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Gluon Fragmentation into Polarized Charmonium
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Gluon fragmentation to chi_cJ(1P) followed by single photon emission represents the dominant source of prompt J/psi's at the Fermilab Tevatron for p_perp >~ 6 GeV. Since fragmenting gluons are approximately transverse, their products are significantly polarized. We find that gluon fragmentation populates the helicity levels of chi_c1, chi_c2, and J/psi .... We also speculate that gluon fragmentation to the radially excited chi_c2(2P) state followed by radiative decay would represent a large source of psi'(2S)'s. A measurement of these states' polarizations would test this idea.
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