Solutions of the Bethe-Salpeter Equation in Minkowski space: a comparative study

Abstract

The Bethe-Salpeter Equation for a two-scalar, S-wave bound system, interacting through a massive scalar, is investigated within the ladder approximation. By assuming a Nakanishi integral representation of the Bethe-Salpeter amplitude, one can deduce new integral equations that can be solved and quantitatively studied, overcoming the analytic difficulties of the Minkowski space. Finally, it is shown that the Light-front distributions of the valence state, directly obtained from the Bethe-Salpeter amplitude, open an effective window for studying the two-body dynamics.

4 pages and 4 figures. To appear in Few-Body Systems

References in corpus (2)

• Quantitative studies of the homogeneous Bethe-Salpeter Equation in Minkowski space
• Projecting the Bethe-Salpeter Equation onto the Light-Front and back: A Short Review

Cited by in corpus (2)

• Revealing the structure of light pseudoscalar mesons at the Electron-Ion Collider
• Transition electromagnetic form factor and current conservation in the Bethe-Salpeter approach