Validity of the Color Dipole Approximation for Diffractive Production of Heavy Quarkonium

Details Validity of the Color Dipole Approximation for Diffractive Production of Heavy Quarkonium Validity of the Color Dipole Approximation for Diffractive Production of Heavy Quarkonium

2000-05-25

arxiv.org/abs/hep-ph/0005250v2

Phys.Rev.D62:031501,2000

Physics

High Energy Physics

High Energy Physics - Phenomenology

minor modifications are made, Phys. Rev. D in press

Scientific paper

10.1103/PhysRevD.62.031501

We study the diffractive photo- and leptoproductions of $J / \psi$ and $\psi '$ on the proton, and examine the validity of the small-size color dipole approximation to the production of radially excited heavy quarkonium. The dipole model predicts a small ratio of $\psi '$ to $J / \psi$ photoproduction cross sections, which does not agree with experimental data. We show that this discrepancy originates from a large transverse size of $\psi '$ which makes the convergence of the transverse size expansion questionable, and the calculation without the dipole approximation turns out to be consistent with the data. Productions of $\Upsilon '(2S,3S)$ are also discussed, and the dipole approximation is found to be reasonable for the $\Upsilon$-family.

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