Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2008-03-19
Acta Phys.Polon.B40:123-152,2009
Physics
High Energy Physics
High Energy Physics - Phenomenology
29 pages, 8 figures. Version published in Acta Physica Polonica B. Section devoted to semi-local model was erased
Scientific paper
We apply the non-local chiral quark model to study vector and axial pion-to-photon transition amplitudes that are needed as a nonperturbative input to estimate the cross section of pion annihilation into the real and virtual photon. We use a simple form of the non-locality that allows to perform all calculations in the Minkowski space and guaranties polynomiality of the TDA's. We note only residual dependence on the precise form of the cut-off function, however vector TDA that is symmetric in skewedness parameter in the local quark model is no longer symmetric in the non-local case. We calculate also the transition form-factors and compare them with existing experimental parametrizations.
Kotko Piotr
Praszalowicz Michal
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