Three-particle correlations in relativistic heavy ion collisions in a multiphase transport model

Using a multiphase transport model, we study three-particle mixed harmonic correlations in relativistic heavy ion collisions by considering the observable $C_{m,n,m+n}=\langle\negmedspace\langle \cos(m\phi_1+n\phi_2-(m+n)\phi_3)\rangle\negmedspace\rangle$,where$\phi_{1,2,3}$ are azimuthal angles of all particle triplets. We find that except for $C_{123}$, our results on the centrality dependence of $C_{112}$, $C_{224}$ and $C_{235}$ as well as the relative pseudorapidity dependence of $C_{123}$ and $C_{224}$ in Au+Au collisions at $\sqrt{s}=$200 GeV agree reasonable well with the experimental data from the STAR Collaboration. We discuss the implications of our results.