Parton transverse momentum and orbital angular momentum distributions

Rajan, Abha; Courtoy, Aurore; Engelhardt, Michael; Liuti, Simonetta

doi:10.1103/physrevd.94.034041

Cited by 46 publications

(58 citation statements)

References 37 publications

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“…[31] that the transverse index of the Dirac structure must be contracted by ∆ i T . The same result was found in [11] through the EoMs. That dependence suggests that the genuine twist-3 diverges at the limit of zero momentum transfer.…”

supporting

confidence: 86%

Quark orbital angular momentum in the MIT bag model

Courtoy

Miramontes

2017

Phys. Rev. D

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We present the results for the Generalized Transverse Momentum Distribution related to quark Orbital Angular Momentum, i.e. F14, 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-3 GPD that corresponds to Orbital Angular Momentumà 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.

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supporting

confidence: 86%

Quark orbital angular momentum in the MIT bag model

Courtoy

Miramontes

2017

Phys. Rev. D

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“…This information is encoded in generalized transverse momentum-dependent parton distributions (GTMDs) [3][4][5]. Compared to standard TMDs, which parametrize forward matrix elements of an appropriate bilocal quark operator, GTMDs include, in addition, a momentum transfer.…”

Section: Introductionmentioning

confidence: 99%

Quark orbital dynamics in the nucleon - from Ji to Jaffe-Manohar orbital angular momentum

Engelhardt¹

2016

Proceedings of 34th Annual International Symposium on Lattice Field Theory — PoS(LATTICE2016)

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Quark orbital angular momentum (OAM) in the nucleon can be evaluated directly by constructing the simultaneous distribution of parton transverse position and momentum in a rapidly propagating nucleon, and using it to perform the appropriate average over these parton characteristics. The aforementioned distribution can be accessed via a generalization of the nucleon matrix elements of quark bilocal operators which have been used previously in the lattice evaluation of transverse momentum dependent parton distributions (TMDs). By supplementing these matrix elements with a nonzero momentum transfer, mixed transverse position and momentum information is generated. In the quark bilocal operators, a gauge connection between the quarks must be specified; a staple-shaped gauge link path, as used in TMD calculations, yields Jaffe-Manohar OAM, whereas a straight path yields Ji OAM. A lattice calculation at a pion mass of 518 MeV is presented which demonstrates that the difference between Ji and Jaffe-Manohar OAM can be clearly resolved. The obtained Ji OAM is confronted with the traditional evaluation utilizing Ji's sum rule. Jaffe-Manohar OAM is enhanced in magnitude compared to Ji OAM. 34th annual International Symposium on Lattice Field Theory

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“…This representation of OAM also allows for an intuitive interpretation of the difference between L JM and L Ji [16]. Moreover, it gives access to the so far elusive L JM in quantum chromodynamics (QCD) on the lattice [12,17,18].…”

Section: Introductionmentioning

confidence: 99%

Observables for Generalized TMDs of Quarks

Bhattacharya¹,

Metz²,

Zhou³

2018

Proceedings of QCD Evolution 2017 — PoS(QCDEV2017)

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Generalized TMDs (GTMDs) of hadrons are the most general two-parton correlation functions. Upon certain projections, several GTMDs reduce to generalized parton distributions (GPDs) and transverse momentum dependent parton distributions (TMDs), respectively. Therefore, GTMDs can be considered as partonic "mother functions". Moreover, two of the GTMDs play an important role in the nucleon spin structure. We show that, by means of the exclusive double Drell-Yan process, GTMDs for quarks can in principle be measured. This is the first known process which is sensitive to these objects. Specific GTMDs can be addressed via suitable polarization observables. We also identify other processes that are directly sensitive to GTMDs.

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Parton transverse momentum and orbital angular momentum distributions

Cited by 46 publications

References 37 publications

Quark orbital angular momentum in the MIT bag model

Quark orbital angular momentum in the MIT bag model

Quark orbital dynamics in the nucleon - from Ji to Jaffe-Manohar orbital angular momentum

Observables for Generalized TMDs of Quarks

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