| Full text | |
| Author(s): |
Total Authors: 4
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| Affiliation: | [1] DCTA, Inst Tecnol Aeronaut, BR-12228900 Sao Jose Dos Campos - Brazil
[2] Univ Roma La Sapienza, Ist Nazl Fis Nucl, Dipartimento Fis, Sez Roma, Piazzale A Moro 5, I-00187 Rome - Italy
[3] North Carolina State Univ, Dept Phys, Raleigh, NC 27695 - USA
Total Affiliations: 3
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| Document type: | Journal article |
| Source: | Physics Letters B; v. 777, p. 207-211, FEB 10 2018. |
| Web of Science Citations: | 2 |
| Abstract | |
We study the suppression of non-planar diagrams in a scalar QCD model of a meson system in 3 + 1 space-time dimensions due to the inclusion of the color degrees of freedom. As a prototype of the color-singlet meson, we consider a flavor-nonsinglet system consisting of a scalar-quark and a scalar-antiquark with equal masses exchanging a scalar-gluon of a different mass, which is investigated within the framework of the homogeneous Bethe-Salpeter equation. The equation is solved by using the Nakanishi representation for the manifestly covariant bound-state amplitude and its light-front projection. The resulting non-singular integral equation is solved numerically. The damping of the impact of the cross-ladder kernel on the binding energies are studied in detail. The color-suppression of the cross-ladder effects on the light-front wave function and the elastic electromagnetic form factor are also discussed. As our results show, the suppression appears significantly large for N-c = 3, which supports the use of rainbow-ladder truncations in practical non-perturbative calculations within QCD. (c) 2017 The Authors. Published by Elsevier B.V. (AU) | |
| FAPESP's process: | 16/25143-7 - Relativistic two and three-body problems in Minkowski space in (2+1) and (3+1) dimensions |
| Grantee: | Emanuel Arthur Ydrefors |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| 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) |
| FAPESP's process: | 17/05660-0 - Theoretical studies of the structure and reactions of exotic nuclei and many-body systems |
| Grantee: | Brett Vern Carlson |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 17/14695-1 - Exploring the hadron structure through the Bethe-Salpeter Equation in Minkowski space |
| Grantee: | Jorge Henrique de Alvarenga Nogueira |
| Support Opportunities: | Scholarships abroad - Research Internship - Doctorate (Direct) |