Twist-3 Distribution Amplitudes of Pion in the Light-Front Quark Model

TL;DR

This paper investigates the twist-3 distribution amplitudes of the pion using the Light-Front Quark Model, successfully matching theoretical constraints and asymptotic behaviors predicted by QCD.

Contribution

It provides a novel LFQM-based analysis of pion twist-3 distribution amplitudes that satisfy isospin symmetry and match QCD asymptotic forms.

Findings

Distribution amplitudes satisfy isospin symmetry constraints.

Results reproduce the asymptotic forms from QCD's conformal limit.

The model offers a consistent description of pion twist-3 DAs.

Abstract

We analyzed two twist-3 distribution amplitudes of pion, i.e. pseudoscalar $\phi^P_{3;\pi}(x)$ and pseudotensor $\phi^\sigma_{3;\pi}(x)$, within the LFQM. Our LFQM descriptions both for twist-3 $\phi^P_{3;\pi}$ and $\phi^\sigma_{3;\pi}$ not only satisfy the fundamental constraint required from the isospin symmetry, but also reproduce exactly the asymptotic forms anticipated from QCD's conformal limit.