Quark Orbital Angular Momentum in the MIT Bag Model
arXiv:1611.03375 · doi:10.1103/PhysRevD.95.014027
Abstract
We present the results for the Generalized Transverse Momentum Distribution related to quark Orbital Angular Momentum, {\it i.e.} , in the MIT bag model. This model has been modified to include the Peierls--Yoccoz projection to restore translational invariance. Such a modification allows to fulfill more satisfactorily basic sum rules, that would otherwise be less elegantly carried out with the original version. Using the same model, we have calculated the twist- GPD that corresponds to Orbital Angular Momentum à la Ji, through the Penttinen--Polyakov--Shuvaev--Strikman sum rule. Recently, a new relation between the two definitions of the quark Orbital Angular Momentum at the density level has been proposed, which we illustrate here within the model. The sum rule is fulfilled. Still within the framework of the MIT bag model, we analyze the Wandzura--Wilczek expression for the GPD of interest. The genuine quark-gluon contribution is evaluated directly thanks to the equation of motion of the bag, which allows for a direct control of the kinematical contributions to the twist-3 GPD.
14 pages, 10 figures
References in corpus (26)
- Gauge-Invariant Decomposition of Nucleon Spin and Its Spin-Off
- Theory of deeply virtual Compton scattering on the nucleon
- The angular momentum controversy: What's it all about and does it matter?
- Generalized parton correlation functions for a spin-1/2 hadron
- Quark Wigner Distributions and Orbital Angular Momentum
- A Study of Off-Forward Parton Distributions
- The quark orbital angular momentum from Wigner distributions and light-cone wave functions
- The transverse momentum dependent distribution functions in the bag model
- Proton Spin Structure from Measurable Parton Distributions
- Twist-three effects in two-photon processes
- Sivers Function in the MIT Bag Model
- Flexible Parametrization of Generalized Parton Distributions from Deeply Virtual Compton Scattering Observables
- DVCS amplitude in the parton model
- Is gauge-invariant complete decomposition of the nucleon spin possible ?
- Parton Orbital Angular Momentum and Final State Interactions
- Wilson lines and orbital angular momentum
- Twist-2 Generalized TMDs and the Spin/Orbital Structure of the Nucleon
- Double Parton Correlations in the Bag Model
- Quark Wigner Distributions and Orbital Angular Momentum in Light-front Dressed Quark Model
- Measurement of Dijet Production at Low Q^2 at HERA
- Proper definition and evolution of generalized transverse momentum distributions
- Model calculations of the Sivers function satisfying the Burkardt Sum Rule
- On the Observability of the Quark Orbital Angular Momentum Distribution
- Parton Transverse Momentum and Orbital Angular Momentum Distributions
- Analyzing the Boer-Mulders function within different quark models
- A Quark Model Analysis of Orbital Angular Momentum