Distribution amplitudes of $\Sigma$ and $\Lambda$ and their electromagnetic form factors

TL;DR

This paper derives the light-cone distribution amplitudes for $\\Sigma$ and $\Lambda$ baryons using QCD conformal expansion, determines nonperturbative parameters via sum rules, and investigates their electromagnetic form factors and magnetic moments.

Contribution

It provides the first comprehensive set of distribution amplitudes for these baryons up to twist 6, including nonperturbative parameter determination and form factor analysis.

Findings

Fourteen independent DAs are needed for valence three-quark states.

Nonperturbative parameters are determined using QCD sum rules.

Electromagnetic form factors and magnetic moments are estimated.

Abstract

Based on QCD conformal partial wave expansion to leading order conformal spin accuracy, we present the light-cone distribution amplitudes (DAs) of $\Sigma$ and $\Lambda$ baryons up to twist 6. It is concluded that fourteen ndependent DAs are needed to describe the valence three-quark states of the baryons at small transverse separations. The nonperturbative parameters relevant to the DAs are determined within the framework of QCD sum rule method. With the obtained DAs, a simple investigation on the electromagnetic form factors of these baryons are given. The magnetic moments of the baryons are estimated by fitting the magnetic form factor with the dipole formula.