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arXiv 2406.09511astro-ph.HE
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超临界光度吸积磁性中子星回旋线变化的定量解释

A quantitative explanation of the cyclotron-line variation in accreting magnetic neutron stars of super-critical luminosity

Nick Loudas, Nikolaos D. Kylafis, Joachim E. Trümper

AI总结:

本文构建解析辐射激波模型,纳入偶极磁场、多普勒增强与引力红移,解释超临界吸积中子星回旋线能量随光度的弱反相关,并良好拟合V0332+53。

摘要:

磁性中子星(NS)通常在其X射线能谱中表现出回旋共振散射特征(CRSF)。回旋线被认为形成于吸积柱中的辐射激波处。高光度中子星表现出回旋线质心能量($E_{CRSF}$)与X射线光度($L_X$)之间平滑的反相关关系。观测到的$E_{CRSF}-L_X$平滑反相关一直与辐射激波模型理论预测的结果存在矛盾。由于不存在其他可能形成回旋线的候选位置,我们重新审视了辐射激波处回旋线能量随光度变化的预测速率,并更仔细地考察了其中涉及的物理过程。我们开发了一个纯解析模型,用于描述观测到的回旋能量质心对激波锋面高度的整体依赖关系,其中包括相对于激波参考系、上游吸积等离子体的轻度相对论性运动所导致的相对论增强效应,以及引力红移。我们发现,CRSF能量随以下因素变化:a)由偶极磁场导致的激波高度变化,b)激波参考系与整体运动参考系之间的多普勒增强,以及c)引力红移。我们表明,相对论效应显著削弱了预测的$E_{CRSF}-L_X$反相关关系。我们使用自己的模型拟合X射线源V0332+53的数据,并证明该模型对数据的拟合效果极佳,从而缓解了观测与理论之间的矛盾。超临界吸积区间中已报道的$E_{CRSF}-L_X$弱反相关,可由沿吸积柱的磁场强度变化、多普勒增强效应以及引力红移的共同作用来解释。因此,中子星表面的实际磁场可能比根据观测到的CRSF朴素推断出的值大约2倍。

英文摘要:

Magnetic neutron stars (NSs) often exhibit a cyclotron resonant scattering feature (CRSF) in their X-ray spectra. Cyclotron lines are believed to form in the radiative shock in the accretion column. High-luminosity NSs show a smooth anti-correlation between the cyclotron-line centroid ($E_{CRSF}$) and X-ray luminosity ($L_X$). The observed $E_{CRSF}-L_X$ smooth anti-correlation has been in tension with the theoretically predicted one by the radiative shock model. Since there is no other candidate site for the cyclotron-line formation, we re-examine the predicted rate of change of the cyclotron-line energy with luminosity at the radiative shock, taking a closer look at the Physics involved. We developed a purely analytical model describing the overall dependence of the observed cyclotron energy centroid on the shock front's height, including the relativistic boosting effect due to the mildly relativistic motion of the accreting plasma upstream with respect to the shock's reference frame and the gravitational redshift. We find that the CRSF energy varies with a) the shock height due to the dipolar magnetic field, b) the Doppler boosting between the shock and bulk-motion frames, and c) the gravitational redshift. We show that the relativistic effects noticeably weaken the predicted $E_{CRSF}-L_X$ anti-correlation. We use our model to fit the data of the X-ray source V0332+53 and demonstrate that the model fits the data impressively well, alleviating the tension between observations and theory. The reported $E_{CRSF}-L_X$ weak anti-correlation in the supercritical accretion regime may be explained by the combination of the variation of the magnetic-field strength along the accretion column, the effect of Doppler boosting, and the gravitational redshift. Thus, the actual magnetic field on the NS surface may be a factor of $\sim 2$ larger than the naively inferred value from the observed CRSF.

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