Direct $qqq$ Force In High Momentum Limit of QCD For Proton Physics

TL;DR

This paper constructs a proton wave function in high momentum QCD dominated by a direct three-quark force, revealing a new symmetric structure different from traditional models, with implications for understanding proton properties.

Contribution

It introduces a novel proton wave function model based on a direct $qqq$ force with $S_3$ symmetry, differing from traditional $56, 0^+$ and $70, 0^+$ configurations.

Findings

Proton wave function involves a mixture of $56, 0^+$ and $20, 1^+$ components.

The $qqq$ force is generated by a $Y$-shaped diagram connecting three ${ar q}gq$ vertices.

The symmetry considerations lead to a paradigm shift in proton structure modeling.

Abstract

An explicit construction of the proton wave function is outlined in the high momentum limit of QCD dominated by a direct $qqq$ force, one generated by hooking the ends of a $ggg$ vertex to 3 distinct ${\bar q}gq$ vertices, thus making up a $Y$-shaped diagram (see fig.1). The high degree of $S_3$ symmetry thus involved ensures that the $qqq$ wave function is a mixture of $56, 0^+$ and $20,1^+$ components, rather than the traditional $56, 0^+$ and $70, 0^+$ type. Some results of this paradigm shift are offered.