2002/12/18 by B. C. Tiburzi, Brian C. Tiburzi, Gerald A. Miller +1 · 5 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph #nucl-th
paper · pdf · doi:10.1103/physrevd.67.113004
published as Phys.Rev. D67 (2003) 113004 · 10 pages, 7 figures, RevTex4, reference added, typos corrected
arxiv created 2002/12/18 · openalex publication_date 2003/06/12 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We consider two simple covariant models for pions (one with scalar and the other with spin-(1)/(2) constituents). Pion generalized parton distributions are derived by integration over the light-cone energy. The model distributions are consistent with all known properties of generalized parton distributions, including positivity. We also construct corresponding double distributions by appealing to the Lorentz invariance of the form factor. These ostensibly constructed double distributions lead to incorrect generalized parton distributions that need not respect the positivity constraints. This inconsistency arises from the ambiguity inherent in defining double distributions in the standard one-component formalism (even in the absence of the Polyakov-Weiss term). We demonstrate that the correct model double distributions can be calculated from nondiagonal matrix elements of twist-two operators.