arXiv:1402.1656·v1·High Energy Physics — Phenomenology
Solutions of the Bethe-Salpeter Equation in Minkowski space: a comparative study
Giovanni Salme` (INFN - Rome)🇮🇹 · Tobias Frederico (ITA - S. Jose' dos Campos)🇧🇷 · Michele Viviani (INFN - Pisa)🇮🇹
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.
Comments: 4 pages and 4 figures. To appear in Few-Body Systems