Constructing Dirac linear fermions in terms of non-linear Heisenberg spinorsM. Novello
Institute of Cosmology, Relativity and Astrophysics ICRA/CBPF - Rua Dr. Xavier Sigaud 150, Urca 22290-180 Rio de Janeiro, RJ, Brazil
received 14 June 2007; accepted in final form 14 September 2007; published November 2007
published online 17 October 2007
We show that the massive (or massless) neutrinos can be described as special states of Heisenberg nonlinear spinors. As a by-product of this decomposition a particularly attractive consequence appears: the possibility of relating the existence of only three species of mass-less neutrinos to such internal non-linear structure. At the same time it allows the possibility that neutrino oscillation can occur even for massless neutrinos.
14.60.Pq - Neutrino mass and mixing.
© Europhysics Letters Association 2007