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Lu, Y., Chang, L., Raya, K., Roberts, C.D. and Rodríguez-Quintero, J. (2022) Proton and Pion Distribution Functions in Counterpoint. Physics Letters B, 830, Article ID: 137130.
https://doi.org/10.1016/j.physletb.2022.137130

has been cited by the following article:

• TITLE: New Approach to Pion Distribution Amplitude

  AUTHORS: Teruo Kurai

  KEYWORDS: Distribution Amplitude, ‘t Hooft Model

  JOURNAL NAME: Journal of Modern Physics, Vol.16 No.6, June 25, 2025

  ABSTRACT: The usual pion distribution amplitude is typically constructed using functions based on one of the trial functions from the ‘t Hooft singular integral equation, specially of the form x( 1−x ) type. However, these of function are not exact solutions of the ‘t Hooft equation, which means a pion distribution amplitude constructed in this manner may not accurately represent a real pion as described by Light Front QCD. In contrast, we have developed a pion distribution amplitude using solutions that correspond to zero-mass state wave functions of a bound system of 1 + 1 dimensional QCD derived from the ‘t Hooft model. Our distribution amplitude shows 1−x x behavior as x approaches 1. Notably, asymptotic form of our distribution amplitude reveals an intriguing property: peak of our distribution amplitude shifts towards x=1 as the coupling constant g 2 increases.