Double gluon fragmentation to $J/\ddot{I}ˆ$ pairs at the Tevatron

Abstract

It has been proposed that the large cross sections for prompt $\ddot{I}ˆ$, $\ddot{I}{ˆ}^{\prime }$, and $\ddot{I}{‡}_c$ 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 $\ddot{I}ˆ\ddot{I}ˆ$, $\ddot{I}ˆ\ddot{I}{ˆ}^{\prime }$, $\ddot{I}ˆ\ddot{I}{‡}_c$, $\ddot{I}ˆ\hat{I}\yen$ and $\ddot{I}ˆ\ddot{I}{‡}_b$ production, as well as for $W\ddot{I}ˆ$ production, using color-octet matrix elements previously determined from charmonium production data. The $\ddot{I}ˆ\ddot{I}ˆ$ signal would already be measurable at the Tevatron, while the $\ddot{I}ˆ\ddot{I}{‡}_c$ and $W\ddot{I}ˆ$ signals would be on the edge of present detectability.

Revtex, 11 pages, one postscript figure. Compressed postscript file of text with figure available at http://phenom.physics.wisc.edu/pub/preprints/1995/madph-95-911.ps.Z or at ftp://phenom.physics.wisc.edu/pub/preprints/1995/madph-95-911.ps.Z