The $η_cγγ^*$ transition form factor in the decay $η_c\to γ\ell^+\ell^-$ and in the crossed channels $γe^-\to η_c e^- $ and $e^+e^-\toη_cγ

Details The $η_cγγ^*$ transition form factor in the decay $η_c\to γ\ell^+\ell^-$ and in the crossed channels $γe^-\to η_c e^- $ and $e^+e^-\toη_cγ The $η_cγγ^*$ transition form factor in the decay $η_c\to γ\ell^+\ell^-$ and in the crossed channels $γe^-\to η_c e^- $ and $e^+e^-\toη_cγ

2000-04-12

arxiv.org/abs/hep-ph/0004112v1

Eur.Phys.J.C16:295-302,2000

Physics

High Energy Physics

High Energy Physics - Phenomenology

20 pages, 9 figures

Scientific paper

10.1007/s100520050022

The Dalitz distribution and the effective mass spectrum of the lepton pair produced in the decay $\eta_c\to \gamma \ell^+ \ell^-$, as well as the differential cross sections for the crossed channels $\gamma e^-\to \eta_c e^- $ and $e^+ e^-\to \eta_c \gamma$, are calculated in terms of the sole electromagnetic transition form factor for the vertex $\eta_c\to\gamma \gamma^*$, where $\gamma^*$ is a virtual photon with a space-like (for $\gamma e^- \to \eta_c e^- $) or a time-like (for $e^+ e^-\to \eta_c \gamma$ and $\eta_c\to\gamma \ell^+\ell^-$) four-momentum. Explicit parametrisations of the transition form factor are found in two different approaches, namely in Vector Dominance Model and in a QCD-inspired consideration on the basis of the process $c \bar{c}\to \gamma \ell^+ \ell^-$, with zero relative three-momentum of the annihilating quarks.

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