Recovering partial conservation of axial current in diffractive neutrino scattering
V. A. Novikov+*×, V. R. Zoller+
+Institute for Theoretical and Experimental Physics, 117218 Moscow, Russia
*Moscow Institute of Physics and Technology, 141700 Dolgoprudny, Russia
×Novosibirsk State University, 630090 Novosibirsk, Russia
Abstract
A model of diffractive neutrino scattering is formulated in terms of
the chiral hadronic current which is conserved in the limit of
vanishing pion mass.
This current has the correct singularity structure and, naturally,
does not lead to contradictions with a partial conservation of
the axial current (PCAC). In that respect we differ from earlier work
in the literature, where a breakdown of PCAC
had been reported. We show that such a breakdown of PCAC is an
artifact of the hadronic current non-conservation in the model
developed there.