English

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

High Energy Physics - Phenomenology 2014-02-10 v1 Strongly Correlated Electrons Nuclear Theory

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.

Keywords

Cite

@article{arxiv.1402.1656,
  title  = {Solutions of the Bethe-Salpeter Equation in Minkowski space: a comparative study},
  author = {Giovanni Salme` and Tobias Frederico and Michele Viviani},
  journal= {arXiv preprint arXiv:1402.1656},
  year   = {2014}
}

Comments

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