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

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 $p_{\perp }$ 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.

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

References in corpus (7)

• Modelling light-cone distribution amplitudes from non-relativistic bound states
• The study of leading twist light cone wave function of η_c meson
• Covariant light-front approach for heavy quarkonium: decay constants, P \to γγand V \to P γ
• The study of leading twist light cone wave functions of J/Psi meson
• Relativistic effects in the production of pseudoscalar and vector doubly heavy mesons from e^+e^- annihilation
• Perturbative QCD analysis of exclusive J/ψ+η_c production in e^+e^- annihilation
• The study of leading twist light cone wave functions of 2S state charmonium mesons

Cited by in corpus (7)

• Parton Distribution Functions of Heavy Mesons on the Light Front
• Mixing effects on 1S and 2S state heavy mesons in the light-front quark model
• Relativistic corrections to light-cone distribution amplitudes of S-wave $B_c$ mesons and heavy quarkonia
• Leading-twist light cone distribution amplitudes for p-wave heavy quarkonium states
• Spectroscopy of excited quarkonium states in the light-front quark model
• Off forward non-SCHC contributions to exclusive vector quarkonium production from the "spin dependent BFKL Pomeron"
• Ground state pseudoscalar mesons on the light front: from the light to heavy sector