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arxiv: 0902.3718 · v2 · submitted 2009-02-21 · ✦ hep-ph · hep-ex

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Pretzelosity h_{1T}^{perp} and quark orbital angular momentum

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classification ✦ hep-ph hep-ex
keywords momentumangularasymmetrydistributionorbitalpretzelosityquarkcalculate
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We calculate the pretzelosity distribution ($h_{1T}^{\perp}$), which is one of the eight leading twist transverse momentum dependent parton distributions (TMDs), in the light-cone formalism. We find that this quantity has a simple relation with the quark orbital angular momentum distribution, thus it may provide a new possibility to access the quark orbital angular momentum inside the nucleon. The pretzelosity distribution can manifest itself through the $\sin(3\phi_h-\phi_S)$ asymmetry in semi-inclusive deep inelastic scattering process. We calculate the $\sin(3\phi_h-\phi_S)$ asymmetry at HERMES, COMPASS and JLab kinematics, and present our prediction on different targets including the proton, deuteron and neutron targets. Inclusion of transverse momentum cut in data analysis could significantly enhance the $\sin(3\phi_h-\phi_S)$ asymmetry for future measurements.

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  1. GTMDs, orbital angular momentum, and pretzelosity

    hep-ph 2026-05 unverdicted novelty 4.0

    In the bag model, GTMD calculations are consistent, orbital angular momentum is tied to F_{1,4}^q through the Ji sum rule, and a deeper link to pretzelosity TMD is established.