Quark spin-orbit correlations in the pion meson in light-cone quark model

Abstract

We study the correlation between the quark spin and orbital angular momentum inside the pion meson. Similar to the case inside the nucleon, the longitudinal spin-orbit correlation $C_z^{q/\pi }$ in pion meson can be expressed in terms of the corresponding generalized parton distributions (GPDs) and generalized transverse momentum distributions (GTMDs). This provides new information about the spin structure of the pion. Using the wavefunctions of the pion in the light-cone quark model and the overlap representation for GPDs and GTMDs, we present the analytical results for the quark longitudinal spin-orbit correlation. We find that the GPD approach and the GTMD approach lead to the same results. The numerical results is also obtained, showing that the correlation in pion is anti-aligned. In addition, we compare $C_z^{q/\pi }$ from the GPD approach and the GTMD approach, with $x$ and the transverse momentum $k_T$ unintegrated.

arXiv comment9 pages, two figures, version accepted by PRD

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Cited by in corpus (4)

• Relativistic composite-particle theory of the gravitational form factors of pion: quantitative results
• Quark spin-orbit correlations in spin-0 and spin-1 mesons using the light-front quark model
• Spin-orbit correlation and spatial distributions for spin-0 hadrons
• Pion gravitational form factors at large momentum transfer in the instant-form relativistic impulse approximation approach