Leading-twist light cone distribution amplitudes for p-wave heavy quarkonium states

Abstract

In this paper, a study of light-cone distribution amplitudes for p-wave heavy quarkonium states are presented. Within the light-front framework, the leading twist light-cone distribution amplitudes, and their relevant decay constants, have some simple relations. These relations can be further simplified when the non-relativistic limit and the wave function as a function of relative momentum |\vecκ| are taken into consideration. In addition, the κ_\perp integrations in the equations of LCDAs and ξ-moments can be completed analytically when the Gaussian-type wave function is considered. After fixing the parameters that appear in the wave function, the curves and the corresponding decay constants of the LCDAs are plotted and calculated for the charmonium and bottomonium states. The first three ξ-moments of the LCDAs are estimated and are consistent with those of other theoretical approaches.

25 pages, 2 figures, some details and one reference added; version to appear in JHEP

References in corpus (10)

• Quarkonia and their transitions
• Moments of pseudoscalar meson distribution amplitudes from the lattice
• Potential model calculations and predictions for heavy quarkonium
• Distribution amplitudes and decay constants for $(\pi ,K,\rho ,K^{\ast })$ mesons in light-front quark model
• Covariant light-front approach for heavy quarkonium: decay constants, P \to γγand V \to P γ
• Hadronic charmless B decays B-> AP
• The leading-twist pion and kaon distribution amplitudes from the QCD instanton vacuum
• Leading twist distribution amplitudes of P-wave nonrelativistic mesons
• Spin-dependent interactions in quarkonia
• Study of quark distribution amplitudes of 1S and 2S heavy quarkonium states