Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2009-04-21
Phys.Rev.D80:034010,2009
Physics
High Energy Physics
High Energy Physics - Phenomenology
19 pages, 5 figures. References added. Revised version to be published in Phys.Rev.D
Scientific paper
10.1103/PhysRevD.80.034010
Dominant spin-flip effects for the direct and prompt $J/\psi$ polarizations at TEVATRON run II with collision energy 1.96 TeV and rapidity cut $|y^{J/\psi}|<0.6$, have been systematically studied, especially, the spin-flip effect for the transition of $(c\bar{c})_8[^3S_1]$ into $J/\psi$ has been carefully discussed. It is found that the spin-flip effect shall always dilute the $J/\psi$ polarization, and with a suitable choice of the parameters $a_{0,1}$ and $c_{0,1,2}$, the $J/\psi$ polarization puzzle can be solved to a certain degree. At large transverse momentum $p_t$, $\alpha$ for the prompt $J/\psi$ is reduced by $\sim50%$ for $f_0 = v^2$ and by $\sim80%$ for $f_0=1$. We also study the indirect $J/\psi$ polarization from the $b$-decays, which however is slightly affected by the same spin-flip effect and then shall provide a better platform to determine the color-octet matrix elements.
Fang Zhen-Yun
Wu Xing-Gang
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