Is the Spin of the Black Hole in GX 339–4 Negative?

Andrzej A. Zdziarski, Srimanta Banerjee, Michał Szanecki, Ranjeev Misra and Gulab Dewangan
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Abstract

We have studied the accreting black hole binary GX 339–4 using two highly accurate broadband X-ray data sets in very soft spectral states from simultaneous NICER and NuSTAR observations. Joint fitting of both data sets with relativistic models of the disk and its Comptonization and reflection allows us to relatively accurately determine the black hole mass, spin, distance, and inclination. However, we find that the measured values strongly depend on the used disk model. With widely used Kerr disk models treating departures from local blackbody spectra using color corrections, we find relatively low black hole masses and strongly negative spins (i.e., retrograde accretion). Then, models employing radiative transfer calculations of the disk atmosphere predict moderately positive spins and high masses. When adding a warm corona above the disk (as proposed before for both active galactic nuclei and accreting binaries), we find that the spin is weakly constrained but consistent with zero. In all cases, the fitted inclination is low, ≈30°–34°. For the spin axis aligned with the binary axis, the mass function for this source implies large values of the mass, consistent only with those obtained with either disk-atmosphere models or the presence of a warm corona. We also test different disk models for an assumed set of mass, distance, and inclination. We find that different models yield values of the spin parameter differing by up to ∼0.3. Our results confirm previously found strong model dependencies of the measured black hole spin, now by comparing different disk models and for a low-mass X-ray binary.
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GX 339-4黑洞的自旋是负的吗?
我们利用两个高精度的宽带x射线数据集研究了吸积黑洞双星GX 339-4,这些数据集同时来自NICER和NuSTAR观测,处于非常软的光谱状态。将这两个数据集与黑洞盘的相对论模型及其合成和反射相结合,使我们能够相对准确地确定黑洞的质量、自旋、距离和倾角。然而,我们发现测量值强烈依赖于所使用的磁盘模型。利用广泛使用的克尔盘模型,利用颜色校正处理与局部黑体光谱的偏离,我们发现相对较低的黑洞质量和强烈的负自旋(即逆行吸积)。然后,利用圆盘大气辐射传输计算的模型预测了中等正自旋和高质量。当在圆盘上方增加一个温暖的日冕(就像之前对活动星系核和吸积双星提出的那样)时,我们发现自旋受到弱约束,但与零保持一致。在所有情况下,拟合的倾角都很低,≈30°-34°。对于与双星轴对齐的自旋轴,该源的质量函数意味着质量值很大,只有与盘-大气模型或温暖日冕的存在相一致。我们还针对假设的质量、距离和倾角测试了不同的圆盘模型。我们发现不同的模型产生的自旋参数值相差高达0.3。我们的研究结果证实了之前发现的黑洞自旋的模型依赖性,现在通过比较不同的磁盘模型和低质量x射线双星。
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