Momentum dependence of $\phi$ meson's spin alignment

We study the rapidity and azimuthal angle dependences of the global spin alignment $\rho_{00}$ for $\phi$ mesons with respect to the reaction plane in Au+Au collisions at RHIC by the relativistic coalescence model in the spin transport theory. The global spin alignment of $\phi$ mesons arises from local fluctuations of strong force fields whose values are extracted from the STAR's data. The calculated results show that $\rho_{00}<1/3$ at the rapidity $Y=0$, and then it increases with rapidity and becomes $\rho_{00}>1/3$ at $Y=1$. Such a rapidity dependence is dominated by the relative motion of the $\phi$ meson in the bulk matter. We also give prediction for the azimuthal angle dependence of $\rho_{00}$ at different rapidities.
Comment: RevTex 4, 5 pages, 4 figures