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17 April 2024
 
  » arxiv » hep-ph/0001062

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Quarkonium momentum distributions in photoproduction and B decay
M. Beneke ; G.A. Schuler ; S. Wolf ;
Date 10 Dec 1999
Journal Phys.Rev. D62 (2000) 034004
Subject hep-ph
AffiliationCERN), G.A. Schuler (CERN), S. Wolf (Karlsruhe
AbstractAccording to our present understanding many $J/psi$ production processes proceed through a coloured $car{c}$ state followed by the emission of soft particles in the quarkonium rest frame. The kinematic effect of soft particle emission is usually a higher-order effect in the non-relativistic expansion, but becomes important near the kinematic endpoint of quarkonium energy (momentum) distributions. In an intermediate region a systematic resummation of the non-relativistic expansion leads to the introduction of so-called `shape functions’. In this paper we provide an implementation of the kinematic effect of soft gluon emission which is consistent with the non-relativistic shape function formalism in the region where it is applicable and which models the extreme endpoint region. We then apply the model to photoproduction of $J/psi$ and $J/psi$ production in $B$ meson decay. A satisfactory description of $B$ decay data is obtained. For inelastic charmonium photoproduction we conclude that a sensible comparison of theory with data requires a transverse momentum cut larger than the currently used 1 GeV.
Source arXiv, hep-ph/0001062
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