New relation between transverse angular momentum and generalized parton distributions

Details New relation between transverse angular momentum and generalized parton distributions New relation between transverse angular momentum and generalized parton distributions

2011-09-06

arxiv.org/abs/1109.1230v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

6 pages

Scientific paper

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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