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 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.
Bound state structure and electromagnetic form factor beyond the ladder approximation / Gigante, V.; Alvarenga Nogueira, J. H.; Ydrefors, E.; Gutierrez, C.; Karmanov, V. A.; Frederico, T.. - In: PHYSICAL REVIEW D. - ISSN 2470-0010. - 95:5(2017), p. 056012-1. [10.1103/PhysRevD.95.056012]
Bound state structure and electromagnetic form factor beyond the ladder approximation
Alvarenga Nogueira, J. H.;
2017
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 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.File | Dimensione | Formato | |
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