Parameter Limits for Neutrino Oscillation with Decoherence in KamLAND

Abstract

In the framework of quantum open systems we analyze data from KamLAND by using a model that considers neutrino oscillation in a three-family approximation with the inclusion of the decoherence effect. Using a ${\chi }^2$ test we find new limits for the decoherence parameter which we call $\gamma$, considering the most recent data by KamLAND. Assuming an energy dependence of the type $\gamma ={\gamma }_0{\left(E/E_0\right)}^n$, in 95 \% C.L. the limits found are $3.7\times 10^{-24}GeV$ for $n=-1$, $6.8\times 10^{-22}GeV$ for $n=0$, and $1.5\times 10^{-19}GeV$ for $n=1$ on the energy dependence.