Bound states of the muon-antimuon system: Lifetimes and hyperfine splitting |
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| Authors: | S G Karshenboim V G Ivanov U D Jentschura G Soff |
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| Institution: | (1) D. I. Mendeleev All-Russian Metrological Scientific Research Institute, 198005 St. Petersburg, Russia;(2) Main Astronomical Observatory, Russian Academy of Sciences, 196140 Pulkovo, Leningrad Region, Russia;(3) Institut für Theoretische Physik, TU Dresden, 01062 Dresden, Germany |
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| Abstract: | We examine the properties of an atomic system consisting of a muon and antimuon. Expressions are derived for the probability
of decay and the hyperfine splitting of the lower levels with allowance for the leading radiative corrections, which are of
relative order α. The results for the lifetimes and the ground-state energy are τ(13
S
1)=1.7907(8)×10−12 s, τ(11
S
0)=0.59547(33)×10−12 s, and E
hfs (1s)=4.23284(35)×107 MHz. The relative probabilities for the various decay channels are calculated; in particular, for the 1 3
S
1 level it is found that Γ (μμ→eeγ)/Γ(μμ→ee)≈15%. Finally, possible applications are discussed.
Zh. éksp. Teor. Fiz. 113, 409–431 (February 1998) |
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