Skewed generalized parton distributions of proton from basis light-front quantization

Skewed generalized parton distributions of proton from basis light-front quantization

March 12, 2024 | Yiping Liu, Siqi Xu, Chandan Mondal, Xingbo Zhao, James P. Vary
The paper investigates the generalized parton distributions (GPDs) of the proton at nonzero skewness within the basis light-front quantization (BLFQ) framework. The authors use a light-front wave function derived from a light-front quantized Hamiltonian, which includes a three-dimensional confinement potential and a one-gluon exchange interaction. They find that the qualitative behaviors of the GPDs are similar to those obtained from other theoretical calculations. The GPDs are examined in the boost-invariant longitudinal coordinate, identified as the Fourier conjugate of the skewness, and exhibit diffraction patterns, similar to diffractive scattering in optics. The study provides insights into the spatial distributions, spin, and orbital motion of quarks inside the proton, which are crucial for understanding exclusive scattering processes such as deeply virtual Compton scattering (DVCS) and timelike Compton scattering (TCS). The results are consistent with other theoretical approaches and highlight the importance of skewed GPDs in experimental studies at upcoming facilities like the Electron-Ion Collider (EIC) and the Large Hadron-Electron Collider (LHeC).The paper investigates the generalized parton distributions (GPDs) of the proton at nonzero skewness within the basis light-front quantization (BLFQ) framework. The authors use a light-front wave function derived from a light-front quantized Hamiltonian, which includes a three-dimensional confinement potential and a one-gluon exchange interaction. They find that the qualitative behaviors of the GPDs are similar to those obtained from other theoretical calculations. The GPDs are examined in the boost-invariant longitudinal coordinate, identified as the Fourier conjugate of the skewness, and exhibit diffraction patterns, similar to diffractive scattering in optics. The study provides insights into the spatial distributions, spin, and orbital motion of quarks inside the proton, which are crucial for understanding exclusive scattering processes such as deeply virtual Compton scattering (DVCS) and timelike Compton scattering (TCS). The results are consistent with other theoretical approaches and highlight the importance of skewed GPDs in experimental studies at upcoming facilities like the Electron-Ion Collider (EIC) and the Large Hadron-Electron Collider (LHeC).
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[slides and audio] Skewed generalized parton distributions of proton from basis light-front quantization