Constraining gamma-ray burst viewing angles with Swift/XRT afterglow light curves
利用 Swift/XRT 余辉光变曲线约束伽马射线暴观测角
Gamma-ray bursts (GRBs) are among the most energetic phenomena in the universe, and their afterglow light curves encode information about jet geometry and viewing angle. To constrain GRB viewing angles, we analyzed jet break features in Swift X-Ray Telescope afterglow light curves using two top-hat jet models: a simplified geometric model without high-latitude emission (model 1) and a comprehensive model including it (model 2). Both models were applied to a sample of 20 GRBs in an interstellar medium (ISM) and 20 in a wind medium, selected so that jet breaks are attributed to the edge effect with sufficient data coverage, and fitted with Markov Chain Monte Carlo methods. We examined viewing angles and off-axis ratios q = $θ_{\rm obs}/θ_{\rm jet}$ under both density profiles, evaluating the impact of high-latitude emission. Based on reduced chi-squared and Bayesian information criterion comparisons, model 1 fits all GRBs better. Most GRBs have small off-axis ratios (mean q = 0.1851 for model 1), indicating viewing angles generally close to the jet axis; the log-space viewing-angle distribution is approximately Gaussian. A Kolmogorov-Smirnov test shows no significant difference in off-axis ratios between ISM and wind media, nor between bursts with and without an X-ray plateau. While viewing angles decrease significantly with redshift, the off-axis ratio shows no significant evolution, consistent with off-axis alignment being independent of cosmic epoch.
展开 ▾将 Zhou & Zou 的双模型从单个 TeV 源推广到 40 个 X 射线余辉样本,系统评估高纬度发射对视角推断的影响;发现简化模型拟合更优但会系统性高估离轴比约 20%,为后续结构化喷流建模提供基准。
Rhoads 1997 最早建立喷流边缘效应与 jet break 的几何联系;Granot+ 2002 给出离轴高纬度发射的 Doppler 变换,成为含高纬度发射模型的基础。Zhou & Zou 针对 GRB 221009A 的 TeV 余辉将这两种描述发展为可拟合模型,约束了单个极亮源的观测角 Zhou+ 2024。本文将该框架推广至 Swift/XRT 的 40 个 X 射线余辉样本,并加入星风介质情形,系统比较两种模型。结果表明无高纬度发射的模型在统计上更受偏爱,但会高估离轴比约 20%,提示模型选择带来不可忽略的系统误差。未来应放宽顶帽假设,采用结构化喷流模型,并结合多波段联合拟合来更可靠地约束离轴观测与喷流结构。
预印本 2026-08-26 · 收录 2026-08-27