Open AccessBethe-Salpeter approach to three-body bound states with zero-range interaction
Author(s) -
E. Ydrefors,
J. H. Alvarenga Nogueira,
V. A. Karmanov,
T. Frederico
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1291/1/012013
Subject(s) - bethe–salpeter equation , scalar (mathematics) , bethe ansatz , propagator , zero (linguistics) , amplitude , mathematical physics , minkowski space , boson , physics , euclidean space , range (aeronautics) , quantum electrodynamics , gravitational singularity , quantum mechanics , mathematics , bound state , mathematical analysis , quantum , geometry , linguistics , philosophy , materials science , composite material
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.