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.