2001/09/30 by B. C. Tiburzi, Brian C. Tiburzi, Gerald A. Miller +1 · 42 citations
Mathematics · Physics and Astronomy · #Amplitude #Bethe–Salpeter equation #Bound state #Covariant transformation #Distribution function #Feynman diagram #Graph #High-Energy Particle Collisions Research #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Parton #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Quark #Statistical physics #Vertex (graph theory) #Wave function #hep-ph #nucl-ex #nucl-th
paper · pdf · doi:10.1103/physrevd.65.074009
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 65(7) (American Physical Society) · 25 pages, 12 figures, revised (minor changes but essential to consistency)
arxiv created 2001/11/30 · openalex publication_date 2002/03/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We explore skewed parton distributions for two-body, light-front wave functions. In order to access all kinematical r'egimes, we adopt a covariant Bethe-Salpeter approach, which makes use of the underlying equation of motion (here the Weinberg equation) and its Green's function. Such an approach allows for the consistent treatment of the non-wave-function vertex (but rules out the case of phenomenological wave functions derived from ad hoc potentials). Our investigation centers around checking internal consistency by demonstrating time-reversal invariance and continuity between valence and nonvalence r'egimes. We derive our expressions by assuming the effective qq potential is independent of the mass squared, and verify the sum rule in a nonrelativistic approximation in which the potential is energy independent. We consider bare-coupling as well as interacting skewed parton distributions and develop approximations for the Green's function which preserve the general properties of these distributions. Lastly, we apply our approach to timelike form factors and find similar expressions for the related generalized distribution amplitudes.