Study of quark distribution amplitudes of 1S and 2S heavy quarkonium states

Details Study of quark distribution amplitudes of 1S and 2S heavy quarkonium states Study of quark distribution amplitudes of 1S and 2S heavy quarkonium states

2008-11-05

arxiv.org/abs/0811.0648v2

Eur.Phys.J.C62:499-509,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

22 pages, 6 figures, some typos are corrected, version for publish in EPJC

Scientific paper

10.1140/epjc/s10052-009-1046-7

In this paper, the quark distribution amplitudes of 1S and 2S heavy quarkonium states are studied in terms of Gaussian-type wave functions. The transverse momenta $p_\perp$ integrals of the formulae for the decay constant are performed analytically. Then the quark distribution amplitudes are obtained. In addition, the $\xi$-moments are also calculated. After fixing the relevant parameters appearing in the quark distribution amplitude, the curves of the quark distribution amplitude for 1S and 2S heavy quarkonium states are plotted. Finally, the numerical results of this approach are compared with the other theoretical predictions.

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