Solutions of the Bethe-Salpeter equation in Minkowski space and applications to electromagnetic form factors

Abstract

We present a new method for solving the two-body Bethe-Salpeter equation in Minkowski space. It is based on the Nakanishi integral representation of the Bethe-Salpeter amplitude and on subsequent projection of the equation on the light-front plane. The method is valid for any kernel given by the irreducible Feynman graphs and for systems of spinless particles or fermions. The Bethe-Salpeter amplitudes in Minkowski space are obtained. The electromagnetic form factors are computed and compared to the Euclidean results.

20 pages, 14 figures, contribution to proceedings of the workshop: "Relativistic Description of Two- and Three-Body Systems in Nuclear Physics", ECT*, October 19-23, 2009. To be published in Few-Body Systems

References in corpus (4)

• Vector meson form factors and their quark-mass dependence
• Solving Bethe-Salpeter equation for two fermions in Minkowski space
• Two-Fermion Bound States within the Bethe-Salpeter Approach
• Electromagnetic form factor via Minkowski and Euclidean Bethe-Salpeter amplitudes

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