${\chi }_{cJ}$ Polarization in Polarized Proton-Proton Collisions at RHIC

Abstract

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.

Comments: Final Version, Accepted for Publication in Phys. Part. Nucl. Lett., 25 pages latex, 15 .eps figures. arXiv admin note: substantial text overlap with arXiv:hep-ph/0509335