Determination of the Angular Distributions of Dynamical and Emission Parameters of GRB Relativistic Outflows
伽马暴相对论性外流动力学与辐射参数角分布的确定
A previously-developed analytical treatment of the "Larger-Angle Emission" model for GRBs and afterglows is further developed to include the effect of a fixed magnetic field orientation. This model, has the uncanny ability to unify the prompt and delayed emissions and to account easily for the entire diversity of Swift X-ray light-curves. The LAE model is applied to seven GRBs (060526, 060614, 060714, 060729, 061007, 061121, 100902, 130427A) with well-sampled 0.3 keV/10 keV Swift/XRT and optical light-curves, displaying well-monitored four phases (GRB, Tail, Plateau, post-Plateau), to illustrate its power and limitations and to determine its five fundamental parameters. The one-and-only Core parameter Gamma_c*theta_c is determined by the GRB and afterglow temporal milestones (i.e. by the dynamical range of the Tail and Plateau), and may have an universal value around 3.0, with narrower Cores (smaller theta_c) being more relativistic (higher Gamma_c). Flat Plateaus require an Envelope angular structure close to Gamma(theta) ~ 1/theta^2. A magnetic field parallel to the direction of the relativistic flow yields more curved prompt/GRB and delayed/afterglow light-curves than a perpendicular or isotropic field, with curvature $Δα$ defined as the difference between the flux asymptotic power-law decay indices at the beginning and end of each phase. The curvature Delta alpha_grb of the GRB light-curves arising from the uniform Core is set only by the B-field orientation, and a perpendicular or isotropic B-field is equally often found, but a parallel field is never identified for the Core. The curvature Delta alpha_ag of the afterglow light-curves from the power-law Envelope depends on B-orientation and three other parameters. The Envelope B-field orientation can be identified for only three afterglows, where a parallel B is found.
展开 ▾首次在LAE解析框架中纳入单向磁场修正,指出平行磁场会增大光变曲率;拟合优质四阶段光变曲线得到准普适的Core参数Γcθc≈3.0,并识别出Core与Envelope磁场取向差异。
LAE模型最初由 Oganesyan+ 2020 提出,用同一辐射表面统一GRB瞬时与余辉辐射;Panaitescu 2020 和 Panaitescu 2025 建立了均匀Core+幂律Envelope的解析框架。本文在此基础上加入固定方向磁场修正,并利用多个具有完整四阶段光变的Swift GRB光学与X射线数据约束五个基本参数。结果表明准普适Core参数Γcθc≈3.0,平缓Plateau要求包层Γ(θ)~θ^{-2},平行磁场可增强光变曲率。这些结果与喷流加速数值模拟给出的包层幂律指数(如 Duffell & MacFadyen 2013)和驱动机制-结构关联(Urrutia+ 2023)相呼应。未来需放宽均匀Core假设、纳入角向谱演化与偏轴观测,以更可靠地识别磁场方向并检验准普适关系。
预印本 2026-09-14 · 收录 2026-09-16