Constituent Quark Rest Energy and Wave Function Across the Light Cone

TL;DR

This paper investigates the rest energy and wave function of constituent quarks within nucleons, showing that spin-orbit interactions lower the quark rest energy to about 100 MeV, aligning with DIS sum rules.

Contribution

It introduces a self-consistent model for constituent quarks that accounts for spin-orbit effects and discusses potential violations of spectral conditions on the light-cone.

Findings

Quark rest energy reduced to ~100 MeV by spin-orbit interaction

Agreement with deep inelastic scattering momentum sum rule

Discussion of spectral condition violations for bound quarks

Abstract

It is shown that for a constituent quark in the intra-nucleon self-consistent field the spin-orbit interaction lowers the quark rest energy to values $\sim100$ MeV, which agrees with the DIS momentum sum rule. The possibility of violation of the spectral condition for the light-cone momentum component of a bound quark is discussed.