Muonium Decay

Details Muonium Decay Muonium Decay

1999-08-23

arxiv.org/abs/hep-ph/9908439v3

Phys.Rev. D61 (2000) 073001

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, revtex

Scientific paper

10.1103/PhysRevD.61.073001

Modifications of the mu+ lifetime in matter due to muonium (M = mu+ e-) formation and other medium effects are examined. Muonium and free mu+ decay spectra are found to differ at O(alpha m_e/m_mu) from Doppler broadening and O(alpha^2 m_e/m_mu) from the Coulomb bound state potential. However, both types of corrections are shown to cancel in the total decay rate due to Lorentz and gauge invariance respectively, leaving a very small time dilation lifetime difference, (tau_M - tau_mu+)/tau_mu+ = alpha^2 m_e^2/ 2m_mu^2 \simeq 6\times 10^-10, as the dominant bound state effect. It is argued that other medium effects on the stopped mu+ lifetime are similarly suppressed.

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