Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2000-01-10
Phys.Rev. D62 (2000) 034004
Physics
High Energy Physics
High Energy Physics - Phenomenology
latex, 45 pages; (v2) some typos corrected, version to appear in PRD
Scientific paper
10.1103/PhysRevD.62.034004
According to our present understanding many $J/\psi$ production processes proceed through a coloured $c\bar{c}$ 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.
Beneke Martin
Schuler Gerhard A.
Wolf Sebastian
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