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Abstract: We discuss different parameterizations of the $C 5^Aq^2$ $N\Delta$ axialform factor, fitted to the old Argonne bubble chamber data for pion productionby neutrinos, and we use coherent pion production to test their low $q^2$behavior. We find moderate effects that will be difficult to observe with theaccuracy of present experiments. We also discuss the use of the Rein-Sehgalmodel for low energy coherent pion production. By comparison to a microscopiccalculation, we show the weaknesses of some of the approximations in that modelthat lead to very large cross sections as well as to the wrong shapes fordifferential ones. Finally we show that models based on the partialconservation of the axial current hypothesis are not fully reliable fordifferential cross sections that depend on the angle formed by the pion and theincident neutrino.



Autor: E. Hernández, J. Nieves, M. Valverde, M.J. Vicente-Vacas

Fuente: https://arxiv.org/







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