English

Quark Spin Properties at High x

High Energy Physics - Phenomenology 2015-06-25 v3 High Energy Physics - Experiment Nuclear Experiment Nuclear Theory

Abstract

A general three quark bound state satisfying the Pauli principle, and conserving angular momentum and isospin, is used to investigate the spin structure of nucleons at high xx. It is shown if {F1n/F1pF_{1n}/F_{1p}\to1/4}, then both A1pA_{1p} and A1nA_{1n}, as well as quark spin distribution Δu/u\Delta u/u, will approach 1 as xx\to1 in polarized deep inelastic scattering. The spin distribution Δd/d\Delta d/d does not approach 1, but is bound by the limits 1/3Δd/d0-{1/3}\le\Delta d/d\le 0 for any xx.

Keywords

Cite

@article{arxiv.hep-ph/0310347,
  title  = {Quark Spin Properties at High x},
  author = {Jerrold Franklin},
  journal= {arXiv preprint arXiv:hep-ph/0310347},
  year   = {2015}
}

Comments

The quark function \phi(123) satisfies the constraint \phi(123)+\phi(213)=\phi(132)+\phi(231), which is less restrictive than the symmetry condition \phi(123)=\phi(132) originally stated. This means the constraint d\downarrow=u\uparrow does not hold at all x. (It still applies for x--> 1.) The main conclusions that \Delta u/u--> 1 as x--> 1, but -1/3<(Delta d/d)<0 still hold

R2 v1 2026-07-22T13:50:56.915Z