Bound state structure and electromagnetic form factor beyond the ladder approximation
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 represe...
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| Veröffentlicht in: | Physical review. D 2017-03, Vol.95 (5), p.056012, Article 056012 |
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| container_title | Physical review. D |
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| creator | Gigante, V. Nogueira, J. H. Alvarenga Ydrefors, E. Gutierrez, C. Karmanov, V. A. Frederico, T. |
| description | 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. |
| doi_str_mv | 10.1103/PhysRevD.95.056012 |
| format | Article |
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H. Alvarenga ; Ydrefors, E. ; Gutierrez, C. ; Karmanov, V. A. ; Frederico, T.</creator><creatorcontrib>Gigante, V. ; Nogueira, J. H. Alvarenga ; Ydrefors, E. ; Gutierrez, C. ; Karmanov, V. A. ; Frederico, T.</creatorcontrib><description>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.</description><identifier>ISSN: 2470-0010</identifier><identifier>EISSN: 2470-0029</identifier><identifier>DOI: 10.1103/PhysRevD.95.056012</identifier><language>eng</language><publisher>College Park: American Physical Society</publisher><subject>Asymptotic properties ; Bethe-Salpeter equation ; Form factors</subject><ispartof>Physical review. 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| language | eng |
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| source | American Physical Society Journals |
| subjects | Asymptotic properties Bethe-Salpeter equation Form factors |
| title | Bound state structure and electromagnetic form factor beyond the ladder approximation |
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