We present a QCD analysis of the twist-three parton distribution functions associated with the spin-orbit correlation of quarks and gluons in the nucleon. We derive a novel longitudinal momentum sum rule which may be regarded as the momentum version of the Jaffe-Manohar spin sum rule. The result is also applicable to spinless hadrons and nuclei with trivial modifications.
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Hatta et al. (2024) studied this question.
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