Double gluon fragmentation to $J/ψ$ pairs at the Tevatron

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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Revtex, 11 pages, one postscript figure. Compressed postscript file of text with figure available at http://phenom.physics.w

Scientific paper

10.1016/0370-2693(95)01592-2

It has been proposed that the large cross sections for prompt $\psi$, $\psi'$, and $\chi_c$ production at the Fermilab Tevatron $p\bar p$ collider can be explained by a dominant color-octet term in the fragmentation function for a gluon to split into quarkonium. We show that this mechanism makes testable predictions for double-quarkonium $\psi\psi$, $\psi\psi'$, $\psi\chi_c$, $\psi\Upsilon$ and $\psi\chi_b$ production, as well as for $W \psi$ production, using color-octet matrix elements previously determined from charmonium production data. The $\psi\psi$ signal would already be measurable at the Tevatron, while the $\psi\chi_c$ and $W\psi$ signals would be on the edge of present detectability.

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