Atomic hyperfine resonances in a magnetic quadrupole field

TL;DR

This paper investigates atomic hyperfine resonances in a magnetic quadrupole field, revealing symmetry-induced degeneracies and classifying resonance types based on spin properties using complex scaling and Sturmian basis methods.

Contribution

It introduces a detailed analysis of hyperfine and quadrupole interactions in atomic resonances, highlighting symmetry effects and resonance classifications.

Findings

Symmetry causes two-fold degeneracy of resonance energies.

Identification of various regimes of short-lived and long-lived resonances.

Resonance energies and decay widths depend on electronic and nuclear spins.

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. Analyzing the underlying Hamiltonian a variety of symmetries are revealed which give rise to a two-fold degeneracy of the resonance energies. Our numerical approach employs the complex scaling method and a Sturmian basis set. Several regimes and classes of short-lived and long-lived resonances are identified. The energies and decay widths of the resonances are characterized by their electronic and nuclear spin properties.