A comprehensive study of the anisotropic flow of heavy hadrons ($D^{0}$, $D^{\pm}$, and $\Lambda_{c}$) in Au + Au collisions at $\sqrt{s_{NN}} = 200$ GeV using the HYDJET++ model is presented. This study aims to explore the collective behavior and thermalization of charm hadrons at RHIC energy. The modeling of anisotropic flow is performed using a centrality-dependent parameterization of anisotropic parameters. Our model results are consistent with STAR experimental results up to $p_{T} = 4$ GeV/c. It captures the centrality-dependent shifts of the flow peak towards lower $p_{T}$ as collisions become more peripheral. This shift is attributed to the weaker radial flow in peripheral collisions. The model also reproduces important features such as the number-of-constituent-quark scaling, mass ordering, and baryon-meson grouping, all consistent with experimental observations. Furthermore, we present comparisons with other models, like DUKE, SUBATECH, TAMU, and AMPT. Overall, our results highlight the efficacy of HYDJET++ in describing the collective dynamics of heavy-flavor hadrons in the quark-gluon plasma medium.