Bound state structure and electromagnetic form factor beyond the ladder approximation

Abstract

We investigate the response of the bound state structure of a two-boson system, within a Yukawa model with a scalar boson exchange, to the inclusion of the cross-ladder contribution to the ladder kernel of the Bethe-Salpeter equation. The equation is solved by means of the Nakanishi integral representation and light-front projection. The valence light-front wave function and the elastic electromagnetic form factor beyond the impulse approximation, with the inclusion of the two-body current, generated by the cross-ladder kernel, are computed. The valence wave function and electromagnetic form factor, considering both ladder and ladder plus cross-ladder kernels, are studied in detail. Their asymptotic forms are found to be quite independent of the inclusion of the cross-ladder kernel, for a given binding energy. The asymptotic decrease of form factor agrees with the counting rules. This analysis can be generalized to fermionic systems, with a wide application in the study of the meson structure.

19 pages, 6 figures, submitted to Phys. Lett. B

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Cited by in corpus (8)

• Observing the Minkowskian dynamics of the pion on the null-plane
• Bound state equation for the Nakanishi weight function
• Three-body bound states with zero-range interaction in the Bethe-Salpeter approach
• Solving the Bethe-Salpeter Equation in Minkowski Space for a Fermion-Scalar system
• Color-suppression of non-planar diagrams in bosonic bound states
• Energy momentum tensor on and off the light cone: exposition with scalar Yukawa theory
• Equation for the Nakanishi weight function using the inverse Stieltjes transform
• Study of the homogeneous Bethe-Salpeter equation in the 2+1 Minkowski space