FAMILY STRUCTURE OF LEPTONS AND THEIR CURRENTS

FIZIKA B 16 (2007)  1, 1 - 16

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FAMILY STRUCTURE OF LEPTONS AND THEIR CURRENTS OF AN AXIAL-VECTOR NATURE

RASULKHOZHA S. SHARAFIDDINOV

Institute of Nuclear Physics, Uzbekistan Academy of Sciences, Tashkent, 702132 Ulugbek, Uzbekistan

Received 2 August 2006;  Revised manuscript received 3 January 2007
Accepted 21 February 2007   Online 22 May 2007

All neutrinos have a non-zero mass and regardless of whether a neutrino is of the Dirac or Majorana type, it can possess both anapole and electric dipole moments. Between the corresponding form factors there appears a connection, for example, for neutrino scattering on spinless nuclei. We discuss a theory in which a mass consists of vector and axial-vector components responsible for separation of leptonic current into the vector and axial-vector parts of the same charge or dipole moment. Such a model can explain the absence of truly neutral neutrino vector interactions and the availability of an axial-vector structure of a Majorana mass. Thereby, it relates the two neutrinos of different nature. We derive an equation which relates the masses to a ratio of the anapole and electric dipole form factors of any charged lepton and its neutrino as a consequence of their unification in families of doublets and singlets. This testifies in favour of the existence of the left (right) dileptons and paradileptons of the axial-vector currents. Each of them answers to conservation of an axial-vector charge and any lepton flavour. Therefore, an axial-vector mass, anapole and electric dipole moment of the neutrino become proportional, respectively, to an axial-vector mass, anapole and electric dipole moment of a particle of the same family.

PACS numbers: 14.60.Pq, 14.60.St, 13.15.+g
UDC 539.123, 539.124

Keywords: neutrino mass, anapole and electric dipole moments, vector and axial-vector components, Dirac and Majorana mass, left (right) dileptons and paradileptons

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