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We study contributions from color-octet quarkonium formation mechanisms to$J/\psi$ hadroproduction at low $p_\perp$. We include transitions ofcolor-octet $c\bar{c}$ states into ``direct'' $J/\psi$ and into $\chi_{1,2}$which decay radiatively into a $J/\psi$. Together with earlier work, thiscalculation constitutes a complete analysis of $p_\perp$-integrated $J/\psi$production at leading twist. We find that the leading-twist contribution is notsufficient to reproduce the observed production rates and polarization of the$J/\psi$ and $\chi_{1,2}$. Hence there must exist other important quarkoniumproduction mechanisms at low $p_\perp$.Comment: REVTEX, 18 pages, 4 figures include

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

Color octet<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mfrac><mml:mrow><mml:mi>J</mml:mi></mml:mrow><mml:mrow><mml:mi>ψ</mml:mi></mml:mrow></mml:mfrac></mml:math>production at low<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mi>⊥</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>

Color octetJψproduction at lowp⊥