The Quark Orbital Angular Momentum in a Light-Cone Representation

Details The Quark Orbital Angular Momentum in a Light-Cone Representation The Quark Orbital Angular Momentum in a Light-Cone Representation

1998-08-02

arxiv.org/abs/hep-ph/9808202v1

Phys.Rev. D58 (1998) 096008

Physics

High Energy Physics

High Energy Physics - Phenomenology

20 latex pages, including an eps figure, to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.58.096008

We perform an analysis of the quark angular momentum in a light-cone representation by taking into account the effect due to the Melosh-Wigner rotation and find that there is a relativistic correction factor connecting the quark orbital angular momentum with the quark model spin distribution: $L_q(x)={}\Delta q_{QM}(x)$. The quark orbital angular momentum $L_q(x)$ and the quark helicity distribution $\Delta q(x)$ are connected to the quark model spin distribution $\Delta q_{QM}(x)$ by a relation: $\frac{1}{2}\Delta q(x)+ L_q(x)=\frac{1}{2}\Delta q_{QM}(x)$, which means that one can decompose the quark model spin contribution $\Delta q_{QM}(x)$ by a quark helicity term $\Delta q(x)$ {\it plus} an orbital angular momentum term $L_q(x)$. There is also a new relation connecting the quark orbital angular momentum with the measurable quark helicity distribution and transversity distribution ($\delta q(x)$): $\Delta q(x)+L_q(x)=\delta q(x)$, from which we may have new sum rules connecting the quark orbital angular momentum with the nucleon axial and tensor charges.

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