Supernova neutrino oscillations: Adiabaticity improvement by Majoron fields

Abstract

If the lepton numbers are associated with global symmetries spontaneously broken at a scale below 1 TeV, neutrino oscillations in supernovae produce classic Majoron fields that perturb the neutrino propagation itself and may change the oscillation patterns in the periods of largest $ν$ fluxes. The impact of the Majoron fields on the same transitions as $ν_{e}\to ν_{X}$ that presumably occur in the Sun is studied in the case of the non-adiabatic MSW solution. It is shown how the back reaction of the Majoron fields may improve the adiabaticity of these oscillations in a supernova environment which has implications on the outgoing $ν_{e}$ spectrum.