h1T⊥ and quark orbital angular momentum

We calculate the pretzelosity distribution (h(1T)(perpendicular to)), which is one of the eight leading twist transverse momentum dependent parton distributions (TMDs), in the light-cone formalism. We find that this quantity has a simple relation with the quark orbital angular momentum distribution, thus it may provide a new possibility to access the quark orbital angular momentum inside the nucleon. The pretzelosity distribution can manifest itself through the sin(3 phi(h)-phi(S)) asymmetry in semi-inclusive deep inelastic scattering process. We calculate the sin(3 phi(h)-phi(S)) asymmetry at HERMES, COMPASS, and JLab kinematics and present our prediction on different targets including the proton, deuteron, and neutron targets. Inclusion of transverse momentum cut in data analysis could significantly enhance the sin(3 phi(h)-phi(S)) asymmetry for future measurements.