On kHz oscillations and characteristic frequencies of accreting magnetospheres

TL;DR

This paper explores how higher multipole magnetic fields and associated frequencies in accreting magnetospheres can explain observed high-frequency oscillations in neutron stars and magnetars.

Contribution

It provides analytical expressions for higher characteristic frequencies arising from multipole magnetic fields and links them to observed kilohertz QPOs and SGR oscillations.

Findings

Higher multipole magnetic fields produce higher characteristic frequencies.

These frequencies can explain observed kilohertz QPOs in neutron stars.

The model accounts for high-frequency oscillations in SGRs.

Abstract

When an accreting star is close to rotational equilibrium between the dipole component of the stellar magnetic field and the accretion disk, the star's rotation rate is roughly of the order of the Keplerean rotation rate at the inner boundary of the disk, estimated as the conventional Alfven radius. A range of frequencies higher than this equilibrium rotation frequency can naturally arise if the accretion flow is channeled by higher multipoles of the star's magnetic field. The higher multipole components of the magnetic field will balance the material stresses of the accretion flow at radii closer to the star. The Kepler frequencies associated with these generalized Alfven radii increase with the order of the multipole. Other frequency bands, like the epicyclic frequencies associated with the accretion flow, may in turn be higher than the Kepler frequencies. We present expressions for the spectrum of higher frequencies arising due to these effects. Kilohertz quasi-periodic oscillation frequencies that are much higher than the rotation rate of the neutron star, as observed from the recently discovered 11 Hz (P = 90 ms) X-ray pulsar IGR J17480-2446 in the globular cluster Terzan 5, may be due to modulation of the accretion rate by the excitation of these modes in the accretion flow. The very high QPO frequencies observed from the soft gamma repeaters SGR 1806-20 (P = 5.2 s) and SGR 1900+14 (P = 7.5 s) may also correspond to these characteristic frequencies if SGRs accrete from fallback disks around them.