= 2.[25pt] Neutrino oscillations Two flavor eigenstates [ve) and lvu) of a neutrino are related to mass eigenstates (vi)

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2 25pt Neutrino Oscillations Two Flavor Eigenstates Ve And Lvu Of A Neutrino Are Related To Mass Eigenstates Vi 1 (56.75 KiB) Viewed 33 times

= 2.[25pt] Neutrino oscillations Two flavor eigenstates [ve) and lvu) of a neutrino are related to mass eigenstates (vi) and (vz) of a neutrino with mass m, and m2 as follows |ve) = cos 0|v)- sin 0|v2) LY) = sin 0|v.)+cos @|v ) Consider a neutrino, which is initially at time t=0 in the flavor eigenstate [Ve). Calculate the probability that it still appears as |v) at some later time t. Express your answer in terms of O, m, mą, the speed of light C, the nominal neutrino energy E, and ħ. = 2