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.
Cite
@article{arxiv.1611.03773,
title = {Bound state structure and electromagnetic form factor beyond the ladder approximation},
author = {V. Gigante and J. H. Alvarenga Nogueira and E. Ydrefors and C. Gutierrez and V. A. Karmanov and T. Frederico},
journal= {arXiv preprint arXiv:1611.03773},
year = {2017}
}
Comments
19 pages, 6 figures, submitted to Phys. Lett. B