1. Muonic atom: A muonic atom consists of a μ-meson (a "heavy electron" of mass mμ) bound
to a positive nucleus. For a nucleus with a small charge (as in muonic hydrogen) the muon orbits
outside the nucleus. However, if the nucleus has a sufficiently large positive charge the muon
actually orbits inside the nucleus! Inside the nucleus the muon feels a nuclear force rather than
the Coulomb force. Assume the nuclear force can be described by
F = –D r , where r is the radius of the muon orbit and D is a constant (note that this is a generalized "spring" force). The force is directed along the radius (i.e. Use the Bohr quantization rule for angular momentum to show that the energy levels for the allowed orbits are given by En = nh(D/mμ )1/ 2.
2. more to come
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