Quark Spin Properties at High x
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 . It is shown if {1/4}, then both and , as well as quark spin distribution , will approach 1 as 1 in polarized deep inelastic scattering. The spin distribution does not approach 1, but is bound by the limits for any .
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