Light-front quark model consistent with Drell-Yan-West duality and quark counting rules

TL;DR

This paper introduces a phenomenological light-front wave function model for various hadrons that accurately reproduces known scaling behaviors and quark counting rules, providing a unified framework for analyzing hadronic structure.

Contribution

It proposes a new light-front wave function applicable to all hadron types, ensuring correct scaling and quark counting rule compliance, and develops a nucleon model based on it.

Findings

Wave function reproduces pion and nucleon form factors accurately.

Model aligns with Drell-Yan-West duality and quark counting rules.

Provides predictions for structure functions of various hadrons.

Abstract

We propose a phenomenological light-front wave function for hadrons with arbitrary twist-dimension (mesons, baryons and multiquark states), which gives the correct scaling behavior of structure functions (parton distributions) and form factors for pions and nucleons. For other hadronic states the proposed wave function produces form factors consistent with quark counting rules, and gives predictions for structure functions (parton distributions). As an application we build a light-front quark model for nucleons based on the proposed wave function.