Leading twist distribution amplitudes of P-wave nonrelativistic mesons

Abstract

This paper is devoted to the study of the leading twist distribution amplitudes of P-wave nonrelativistic mesons. It is shown that at the leading order approximation in relative velocity of quark-antiquark pair inside the mesons these distribution amplitudes can be expressed through one universal function. As an example, the distribution amplitudes of the P-wave charmonia mesons are considered. Within QCD sum rules the model for the universal function of P-wave charmonia mesons is built. In addition, it is found the relations between the moments of the universal function and the nonrelativistic QCD matrix elements that control relativistic corrections to any amplitude involving P-wave charmonia. Our calculation shows that characteristic size of these corrections is of order of ~30 %.

arXiv comment9 pages, minor corrections, reference updated, version to be published in Phys. Rev. D

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• Twist-2 Pseudoscalar and Vector Meson Distribution Amplitudes in Light-Front Quark Model with Exponential-type Confining Potential
• Probing the $P$-wave charmonium decays of $B_c$ meson
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• Double Charmonia Production in Exclusive $Z$ Boson Decays
• Average speed and its powers $v^n$ of a heavy quark in quarkonia
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• Exclusive C=+ charmonium production in $e^{+}{e}^{-}\to H+\gamma$ at B-factories within light cone formalism
• Study of light-cone distribution amplitudes for p-wave heavy mesons
• Hadronic Production of $ch{i}_c$-mesons at LHC
• Mass of nonrelativistic meson from leading twist distribution amplitudes
• Analytical calculation of heavy quarkonia production processes in computer
• Properties of the quark-antiquark-gluon Fock state in the η_c meson