Electromagnetic form factor via Bethe-Salpeter amplitude in Minkowski space

Abstract

For a relativistic system of two scalar particles, we find the Bethe-Salpeter amplitude in Minkowski space and use it to compute the electromagnetic form factor. The comparison with Euclidean space calculation shows that the Wick rotation in the form factor integral induces errors which increase with the momentum transfer Q^2. At JLab domain (Q^2=10 GeV^2/c^2), they are about 30%. Static approximation results in an additional and more significant error. On the contrary, the form factor calculated in light-front dynamics is almost indistinguishable from the Minkowski space one.

8 pages, 7 figures, to be published in Eur. Phys. J. A; Reference [15] is added

References in corpus (5)

• QCD modeling of hadron physics
• Solving Bethe-Salpeter equation in Minkowski space
• Cross-ladder effects in Bethe-Salpeter and Light-Front equations
• Bethe-Salpeter equation in Minkowski space with cross-ladder kernel
• Bethe-Salpeter equation with cross-ladder kernel in Minkowski and Euclidean spaces

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