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In section 4 of this paper I show that the observed neutrinos -
in the massless limit -
are definitely of Weyl and not Majorana type.
This conclusion only holds under the
following two, widely used, assumptions:
A.the standard model
quantitatively describes the weak
interactions of the neutrino to good approximation
B. standard quantum field theory applies
to good approximation for the description
of the neutrino field
As discussed in section 5
my conclusion holds also
if Weyl neutrinos have finite Majorana masses.
This is why the present manuscript's
claim is not as far reaching as it might first sound: all
of the lepton-number violating phenomena connected with
massive Majorana neutrinos,
such as neutrino-less double beta decay and all
Majorana mass related small-mass
generating mechanisms proposed for them (such as the see-saw
mechanism) remain viable for a Weyl neutrino with a Majorana mass
term. On the other hand
- because the term ``Majorana neutrino'' is precisely mathematically
defined (section 2)
- the manuscript's conclusion is nontrivial
(it solves a longstanding question of neutrino
physics) and potentially important in the development of new theories.
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Rainer Plaga
2001-08-03