Spin-orbit correlation and spatial distributions for spin-0 hadrons

Abstract

The spin-orbit correlation in spin-0 hadrons can be investigated through the kinetic energy-momentum tensor form factor ${\tilde{F}}^q(t)$. We observe that the latter is also related to a torque about the radial direction, which we interpret as a chiral stress. If we neglect the quark mass contribution, then ${\tilde{F}}^q(t)$ is simply proportional to the electromagnetic form factor for spin-0 hadrons, and the spin-orbit correlation is equal to minus half of the valence quark number. Given the extensive studies on the electromagnetic form factor for spin-0 hadrons such as pions, kaons, and the $\alpha$ particle, we present the spatial distributions of chiral stress and kinetic spin-orbit correlation based on current parametrizations of the pion electromagnetic form factor.

6 pages, 3 figures

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