Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2001-12-05
Eur.Phys.J.C24:101-108,2002
Physics
High Energy Physics
High Energy Physics - Phenomenology
17 pages, 7 figures
Scientific paper
10.1007/s100520200920
We calculate the dynamical relativistic corrections, originating from radiative one-gluon-exchange, to the leptonic decay width of heavy quarkonia in the framework of a covariant formulation of Light-Front Dynamics. Comparison with the non-relativistic calculations of the leptonic decay width of J=1 charmonium and bottomonium S-ground states shows that relativistic corrections are large. Most importantly, the calculation of these dynamical relativistic corrections legitimate a perturbative expansion in $\alpha_s$, even in the charmonium sector. This is in contrast with the ongoing belief based on calculations in the non-relativistic limit. Consequences for the ability of several phenomenological potential to describe these decays are drawn.
Bissey F.
Dugne Jean-Jacques
Mathiot Jean-Francois
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