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Empirical formula of crustal torsional oscillations
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Crustal torsional oscillations depend on not only crust properties but also the stellar mass and radius. Thus, one could extract stellar information by identifying the observed frequencies of stellar oscillations with the crustal torsional oscillations. Owing to the confinement of torsional oscillations inside the crust region of neutron stars, we successfully derive an empirical formula for the fundamental crustal torsional oscillations as a function of the stellar mass, radius, the so-called slope parameter of the nuclear symmetry energy, and the angular index of oscillations, with which one can estimate the frequencies with high accuracy. This empirical formula could be valuable in both the astrophysics and nuclear physics communities.
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Cited by 1 Pith paper
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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.
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