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GR0877 Problem 66

PROBLEM STATEMENT: This problem is still being typed.

SOLUTION: (D) To account for the fact that the nucleus has non-infinite mass and moves around atom’s CM one must replace the electron mass (muon mass for the muonic atom) with the reduced mass $\mu$. Noting that Rydberg $R$ is proportional to $\mu$ we conclude that if we replace electron $m_e$ with the muon $m_{\mu}$ the $R$ is changed by the factor of $\displaystyle \frac{\mu_{muon}}{\mu_{electron}} = \frac{m_p m_{\mu}}{m_p + m_{\mu}} \frac{m_p + m_e}{m_p m_e}$.

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