1. Three-body bound states with zero-range interaction in the Bethe-Salpeter approach
- Author
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Ydrefors, E., Nogueira, J. H. Alvarenga, Gigante, V., Frederico, T., and Karmanov, V. A.
- Subjects
Nuclear Theory ,High Energy Physics - Phenomenology - 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: ({\it i}) For weak enough two-body interaction the three-body system is unbound. ({\it ii}) For stronger two-body interaction a three-body bound state appears. It provides an interesting example of a deeply bound Borromean system. ({\it 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., Comment: 13 pages, 7 figures
- Published
- 2017
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