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GTMDs, orbital angular momentum, and pretzelosity

Brean Maynard and Peter Schweitzer

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Phys. Rev. D 114, 076007 – Published 5 October, 2026

DOI: https://doi.org/10.1103/b6kc-fg77

Abstract

The leading generalized transverse momentum dependent parton distributions (GTMDs) are studied in the bag model. The model description is shown to be theoretically consistent. The orbital angular momentum is studied in terms of the GTMD F1,4q and Ji sum rule. Analytical proofs of the associated sum rules are given. A deeper relationship between orbital angular momentum and the pretzelosity TMD is established in this model. Numerical results for quark GTMDs are given in dependence of all five variables for all values of x and ξ.

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Phys. Rev. D 114, 076007– Published 5 October, 2026
  • Received 13 May 2026
  • Revised 11 August 2026
  • Accepted 15 September 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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