X-ray Perspective of the Twisted Magnetospheres of Magnetars

TL;DR

This paper develops a 3D twisted magnetosphere model for magnetars, fitting X-ray spectra to measure magnetic fields and magnetospheric configurations, revealing highly twisted magnetospheres and their evolution during outbursts.

Contribution

It introduces a self-consistent 3D magnetosphere model and a tabular spectral fitting tool applied to magnetar data, enabling robust magnetic field measurements.

Findings

Model fits nearly all observed spectra.

Magnetic field measurements agree with spin-down estimates.

Highly twisted magnetospheres are common in magnetars.

Abstract

Anomalous X-ray pulsars (AXPs) and soft gamma-ray repeaters (SGRs) are recognized as the most promising magnetar candidates, as indicated by their energetic bursts and rapid spin-downs. It is expected that the strong magnetic field leaves distinctive imprints on the emergent radiation both by affecting the radiative processes in atmospheres of magnetars and by scattering in the upper magnetospheres. We construct a self-consistent physical model that incorporates emission from the magnetar surface and its reprocessing in the three-dimensional (3D) twisted magnetosphere using a Monte Carlo technique. The synthetic spectra are characterized by four parameters: surface temperature kT, surface magnetic field strength $B$, magnetospheric twist angle $\Delta\phi$, and the normalized electron velocity $\beta$. We also create a tabular model (STEMS3D) and apply it to a large sample of XMM-Newton spectra of magnetars. The model successfully fits nearly all spectra, and the obtained magnetic field for 7 out of the 11 sources are consistent with the values inferred from the spin-down rates. We conclude that the continuum-fitting by our model is a robust method to measure the magnetic field strength and magnetospheric configuration of AXPs and SGRs. Investigating the multiple observations of variable sources, we also study the mechanism of their spectral evolution. Our results suggest that the magnetospheres in these sources are highly twisted ($\Delta\phi > 1$), and the behavior of magnetospheric twisting and untwisting is revealed in the 2002 outburst of 1E 2259+586.