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We calculated the polarization of \psi' due to gg \to Q\bar{Q}[^3P_J^(8)]g\to \psi^\lambda color-octet quarkonia production. We find that at lowtransverse momenta the \psi' is unpolarized due to the contributionsproportional to the L=S=0 and L=S=1 color-octet matrix elements. As p_\perpincreases, the \psi' mesons become 100% polarized, as predicted byfragmentation calculations. Polarization due to lowest order color-singletproduction is also considered, which qualitatively has a similar shape to thecolor-octet production.Comment: 10 pages revtex, uses epsf, some formulae correcte

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>ψ</mml:mi></mml:mrow><mml:mrow><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math>polarization due to color-octet quarkonia production

ψ′polarization due to color-octet quarkonia production