Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2001-09-19
Phys.Rev. D65 (2002) 074009
Physics
High Energy Physics
High Energy Physics - Phenomenology
25 pages, 12 figures, revised (minor changes but essential to consistency)
Scientific paper
10.1103/PhysRevD.65.074009
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.
Miller Gary A.
Tiburzi Brian C.
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