Abstract
The quantum resonances of an atom possessing a single valence electron which shows hyperfine interaction with the nucleus is investigated in the presence of a three-dimensional magnetic quadrupole field. Particular emphasis is put on the study of the interplay of the hyperfine and quadrupole forces. By analyzing the underlying Hamiltonian, a variety of symmetries are revealed, which give rise to a twofold degeneracy of the resonance energies. Our numerical approach employs the complex scaling method and a Sturmian basis set. Several regimes and classes of short- and long-lived resonances are identified. The energies and decay widths of the resonances are characterized by their electronic and nuclear spin properties.
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