Neutrino statistics and non-standard commutation relations
arXiv:hep-ph/0510209 · doi:10.1016/j.physleta.2006.05.083
Abstract
Recently it was suggested that the neutrino may violate the Pauli exclusion Principle (PEP). This renews interest in the systematic search for bilinear commutation relations that could describe deviations from PEP. In the context of this search we prove a no-go theorem which forbids a finite occupancy limit for an arbitrary system with a bilinear commutation relation. In other words, either the upper limit on the occupancy number is 1 (the ordinary fermionic case) or there is no upper limit at all. Some examples of the latter class include the usual Bose statistics, as well as non-standard quon statistics and infinite statistics.
11 pages, RevTeX4
References in corpus (2)
Cited by in corpus (5)
- Probing Beyond the Standard Model Physics with Double-beta Decays
- Possible violation of the spin-statistics relation for neutrinos: checking through future galactic supernova
- Fermi-Boltzmann statistics of neutrinos and relativistic effective degrees of freedom
- Two photon decay of Z' as a probe of Bose symmetry violation at the CERN LHC
- Relativistic effective degrees of freedom and quantum statistics of neutrinos