Black hole spin measurements in LMC X-1 and Cyg X-1 are highly model-dependent

TL;DR

This study examines how different modeling assumptions significantly influence black hole spin measurements in X-ray binaries, revealing that spin estimates are highly model-dependent and uncertain.

Contribution

The paper introduces improved models for disk and coronal physics, demonstrating their impact on black hole spin measurements from high-quality X-ray data.

Findings

Standard models yield high spin values ($a_*>0.9$)

Modified models with surface layer dissipation reduce estimated spin

Spin measurements are highly sensitive to disk structure assumptions

Abstract

The black-hole spin parameter, $a_*$, was measured to be close to its maximum value of 1 in many accreting X-ray binaries. In particular, $a_*\gtrsim 0.9$ was found in a number of studies of LMC X-1. These measurements were claimed to take into account both statistical and systematic uncertainties. We perform new measurements using a recent simultaneous observation by NICER and NuSTAR, providing a data set of high quality. We use the disk continuum method together with improved models for coronal Comptonization. With the standard relativistic disk model and optically thin Comptonization, we obtain values of $a_*$ similar to those obtained before. We then consider modifications to the standard model. Using a color correction of 2, we find $a_*\approx 0.64$--0.84. We then consider disks with dissipation in surface layers. To account for that, we assume the standard disk is covered by a warm and optically thick Comptonizing layer. Our model with the lowest $\chi^2$ yields then $a_*\approx 0.40^{+0.41}_{-0.32}$. In order to test the presence of such effects in other sources, we also study an X-ray observation of Cyg X-1 by Suzaku in the soft state. We confirm the previous findings of $a_*>0.99$ using the standard model, but then we find a weakly constrained $a_*\approx 0.82^{+0.16}_{-0.74}$ when including an optically thick Comptonizing layer. We conclude that determinations of the spin using the continuum method can be highly sensitive to the assumptions about the disk structure.