基于重复快速射电暴统计约束磁星磁场的贝叶斯框架
A Bayesian Framework for Constraining Magnetar Magnetic Fields from Repeating FRB Statistics
AI总结：
该研究开发贝叶斯框架，结合重复FRB的等待时间与能量分布统计，约束其磁星磁场，多数源符合$10^{13}$-$10^{15}$高斯磁星强度，FRB~20200120E磁场要求更低，为关联FRB特性与磁能储备提供统计方法。
AI中文摘要：
快速射电暴（FRB）被广泛认为与磁星相关，其动机来自于从银河系磁星SGR~1935+2154探测到的FRB类射电暴。然而，约束河外FRB源的磁场强度仍然具有挑战性。在这项工作中，我们开发了一种贝叶斯框架，将FRB时间-能量序列建模为标记点过程，结合暴等待时间统计与能量分布，以量化在磁星供能场景下维持观测到的爆发活动所需的磁场强度。将该方法应用于重复FRB样本，我们结合从银河系事件校准的射电辐射效率的经验先验，推导了它们的磁场约束。在活动占空比的保守假设下，大多数源所需的磁场能量储备与磁星强度场一致，特征场强度约为$10^{13}$-$10^{15}$高斯，尽管约束仍对知之甚少的效率和占空比参数敏感。FRB~20200120E是一个有趣的案例，其磁场要求显著更低，凸显了源环境和演化历史在解释FRB活动中的重要性。我们的框架提供了一种将瞬变暴特性与磁能储备关联的统计方法，有望应用于FRB和其他磁供能瞬变源。
英文摘要：
Fast radio bursts (FRBs) are widely considered to be associated with magnetars, motivated by the detection of an FRB-like radio burst from the Galactic magnetar SGR~1935+2154. However, constraining the magnetic field strength of extragalactic FRB sources remains challenging. In this work, we develop a Bayesian framework that models FRB time--energy sequences as a marked point process, combining burst waiting-time statistics with energy distributions to quantify the magnetic field strengths required to sustain the observed bursting activity under the magnetar powered scenario. Applying this method to a sample of repeating FRBs, we derive constraints on their magnetic fields by incorporating an empirical prior on the radio emission efficiency calibrated from the Galactic event. Under a conservative assumption for the activity duty cycle, most sources require magnetic energy reservoirs consistent with magnetar strength fields, with characteristic field strengths of order $10^{13}$--$10^{15}$ G, although the constraints remain sensitive to the poorly known efficiency and duty-cycle parameters. FRB~20200120E provides an interesting case with a substantially lower field requirement, highlighting the importance of source environment and evolutionary history in interpreting FRB activity. Our framework provides a statistical approach for connecting transient burst properties with magnetic energy reservoirs, with potential applications to FRBs and other magnetically powered transients.
