For a magnetar with a toroidal magnetic field confined to its crust, the paper derives the Zeeman-split magneto-elastic oscillation spectrum and gives simple formulas and fit constants for frequencies across stellar masses.
Powerful flares and magneto-elastic oscillations of magnetars
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abstract
Magnetars are neutron stars with superstrong magnetic fields which can exceed 1e15 G. Some magnetars (the so-called soft gamma-repeaters) demonstrate occasionally very powerful processes of energy release, which result in exceptionally strong flares of electromagnetic radiation. It is believed that these flares are associated with the presence of superstrong magnetic fields. Despite many hypotheses, the mechanism of these flares remains a mystery. In afterglows of the flares, one has often observed quasi-periodic oscillations (QPOs) of magnetar emission. They are interpreted as stellar vibrations, excited by the flares, which are useful for exploring the nature of magnetar activity. The incompleteness of theories employed to interpret magnetar QPOs is discussed.
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Zeeman effect in oscillations of magnetars with toroidal magnetic fields
For a magnetar with a toroidal magnetic field confined to its crust, the paper derives the Zeeman-split magneto-elastic oscillation spectrum and gives simple formulas and fit constants for frequencies across stellar masses.