Two-mixing texture for three active neutrinos
Abstract
The conjecture that among three massive neutrinos there is no direct mixing between and leads to a two-mixing texture for three active neutrinos . This texture, much discussed previously, is neatly consistent with the observed deficits of solar 's and atmospheric 's, but (without extra mixing with at least one sterile neutrino ) predicts no LSND effect for accelerator 's. In this option, the masses are readily estimated. The characteristic feature of the two-mixing neutrino texture that {\it only the close neighbours in the hierarchy of massive neutrinos mix significantly} may be physically meaningful. Going out from the notion of mixing matrix we construct an intrinsic occupation-number operator whose {\it eigenvalues} 0, 1, 2 {\it numerate the three generations of massive neutrinos}. Analogical constructions work also for charged leptons as well as for up and down quarks.
Cite
@article{arxiv.hep-ph/0007255,
title = {Two-mixing texture for three active neutrinos},
author = {W. Krolikowski},
journal= {arXiv preprint arXiv:hep-ph/0007255},
year = {2007}
}
Comments
9 pages, no figures