Abstract
The interaction of a heavy muonic atom with an external magetic field is modeled by a quantized oscillator with spin-orbit coupling. Perturbation solutions are obtained which cover the full range of weak- , intermediate- , strong- , and ultrastrong-field cases depending on the relative values of the parameters characterizing the Coulombic, spin-orbit, and magnetic interactions. The effect of symmetry on the choice of a complete set of commuting observables with which to define a basis is discussed; the strong-field diamagnetic interaction is used as a example to demonstrate that the determination of level separations and degeneracies is independent of the choice of basis. The model is applied to the heavy muonic atom 238U to ascertain whether the splitting of degenerate states by an external magnetic field is experimentally observable.
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