Quark Angular Momentum Distribution in the Transverse Plane

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Date/Time:Friday, 25 Apr 2014 from 4:10 pm to 5:00 pm
Location:B51 Physics
Channel:Nuclear Physics
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Lekha Adhikari, New Mexico State University, Los Cruces, NM

Fourier transforms of Generalized Parton Distributions (GPDs) describe the distribution of partons in the transverse plane. The 2nd moment of GPDs have been identified by X. Ji with the angular momentum (orbital plus spin) carried by the quarks - a fundamental result that is being widely utilized in the spin decomposition of a longitudinally polarized nucleon. However, I show that, despite the above results, the Fourier transform of the 2nd moment of GPDs does not describe the distribution of angular momentum in the transverse plane for a longitudinally polarized target. Furthermore, two other possibilities to relate the t-dependence of GPDs to the distribution of angular momentum in the transverse plane are discussed. None of them turns out to correctly describe the orbital angular momentum distribution that one would identify for a longitudinally polarized nucleon