Mixed states for neutral current neutrino oscillation

The theory of neutrino oscillation predicts that if both and antineutrino coming from $Z_0$ decay are detected, one can observe an pattern between the corresponding detectors. This prediction is based on two properties; neutrino-antineutrino pairs produced coherently they detected with definite flavor in In this paper, we reanalyze problem by considering some massive neutrinos which mixed light but either participate incoherently or decoupled production detection processes. fact, whose masses larger than upper bound mass uncertainty to be compatible coherence conditions (we will see it about 1 keV) must treated incoherently. Very heavy much energy process decoupled. Under these conditions, created state as well states mixed. We cannot observed for incoherent standard recovered ignored Moreover, since performed blindly respect flavors, oscillating contributions event rates independent width.