Next-to-leading nonperturbative calculation in heavy quarkonium

Details Next-to-leading nonperturbative calculation in heavy quarkonium Next-to-leading nonperturbative calculation in heavy quarkonium

1996-11-22

arxiv.org/abs/hep-ph/9611388v2

Nucl.Phys. B494 (1997) 213-236

Physics

High Energy Physics

High Energy Physics - Phenomenology

28 pages, LaTeX, two eps files. Some points clarified. New range of parameters studied. New references added. To be published

Scientific paper

10.1016/S0550-3213(97)00175-2

The next-to-leading nonperturbative contributions to heavy quarkonium systems are calculated. The applicability of the Voloshin-Leutwyler approach to heavy quarkonia systems for the physical cases of Bottomonium and Charmonium is investigated. We study whether the background gluon field correlation time can be considered to be infinity or not, by calculating the leading correction to this assumption and checking whether the expansion is under control. A phenomenological analysis of our results is also performed. The results make us feel optimistic about the $\Upsilon(1S)$ and to a lesser extent about the $J/\psi$ but do not about higher levels. We also briefly discuss the connection with different models where a finite gluon correlation time is introduced.

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