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Published September 11, 1997 | Submitted
Journal Article Open

Kinematic enhancement of non-perturbative corrections to quarkonium production

Abstract

In this letter we address issues involved in quarkonium production near the boundaries of phase space. It is shown that higher-order non-perturbative contributions are enhanced in this kinematic region and lead to a breakdown of the non-relativistic (NRQCD) expansion. This breakdown is a consequence of sensitivity to the kinematics of soft gluon radiation and to the difference between partonic and hadronic phase space. We show how these large corrections can be resummed giving the dominant contribution to the cross section. The resummation leads to the introduction of non-perturbative, universal distribution functions. We discuss the importance of these shape functions for several observables, in particular the energy distribution of photo-produced J_ψ close to the endpoint.

Additional Information

© 1997 Elsevier. Received 14 May 1997. M.B. wishes to thank the CalTech theory group for its hospitality while part of this work was done. M.B.W. was supported in part by the US Department of Energy under grant number DE-FGO3-92-ER40701. I.Z.R. was supported in part by the US Department of Energy under grant number DE-FG03-90-ER40546.

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