Twist analysis of the spin-orbit correlation in QCD

Hatta, Yoshitaka; Schoenleber, Jakob

doi:10.1007/jhep09(2024)154

Title: Twist analysis of the spin-orbit correlation in QCD

Journal Article · 23 September 2024 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep09(2024)154 · OSTI ID:2452790

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Brookhaven National Laboratory (BNL), Upton, NY (United States). RIKEN Research Center

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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Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States)

Sponsoring Organization:: USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: SC0012704

OSTI ID:: 2452790

Report Number(s):: BNL-226202-2024-JAAM

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 9 Vol. 2024; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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