Abstract
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.
Highlights
In 1964 Stephen Adler derived the eminent relation [1] between the cross sections of forward neutrinoto-lepton scattering and pion cross section on the same hadronic target with the same final hadronic state
The underlying dynamics of such a link is unknown, as well as the mechanism of chiral symmetry breaking. It is based on the phenomenon of partial conservation of axial current (PCAC)
We demonstrate here that strong absorptive corrections on nuclear targets cause a dramatic suppression of diffractive neutrino-production of pions compared with the expectations based on the Adler relation (AR)
Summary
In 1964 Stephen Adler derived the eminent relation [1] between the cross sections of forward neutrinoto-lepton scattering and pion cross section on the same hadronic target with the same final hadronic state. The underlying dynamics of such a link is unknown, as well as the mechanism of chiral symmetry breaking. It is based on the phenomenon of partial conservation of axial current (PCAC). QμAμ = qμ [q(k ) γ5γμ τ q(k)] = 0, where qμ = kμ − kμ The pole behavior here shows presence of a massless Goldstone particle [5] This proves the Goldstone theorem: spontaneous breaking of chiral symmetry generates massless particles identified with pions
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
