We present an analysis of generalized parton distribution (GPD) \(\tilde{H}_{2T}^{\nu }\) of the proton with non-zero skewness, using the light-front quark-diquark model (LFQDM). This study investigates the role of skewness in shaping the proton’s internal structure, focusing on the unintegrated quark-quark GPD correlator with the Dirac matrix structure \(\varGamma = \gamma ^j\) . By systematically solving this correlator and aligning our results with the standard parameterization equations, we derive explicit expressions for the GPD \(\tilde{H}_{2T}^{\nu }\) . These findings may provide insights relevant to experimental studies of Compton form factors, which manifest in scattering cross sections, and highlight the potential of the LFQDM framework in advancing our understanding of three-dimensional hadron structure.

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Investigating Skewness Effects in Proton GPD \(\tilde{H}_{2T}^{\nu }\) Using LFQDM

  • Shubham Sharma,
  • Sameer Jain,
  • Harleen Dahiya

摘要

We present an analysis of generalized parton distribution (GPD) \(\tilde{H}_{2T}^{\nu }\) of the proton with non-zero skewness, using the light-front quark-diquark model (LFQDM). This study investigates the role of skewness in shaping the proton’s internal structure, focusing on the unintegrated quark-quark GPD correlator with the Dirac matrix structure \(\varGamma = \gamma ^j\) . By systematically solving this correlator and aligning our results with the standard parameterization equations, we derive explicit expressions for the GPD \(\tilde{H}_{2T}^{\nu }\) . These findings may provide insights relevant to experimental studies of Compton form factors, which manifest in scattering cross sections, and highlight the potential of the LFQDM framework in advancing our understanding of three-dimensional hadron structure.