Two-particle twist-3 distribution amplitudes of the pion and kaon in the light-front quark model

• Published in: Physical review. D 2017-03, Vol.95 (5), p.056002, Article 056002
• Main Authors: Choi, Ho-Meoyng, Ji, Chueng-Ryong
• Format: Article
• Language: English
• Subjects: Amplitudes; Broken symmetry; Computation; Mathematical analysis; Mathematical models; Mesons; Numerical analysis; Quark models; Quarks; Symmetry; Wave functions
• ISSN: 2470-0010; 2470-0029
• DOI: 10.1103/PhysRevD.95.056002

We investigate the two-particle twist-3 distribution amplitudes (DAs) of the pseudoscalar mesons, in particular pseudoscalar [ϕ3;MP(x)] and pseudotensor [ϕ3;Mσ(x)] DAs of the pion and kaon, in the light-front quark model based on the variational principle. We find that the behavior of the conformal symmetry in each meson distribution amplitude depends on the chiral-limit characteristics of the light-front trial wave function taken in the variational principle. We specifically take the two different light-front trial wave functions, Gaussian vs power-law type, and discuss their characteristics of the conformal symmetry in the chiral symmetry limit as well as their resulting degree of the conformal symmetry breaking in ϕ3;MP(x) and ϕ3;Mσ(x) depending on the trial wave function taken in the computation. We present numerical results of transverse moments, Gegenbauer moments and ξ-moments and compare them with other available model estimates. The SU(3) flavor-symmetry breaking effect is also quantified with the numerical computation.