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How High is High x?

Jerrold Franklin
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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 $x$. It is shown that, if a spin up quark dominates as $x$$\to$1 for a spin up proton, it must be a u quark. Then both $A_{1p}$ and $A_{1n}$, as well as the quark spin distribution $Δu/u$, will approach 1 as $x$$\to$1. The spin distribution $Δd/d$ does not approach 1, but is bound by the limits $-{1/3}\leΔd/d\le 0$ for any $x$. The ratio {$F_{1n}/F_{1p}$ will approach 1/4} (not3/7).

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Jerrold Franklin. 2004-11-22. How High is High x?. https://doi.org/10.1063/1.1871646

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