On Possible Types of Majorana's Particles

Abstract

Equations for two types of leptons are obtained. These leptons are singlets, i.e. they have
not antiparticles. Either of the singlet equations is formed on the base of only one connected
component (out of four possible) of the Lorentz group. Therefore these equations are non
invariant under any discrete transformation such as space reflection, time reversal and their
product. These properties are the most essential difference with respect to another leptons.
Interactions with the singlet participation may be singled out for understanding a violation
of the P- and T-invariance on a microscopic level.