Abstract :
We have presented a detailed study of twist-2 and twist-3 light-cone distribution amplitudes of image and image axial-vector mesons, based on QCD conformal partial wave expansion. Applying equations of motion, the twist-three two-parton light-cone distribution amplitudes can be expressed in terms of leading-twist and twist-three three-parton light-cone distribution amplitudes. The relevant G-parity invariant and violating parameters, containing the corrections due to the image breaking effects, are evaluated from the QCD sum rule method. The results for axial-vector decay constants of image states are presented. The values of tensor decay constants and Gegenbauer moments of the leading twist distribution amplitudes for image states are updated. Using Gell-Mann–Okubo mass formula, the mixing angle for the image and image of image states is image, and that for image and image of image states is image. The detailed properties for physical states image, image, image, and image are given. Assuming the mixing angle between image and image to be image or −45°, we also give the detailed study for image and image. Using the conformal partial wave expansion, we obtain the models for light-cone distribution amplitudes, containing contributions up to conformal spin 9/2. It is interesting to note that some distribution amplitudes have significant asymmetric behaviors, which should be phenomenologically attractive.
