Light-cone distribution amplitudes of the nucleon and $\Delta$ baryon

TL;DR

This paper derives the light-cone distribution amplitudes for nucleons and $$ baryons using the chiral quark-soliton model, emphasizing the importance of five-quark components and relativistic effects, with results aligning with lattice data.

Contribution

It introduces a method to calculate baryon distribution amplitudes incorporating five-quark states and relativistic corrections within the chiral quark-soliton framework.

Findings

Distribution amplitudes agree with lattice data.

Five-quark components are essential for accurate amplitudes.

Relativistic corrections significantly impact results.

Abstract

We investigate the light-cone wave functions and leading-twist distribution amplitudes for the nucleon and $\Delta$ baryon within the framework of the chiral quark-soliton model. The baryon wave function consists of the valence quark and vacuum wave functions. The vacuum wave functions generate all possible higher Fock states by expanding them. We find that it is essential to consider the five-quark component and relativistic corrections to evaluate the distribution amplitudes of the nucleon and $\Delta$ isobar. Having taken into account them, we derive the distribution amplitudes. The results are in good agreement with the lattice data.