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arXiv · 1109.1230

New relation between transverse angular momentum and generalized parton distributions

Elliot Leader
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Abstract

I derive a rigorous relation between the expectation value of the transverse component of the angular momentum of a quark in a transversely polarized nucleon in terms of the Generalized Parton Distributions H and E, namely = 1/2M [P_0 \int dx x E_q(x,0,0) + M \int dx x H_q(x,0,0)] where P_0 is the energy of the nucleon and where "quark" implies the sum of quark and antiquark of a given flavor. A similar relation holds for gluons. The result is remarkably similar to Ji's relation for the case of longitudinal polarization. In this revised version, I have rectified some misleading statements, introduced a more precise notation and specified mpre clearly the meaning of the terms in both the Ji and the new tranverse relation.

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Elliot Leader. 2011-11-04. New relation between transverse angular momentum and generalized parton distributions. https://doi.org/10.1103/physrevd.85.051501

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