The Bethe-Salpeter equation for three scalar bosons, with zero-range interaction, is solved in Minkowski space by direct integration of the four-dimensional integral equation. The singularities occuring in the propagators are treated properly by standard analytical and numerical methods, without relying on any ansatz for the Bethe-Salpeter amplitude. The results for the binding energies and transverse amplitudes are compared with the results computed in Euclidean space. A fair agreement between the calculations is obtained.
Bethe-Salpeter approach to three-body bound states with zero-range interaction / Ydrefors, E.; Alvarenga Nogueira, J. H.; Karmanov, V. A.; Frederico, T.. - In: JOURNAL OF PHYSICS. CONFERENCE SERIES. - ISSN 1742-6596. - (2019).
Bethe-Salpeter approach to three-body bound states with zero-range interaction
J. H. Alvarenga Nogueira;
2019
Abstract
The Bethe-Salpeter equation for three scalar bosons, with zero-range interaction, is solved in Minkowski space by direct integration of the four-dimensional integral equation. The singularities occuring in the propagators are treated properly by standard analytical and numerical methods, without relying on any ansatz for the Bethe-Salpeter amplitude. The results for the binding energies and transverse amplitudes are compared with the results computed in Euclidean space. A fair agreement between the calculations is obtained.| File | Dimensione | Formato | |
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