The angular structure of the GW170817 jet from prompt emission alone
仅凭瞬发辐射确定 GW170817 喷流的角向结构
We determine the angular structure of the GW170817 jet by the prompt emission alone, without afterglow fitting, circumburst density or microphysical parameters. We assume that GRB 090510 and GW170817 have outflows of the same kind, observed respectively on-axis and at the interferometric viewing angle of $20^\circ$. We support this assumption with independent gravitational-wave data showing compatible binary masses and radiated energies. We show that for an observer whose beaming cone is filled with outflow, the point-source Doppler scalings do not apply: $E_{\rm iso}=4πε(θ_v)$, with $ε$ the energy radiated per unit solid angle along the line of sight, while the peak energy follows $E_{\rm p,i}\proptoΓ(θ_v)$. We obtain $n={\rm d}\lnε/{\rm d}\lnΓ= 3.76\pm0.29$ from the ratio of the two bursts, with no free parameter and no assumed angle. This excludes four structures in common use at $4.7σ$ to $13σ$; three remain above $4σ$ across the full reported range of the peak energy of the GW170817 jet. Two prompt spectra fix no angular scale; supplying it with the core Lorentz factor of GRB 090510 and the viewing angle gives $ε\proptoθ^{-7.4}$ outside a core of $2^\circ$--$5^\circ$, in agreement with the width inferred from $367$ short bursts, the outflow remaining relativistic at $Γ=33$ on the line of sight. The exponent exceeds what the Lorentz boost of a uniform comoving flow can produce, so the structure is intrinsic to the outflow and not a consequence of the boost. The same structure fixes the emission radius, which contributes $0.41$~s of the $1.74$~s delay between the gravitational-wave signal and the gamma-rays, the remainder being the launch and breakout of the jet, with no free parameters. We conclude that the faintness lies in the structure of the GW170817 jet, not in the de-beaming of a bright core.
展开 ▾无需余辉拟合、外介质密度或微物理参数,只用两条瞬时谱加引力波锚点即可确定喷流结构;排除多种常用结构,并同时给出辐射半径、效率及 GW–GRB 延迟解释。
以往对短暴喷流角向结构的测定主要依赖多波段余辉拟合,例如 Ghirlanda+ 2019,这需要预设外介质密度和微物理参数;而谱模型的离轴关系则由 Salafia+ 2015 等以填充视锥的积分形式给出,早期离轴点源近似则在 Ioka & Nakamura 2018 等工作中使用。本文把 GRB 090510 与 GW170817 视为同一类外流沿轴与离轴观测,仅用两条瞬时谱和引力波信息测得 n=3.76±0.29,避免余辉假设,并排除若干常用结构。由此得到的 ε∝θ^{-7.4} 与独立短暴统计样本的核心张角一致,并同时给出辐射半径和效率。未来若有第三个具有独立 Lorentz 因子测量的暴,就能把这条斜率约束成形状并检验“同类系统”前提;而该方法也可推广到更大样本的短暴与多信使数据,直接约束喷流准直与引擎性质。
预印本 2026-09-04 · 收录 2026-09-07