Regular Article - Theoretical Physics
-meson longitudinal twist-2 distribution amplitude and the decay processes
Department of Physics, Guizhou Minzu University, 550025, Guiyang, People’s Republic of China
2 Department of Physics, Chongqing Key Laboratory for Strongly Coupled Physics, Chongqing University, 401331, Chongqing, People’s Republic of China
Accepted: 26 June 2022
Published online: 9 July 2022
In the paper, we investigate the moments of the axial-vector -meson distribution amplitude by using the QCD sum rules approach under the background field theory. By considering the vacuum condensates up to dimension-six and the perturbative part up to next-to-leading order QCD corrections, its first five moments at an initial scale are , , , and , respectively. We then construct a light-cone harmonic oscillator model for -meson longitudinal twist-2 distribution amplitude , whose model parameters are fitted by using the least squares method. As an application of , we calculate the transition form factors (TFFs) of in large and intermediate momentum transfers by using the QCD light-cone sum rules approach. At the largest recoil point (), we obtain , , , and . By applying the extrapolated TFFs to the semi-leptonic decay , we obtain , , , .
© The Author(s) 2022
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