Transverse Force on Quarks in DIS

TL;DR

This paper explores the connection between the moments of certain twist-3 parton distributions and the transverse force experienced by quarks in deep-inelastic scattering, providing insights into quark dynamics within polarized nucleons.

Contribution

It establishes a theoretical link between the $x^2$-moments of twist-3 distributions and the transverse force on quarks, advancing understanding of quark-nucleon interactions.

Findings

Relation between $g_2(x)$ moments and transverse force on quarks

Connection of $e(x)$ moments to force on polarized quarks

Enhanced understanding of quark dynamics in polarized nucleons

Abstract

The interaction dependent part of the $x^2$-moment of the twist-3 polarized parton distribution $g_2(x)$ is related to the transverse force acting on the active quark in deep-inelastic scattering off a transversely polarized nucleon immediately after it has absorbed the virtual photon. Similarly, the $x^2$-moment of the chirally odd twist-3 unpolarized parton distribution $e(x)$ can be related to the transverse force experienced by a transversely polarized quark ejected from a transversely polarized nucleon.