Abstract
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.
Highlights
Using the technique of helicity amplitudes, the electromagnetic process e+e− → μ+μ− (τ +τ −) is theoretically studied in the one-photon approximation
In the first non-vanishing approximation over the electromagnetic constant e2/ c, the process of conversion of the (e+e−) pair into the muon pair is described by the well-known one-photon Feynman diagram
Since the internal parities of muons μ+ and μ− are opposite, the (μ+μ−) pair is generated in the triplet states with J = 1 and the orbital angular momenta L = 0 and L = 2
Summary
Using the technique of helicity amplitudes, the electromagnetic process e+e− → μ+μ− (τ +τ −) is theoretically studied in the one-photon approximation. Since the internal parities of muons μ+ and μ− are opposite, the (μ+μ−) pair is generated in the triplet states (total spin S = 1) with J = 1 and the orbital angular momenta L = 0 and L = 2 .
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