Quark angular momentum in a spectator model

Abstract

We investigate the quark angular momentum in a model with the nucleon being a quark and a spectator. Both scalar and axial-vector spectators are included. We perform the calculations in the light-cone formalism where the parton concept is well defined. We calculate the quark helicity and canonical orbital angular momentum. Then we calculate the gravitational form factors which are often related to the kinetic angular momentums, and find that even in a no gauge field model we cannot identify the canonical angular momentums with half the sum of gravitational form factors. In addition, we examine the model relation between the orbital angular momentum and pretzelosity, and find it is violated in the axial-vector case.

6 pages, final version to appear in PLB

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Cited by in corpus (4)

• The Parton Orbital Angular Momentum: Status and Prospects
• Where do we stand with a 3-D picture of the proton?
• Weighted $\sin \left(3{\varphi }_h-{\varphi }_S\right)$ asymmetry from pretzelosity in SIDIS at electron ion colliders
• Relations between generalized parton distributions and transverse momentum dependent parton distributions