Incurable Adler relation for soft neutrino interactions

Incurable Adler relation for soft neutrino interactions

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 nontrivi...

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Bibliographic Details
Published in:EPJ Web of conferences Vol. 70; pp. 12 - 1-00012-8
Main Authors: Kopeliovicha, B.Z., Potashnikova, I.K., Schmidt, Iván, Siddikov, M.
Format: Journal Article
Language:English
Published: EDP Sciences 01-01-2014
Subjects:
Absorptivity
Breakdown
Coherence
Diffraction
Dominance
Fluctuation
Neutrinos
Pions
Online Access:Get full text
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Summary: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.
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ISSN:2100-014X
2100-014X
DOI:10.1051/epjconf/20147000012