Resolving LSND anomaly by neutrino diffraction

Abstract

In the charged pion decay, a neutrino is produced in pair with a charged lepton and they have the same production rate. In this paper we show that neutrinos have their own space-time correlations in a wide area and are detected in a different manner from charged leptons, owing to extremely small mass. The neutrino flux reveals a unique interference effect in the form of diffraction of non-stationary waves. The diffraction component of the flux shows a slow position-dependence and leads to an electron neutrino at short base-line regions. The electron neutrino flux at short distances is attributed to the neutrino diffraction and the one at long distances is to the normal flavor oscillation. The former depends upon the average mass-squared $\bar m^2_\nu$ and the latter depends upon the mass-squared difference $\delta m^2_\nu$. The LSND and the two neutrino experiment (TWN) measure $\bar m^2_\nu$ and the other experiments measure $\delta m^2_\nu$. Hence they are consistent with each other. The neutrino diffraction would supply valuable information on the absolute neutrino mass.