Incurable Adler relation for soft neutrino interactions
Departamento de Física, Universidad Técnica Federico Santa María, Centro de Estudios Subatómicos, and Centro Científico-Tecnolóogico de Valparaíso, Casilla 110-V, Valparaíso, Chile
Published online: 10 April 2014
The Adler relation (AR), which bridges soft interactions of neutrinos and pions, might look as a manifestation of pion dominance. However neutrino cannot fluctuate to a pion because of lepton current conservation, instead it interacts via much heavier hadronic components. This fact leads to nontrivial relations between interaction amplitudes of different hadronic species, in particular, it links diagonal and off-diagonal diffractive interactions of pions. Absorptive corrections break these relations making the AR impossible to hold universally, i.e. for any target and at any energy. We predict a dramatic breakdown of the AR for coherent neutrino-production of pions on nuclei at all energies.
© Owned by the authors, published by EDP Sciences, 2014
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