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arXiv · 2404.18872

Twist analysis of the spin-orbit correlation in QCD

Yoshitaka Hatta·Jakob Schoenleber
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Abstract

We present a QCD analysis of the twist-three parton distribution functions associated with the spin-orbit correlation of quarks and gluons in spin-$\frac{1}{2}$ and spin-0 hadrons. We derive exact non-perturbative identities decomposing the spin-orbit correlations into the Wandzura-Wilczek part and the genuine twist-three part. In the spin-$\frac{1}{2}$ case, the result is partially related to the kinematical twist-three part of the $g_T(x)$ distribution familiar in the context of transverse spin physics. We use these identities to obtain a novel longitudinal momentum sum rule which may be regarded as the momentum version of the Jaffe-Manohar spin sum rule. We explore the physical interpretation of the sum rule and make a connection to the color Lorentz forces and their associated potential energies.

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Yoshitaka Hatta, Jakob Schoenleber. 2024-04-29. Twist analysis of the spin-orbit correlation in QCD. https://arxiv.org/abs/2404.18872

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