Bound state structure and electromagnetic form factor beyond the ladder approximation

Author(s)

Gigante, V. ; Alvarenga Nogueira, J. H. ; Ydrefors, E. ; Gutierrez, C. ; Karmanov, V. A. ; Frederico, T.

• Document type: Journal article
• Source: PHYSICAL REVIEW D; v. 95, n. 5, p. 11-pg., 2017-03-10.

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. (AU)

• FAPESP's process: 15/22701-6 - Theory of relativistic few-body systems and its applications to hadrons and nuclei
• Grantee: Tobias Frederico
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• FAPESP's process: 14/19094-8 - Three-body heavy meson decay and CP violation
• Grantee: Jorge Henrique de Alvarenga Nogueira
• Support Opportunities: Scholarships in Brazil - Doctorate (Direct)