Models for TMDs and numerical methods
B. Pasquini (Pavia U., INFN, Pavia), C. Lorce' (IPN, LPT,, Orsay)
TL;DR
This paper explores the relationship between quark orbital angular momentum and pretzelosity TMDs, emphasizing model assumptions and clarifying the interpretation of individual quark contributions within nucleon structure.
Contribution
It identifies the key role of spherical symmetry in quark models for the L–pretzelosity relation and clarifies the interpretation of quark orbital angular momentum contributions.
Findings
The L–pretzelosity relation depends on spherical symmetry assumptions.
Individual quark contributions include transverse center of momentum effects.
Total orbital angular momentum is free from the transverse center of momentum contribution.
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.
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Taxonomy
TopicsGeophysical and Geoelectrical Methods · Electromagnetic Simulation and Numerical Methods · Electromagnetic Scattering and Analysis