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#
The non-equivalence of Weyl and Majorana neutrinos with standard-model
gauge interactions

**R.Plaga**^{1}

**Max-Planck-Institut für Physik (Werner-Heisenberg-Institut)**

**Föhringer Ring 6**

**D-80805 München, Germany**
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Abstract:

It is shown that a Majorana neutrino with identical phenomenology as a
standard-model Weyl neutrino obeys a Lagrangian different by a factor
in the weak-interaction term from the one that follows from the standard
model. Assuming that the standard model *does* hold in good approximation
for the weak interactions of a Majorana neutrino e.g. a charged-current
production cross section a factor 2 larger than the observed one is predicted.
From this it is concluded that the neutrino is not of Majorana type. This
conclusion does *not* forbid the possible existence of a Weyl neutrino
with a Majorana mass term and ensuing lepton-number violating phenomena
(like e.g. neutrino-less double beta decay). The paper is not in contradiction
with any published literature, because it analyses the formal proof of
equivalence between Weyl and Majorana neutrino for the first time under
the assumption that the standard model is *quantitatively* correct
for the weak interactions of the neutrino.

**Next:**Introduction
Rainer Plaga 2001-08-03