chi_(cJ) Polarization in Polarized Proton-Proton Collisions at RHIC

We study inclusive $\chi_{cJ}$ production with definite polarizations in polarized proton-proton collisions at $\sqrt{s}$ = 200 GeV and 500 GeV at RHIC by using non-relativistic QCD (NRQCD) color-octet mechanism. We present results of rapidity distribution of $\chi_{c0}$, $\chi_{c1}$ and $\chi_{c2}$ production with specific polarizations in polarized p-p collisions at RHIC within the PHENIX detector acceptance range. We also present the corresponding results for the spin asymmetries.