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Gluon fragmentation into [ital P]-wave heavy quarkonium

Journal Article · · Physical Review, D (Particles Fields); (United States)
 [1];  [2]
  1. Fermi National Accelerator Laboratory, P.O. Box 500, Batavia, Illinois 60510 (United States)
  2. Davis Institute for High Energy Physics, Department of Physics, University of California, Davis, California 95616 (United States)

The fragmentation functions for gluons to split into [ital P]-wave heavy quarkonium states are calculated to leading order in the QCD coupling constant. Long-distance effects are factored into two nonperturbative parameters: the derivative of the radial wave function at the origin and a second parameter related to the probability for a heavy-quark--antiquark pair that is produced in a color-octet [ital S]-wave state to form a color-singlet [ital P]-wave bound state. The fragmentation probabilities for a high transverse momentum gluon to split into the [ital P]-wave charmonium states [chi][sub [ital c]0], [chi][sub [ital c]1], and [chi][sub [ital c]2] are estimated to be 0.4[times]10[sup [minus]4], 1.8[times]10[sup [minus]4], and 2.4[times]10[sup [minus]4], respectively. This fragmentation process may account for a significant fraction of the rate for the inclusive production of [chi][sub [ital c][ital J]] at large transverse momentum in [ital p[bar p]] colliders.

DOE Contract Number:
FG02-91ER40684; FG03-91ER40674
OSTI ID:
7142650
Journal Information:
Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 50:5; ISSN PRVDAQ; ISSN 0556-2821
Country of Publication:
United States
Language:
English