Volume 80, Number 4, November 2007
|Number of page(s)||5|
|Section||The Physics of Elementary Particles and Fields|
|Published online||17 October 2007|
Constructing Dirac linear fermions in terms of non-linear Heisenberg spinors
Institute of Cosmology, Relativity and Astrophysics ICRA/CBPF - Rua Dr. Xavier Sigaud 150, Urca 22290-180 Rio de Janeiro, RJ, Brazil
Accepted: 14 September 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.
PACS: 14.60.Pq – Neutrino mass and mixing
© Europhysics Letters Association, 2007
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