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Exploring skewed parton distributions with two body models on the light front II: covariant Bethe-Salpeter approach

B. C. Tiburzi·G. A. Miller
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Abstract

We explore skewed parton distributions for two-body, light-front wave functions. In order to access all kinematical regimes, 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 non-valence regimes. We derive our expressions by assuming the effective qq potential is independent of the mass squared, and verify the sum rule in a non-relativistic 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 time-like form factors and find similar expressions for the related generalized distribution amplitudes.

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B. C. Tiburzi, G. A. Miller. 2001-11-30. Exploring skewed parton distributions with two body models on the light front II: covariant Bethe-Salpeter approach. https://doi.org/10.1103/physrevd.65.074009

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