HAMCOR：一种基于物理的哈密顿框架，用于从X射线回波延迟推断活动星系核日冕几何结构
HAMCOR: A physics-driven Hamiltonian framework for inferring AGN coronal geometry from X-ray reverberation lags
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中文总结 AI 辅助
研究利用HAMCOR方法，通过回波延迟测量推断吸积黑洞X射线日冕结构，将其重构为物理哈密顿量基态选择，经多方面验证及应用于多源，恢复一致几何结构，还对Mrk 335多历元分析，结果稳健。
中文摘要 AI 辅助
我们提出了HAMCOR（基于哈密顿量的活动星系核多约束日冕推断框架），这是一种与几何无关的方法，用于利用回波延迟测量来推断吸积黑洞的X射线日冕结构。与传统的模板拟合方法不同，HAMCOR将日冕几何推断重新构建为物理哈密顿量的基态选择。日冕表示为圆柱网格上的离散发射率分布，其几何结构由五个相互竞争的物理约束产生：磁相干性、延迟一致性、照明一致性、对产生稳定性和能量预算可行性。通过在概率单纯形上使用Armijo回溯线搜索的投影梯度下降进行最小化。我们在三种合成几何结构（灯柱、柱体、环）上使用与实际数据拟合相同的网格对HAMCOR进行验证，恢复的空间相关性rho分别为0.24、0.50、0.12，分数延迟误差低于24%。超参数敏感性分析证实了在耦合常数超过一个数量级的情况下的稳健性。我们将HAMCOR应用于五个黑洞质量跨越七个数量级源：四个用XMM - Newton观测的活动星系核（Mrk 335、1H 0707 - 495、IRAS 13224 - 3809、MCG - 6 - 30 - 15）和恒星质量黑洞双星天鹅座X - 1（M_bh = 14.8 M_sun），在整个质量范围内恢复了一致的扩展盘 - 日冕几何结构。我们进一步对Mrk 335在五个XMM - Newton观测（2006 - 2019）上进行多历元分析，发现在回波延迟幅度跨越约15倍的通量状态下，日冕质心在（R_c，z_c）~（6.3，0.5）r_g处保持稳定，反对坍缩或膨胀的灯柱模型。史瓦西 - 夏皮罗延迟校正平均占平直时空延迟的约79%；恢复的空间形态对此校正具有稳健性。
英文摘要
We present HAMCOR (Hamiltonian-based AGN Multi-constraint CORonal inference framework), a geometry-agnostic method for inferring the X-ray coronal structure of accreting black holes using reverberation-lag measurements. Unlike conventional template-fitting approaches, HAMCOR reframes coronal geometry inference as the ground-state selection of a physical Hamiltonian. The corona is represented as a discrete emissivity distribution over a cylindrical grid, and its geometry emerges from five competing physical constraints: magnetic coherence, lag consistency, illumination consistency, pair-production stability, and energy budget feasibility. Minimisation is performed via projected gradient descent with Armijo backtracking line search on the probability simplex. We validate HAMCOR on three synthetic geometries (lamppost, column, ring) using the same grid as the real-data fits, recovering spatial correlations rho = 0.24, 0.50, 0.12 and fractional lag errors below 24 per cent. A hyperparameter sensitivity analysis confirms robustness over more than one order of magnitude in the coupling constants. We apply HAMCOR to five sources spanning seven orders of magnitude in black hole mass: four AGN observed with XMM-Newton (Mrk 335, 1H 0707-495, IRAS 13224-3809, MCG-6-30-15) and the stellar-mass black hole binary Cyg X-1 (M_bh = 14.8 M_sun), recovering consistent extended disc-corona geometries across the full mass range. We further present a multi-epoch analysis of Mrk 335 across five XMM-Newton observations (2006-2019), revealing that the coronal centroid remains stable at (R_c, z_c) ~ (6.3, 0.5) r_g across flux states spanning a factor of ~15 in reverberation lag amplitude, arguing against a collapsing or expanding lamppost. Schwarzschild-Shapiro delay corrections amount to ~79 per cent of the flat-spacetime lag on average; the recovered spatial morphology is robust to this correction.
发表机构
- Università degli Studi di Brescia（布雷西亚大学）
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