2007
DOI: 10.1016/j.nuclphysb.2007.05.033
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Statistics of neutrinos and the double beta decay

Abstract: We assume that the Pauli exclusion principle is violated for neutrinos, and thus, neutrinos obey at least partly the Bose-Einstein statistics. The parameter sin 2 χ is introduced that characterizes the bosonic (symmetric) fraction of the neutrino wave function. Consequences of the violation of the exclusion principle for the twoneutrino double beta decays (2νββ-decays) are considered. This violation strongly changes the rates of the decays and modifies the energy and angular distributions of the emitted electr… Show more

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Cited by 53 publications
(68 citation statements)
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“…Possible violation of spin statistics and the cosmological constraints on it were also explored [19,20].…”
Section: Deviations From Fermi-dirac Distributionmentioning
confidence: 99%
“…Possible violation of spin statistics and the cosmological constraints on it were also explored [19,20].…”
Section: Deviations From Fermi-dirac Distributionmentioning
confidence: 99%
“…A change of neutrino statistics would have an impact on the evolution of supernovae and on the spectra of supernova neutrinos. The Pauli principle violation for neutrinos can be tested in the 2νββ-decay [4,5].…”
Section: The Violation Of Pauli Exclusion Principle For Neutrinosmentioning
confidence: 99%
“…For the 2νββ-decay of 76 Ge and 100 M o results of numerical calculations of the total rates and various distributions were presented in [5].…”
Section: Introductionmentioning
confidence: 99%
“…This is the case, for instance, of neutral leptons such as neutrinos. However, contrary to the case of electrons and nucleons, a possible violation of the Pauli exclusion principle for neutrinos is not yet experimentally excluded, although it affects elementary processes which involve identical neutrinos, such as double beta decay [6,7]. Such a violation was discussed in a series of theoretical papers, although no satisfactory model has been proposed so far (more discussion in [6] and references therein).…”
Section: Introductionmentioning
confidence: 99%