https://doi.org/10.1140/epjc/s10052-023-11851-x
Regular Article - Theoretical Physics
twist-2 distribution amplitude and 
transition form factors
1
School of Physics and Mechatronic Engineering, Guizhou Minzu University, 550025, Guiyang, People’s Republic of China
2
Department of Physics, Chongqing University, 401331, Chongqing, People’s Republic of China
Received:
2
January
2023
Accepted:
17
July
2023
Published online:
30
July
2023
Based on the scenario that the is viewed as the ground state of 
or 
, we study the leading-twist distribution amplitude (DA) 
with the QCD sum rules in the framework of background field theory. A more reasonable sum rule formula for 
-moments 
is suggested, which eliminates the influence brought by the fact that the sum rule of 
cannot be normalized in whole Borel region. More accurate values of the first ten -moments, 
, are evaluated. A new light-cone harmonic oscillator (LCHO) model for leading-twist DA is established for the first times. By fitting the resulted values of via the least squares method, the behavior of leading-twist DA described with LCHO model is determined. Further, by adopting the light-cone QCD sum rules, we calculate the transition form factors and branching fractions of the semileptonic decays 
. The corresponding numerical results can be used to extract the Cabibbo-Kobayashi-Maskawa matrix elements by combining the relative experimental data in the future.
© The Author(s) 2023
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