Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2008-09-22
Eur.Phys.J.A39:53-60,2009
Physics
High Energy Physics
High Energy Physics - Phenomenology
8 pages, 7 figures, to be published in Eur. Phys. J. A; Reference [15] is added
Scientific paper
10.1140/epja/i2008-10690-6
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.
Carbonell Jaime
Karmanov V. A.
Mangin-Brinet Mariane
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