| Full text | |
| Author(s): |
Ydrefors, E.
;
Alvarenga Nogueira, J. H.
;
Gigante, V.
;
Frederico, T.
;
Karmanov, V. A.
Total Authors: 5
|
| Document type: | Journal article |
| Source: | Physics Letters B; v. 770, p. 131-137, JUL 10 2017. |
| Web of Science Citations: | 3 |
| Abstract | |
The Bethe-Salpeter equation for three bosons with zero-range interaction is solved for the first time. For comparison the light-front equation is also solved. The input is the two-body scattering length and the outputs are the three-body binding energies, Bethe-Salpeter amplitudes and light-front wave functions. Three different regimes are analyzed: (i) For weak enough two-body interaction the three-body system is unbound. (ii) For stronger two-body interaction a three-body bound state appears. It provides an interesting example of a deeply bound Borromean system. (iii) For even stronger two-body interaction this state becomes unphysical with a negative mass squared. However, another physical (excited) state appears, found previously in light-front calculations. The Bethe-Salpeter approach implicitly incorporates three-body forces of relativistic origin, which are attractive and increase the binding energy. (C) 2017 The Author(s). 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: | 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 |