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    Dominant Spin-Flip Effects for the Hadronic Produced J/ψJ/\psi Polarization at TEVATRON

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    Dominant spin-flip effects for the direct and prompt J/ψJ/\psi polarizations at TEVATRON run II with collision energy 1.96 TeV and rapidity cut ∣yJ/ψ∣<0.6|y^{J/\psi}|<0.6, have been systematically studied, especially, the spin-flip effect for the transition of (ccˉ)8[3S1](c\bar{c})_8[^3S_1] into J/ψJ/\psi has been carefully discussed. It is found that the spin-flip effect shall always dilute the J/ψJ/\psi polarization, and with a suitable choice of the parameters a0,1a_{0,1} and c0,1,2c_{0,1,2}, the J/ψJ/\psi polarization puzzle can be solved to a certain degree. At large transverse momentum ptp_t, α\alpha for the prompt J/ψJ/\psi is reduced by ∼50\sim50% for f0=v2f_0 = v^2 and by ∼80\sim80% for f0=1f_0=1. We also study the indirect J/ψJ/\psi polarization from the bb-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.Comment: 19 pages, 5 figures. References added. Revised version to be published in Phys.Rev.
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