arXiv · 1202.0734
Light-Front projection of spin-1 electromagnetic current and zero-modes
Abstract
The issue of the contribution of zero-modes to the light-front projection of the electromagnetic current of phenomenological models of vector particles vertices is addressed in the Drell-Yan frame. Our analytical model of the Bethe-Salpeter amplitude of a spin-1 fermion-antifermion composite state gives a physically motivated light-front wave function symmetric by the exchange of the fermion and antifermion, as in the $\rho$-meson case. We found that among the four independent matrix elements of the plus component in the light-front helicity basis only the $0\to 0$ one carries zero mode contributions. Our derivation generalizes to symmetric models, important for applications, the above conclusion found for a simplified non-symmetrical form of the spin-1 Bethe-Salpeter amplitude with photon-fermion point-like coupling and also for a smeared fermion-photon vertex model.
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J. P. B. C. de Melo, T. Frederico. 2012-02-03. Light-Front projection of spin-1 electromagnetic current and zero-modes. https://doi.org/10.1016/j.physletb.2012.01.021
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