Pretzelosity TMD and Quark Orbital Angular Momentum
C. Lorce' (IPN, LPT, Orsay), B. Pasquini (Pavia U., INFN, Pavia)
TL;DR
This paper explores the theoretical link between quark orbital angular momentum and the pretzelosity TMD, emphasizing model assumptions and clarifying the interpretation of individual quark contributions.
Contribution
It identifies the conditions under which the pretzelosity TMD relates to quark orbital angular momentum and clarifies the interpretation of individual contributions within this framework.
Findings
The relation holds under spherical symmetry assumptions.
Individual quark contributions include transverse center of momentum effects.
Total orbital angular momentum remains unaffected by these effects.
Abstract
We study the connection between the quark orbital angular momentum and the pretzelosity transverse-momentum dependent parton distribution function. We discuss the origin of this relation in quark models, identifying as key ingredient for its validity the assumption of spherical symmetry for the nucleon in its rest frame. Finally we show that the individual quark contributions to the orbital angular momentum obtained from this relation can not be interpreted as the intrinsic contributions, but include the contribution from the transverse centre of momentum which cancels out only in the total orbital angular momentum.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.