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What is the wavelength of the most energetic photon that can be emitted from a muonic atom with Z = 1?

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Muon is a particle that has the mass of mμ=1.883×1028 kgm_\mu=1.883\times10^{-28}\ \text{kg} and has the charge of e-e so that it can be bound with a proton to produce the muonic atom with Z=1Z=1. All of the differences between this atom and the orinary "electronic" atom arise from the fact that the two have the different mass. Comparing the masses we see that

mμ=ηme,m_\mu=\eta m_\text{e},

where

η=1.883×10289.109×1031=206.72.\eta=\frac{1.883\times10^{-28}}{9.109\times10^{-31}}=206.72.

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