Superluminal self-interacting neutrino

TL;DR

This paper proposes that nonlinear self-interactions in the neutrino's Dirac equation can account for superluminal velocities observed in experiments, deriving specific energy spectra and identifying interaction types that can or cannot produce such effects.

Contribution

It introduces a nonlinear Dirac equation model with specific self-interaction terms that explain superluminal neutrino velocities, providing a theoretical framework for these observations.

Findings

Nonlinear self-interaction can produce superluminal neutrino velocities.

Derived energy spectrum E=p+Cp^a matches experimental data.

Scalar interactions do not account for superluminal speeds.

Abstract

The effect of nonlinear self-interaction can be associated with superluminal velocity of neutrino. The power energy spectrum E=p+Cp^a is derived from the nonlinear Dirac equation when interaction term V=\lambda (\psi \gamma_\mu \psi \psi \gamma^\mu \psi)^a is added to the Lagrangian of a free spin-1/2 particle. The superluminal velocity recorded by the OPERA and MINOS collaborations is achieved when the coupling constants are taken in the range a=0.4-1.18 and \lambda =-(0.5-1.6)x10^-4. The self-interaction Lagrangian V=\lambda (\psi \gamma_\mu \psi \psi \gamma ^\mu \psi) with the coupling constant \lambda =-(0.7-0.9)x10^-4 yields the same result. Scalar interaction V=\lambda (\psi \psi)^b and scalar-vector interaction \lambda(\psi^{+}\psi)^{b+1}/(\psi \psi)^b cannot be responsible for the observed superluminal neutrino.