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

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Abstract

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 ⊥ integrals of the formulae for the decay constant are performed analytically. Then the quark distribution amplitudes are obtained. In addition, the ξ-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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Authors and Affiliations

  1. Department of Physics, National Kaohsiung Normal University, Kaohsiung, 824, Taiwan

    Chien-Wen Hwang

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  1. Chien-Wen Hwang
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Correspondence to Chien-Wen Hwang.

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Hwang, CW. Study of quark distribution amplitudes of 1S and 2S heavy quarkonium states. Eur. Phys. J. C 62, 499–509 (2009). https://doi.org/10.1140/epjc/s10052-009-1046-7

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  • DOI: https://doi.org/10.1140/epjc/s10052-009-1046-7

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