ON THE SPIN CORRELATIONS OF MUONS AND TAU LEPTONS GENERATED IN THE ANNIHILATION PROCESSES e+e- → μ+μ-, e+e- → τ+τ-

摘要

Using the technique of helicity amplitudes, the electromagnetic process e~(+)e~(-) → μ~(+)μ~(-)(τ~(+)τ~(-)) is theoretically studied in the one-photon approximation. The structure of the triplet states of the final (μ~(+)μ~(-)) system is analyzed. It is shown that in the case of unpolarized electron and positron the final muons are also unpolarized, but their spins are strongly correlated. Explicit expressions for the components of the correlation tensor of the (μ~(+)μ~(-)) system are derived. The formula for the angular correlation at the decays of final muons μ~(+) and μ~(-) is obtained. It is demonstrated that spin correlations of muons in the considered process have the purely quantum character, since one of the Bell-type incoherence inequalities for the correlation tensor components is always violated.