论文标题
4FGL隐含的伽马射线脉冲星的基本平面关系
The Fundamental Plane Relation for Gamma-Ray Pulsars Implied by 4FGL
论文作者
论文摘要
我们使用最新的4FGL-DR3目录中包含的190个脉冲星探索了最近报道的伽马射线脉冲星的基本平面（FP）关系的有效性。该样本编号是原始研究的两倍以上。 FP关系包含4个参数，即旋转功率，$ \ dot {\ Mathcal {e}} $，表面磁场，$ b _ {\ star} $，总gamma-ray亮度，$l_γ$，$l_γ$，频谱切口能量，$ $ __________ {\ rm cut} $ε_ {\ rm cut} $的推导是最吸引人的，因为$ε_ {\ rm cut} $取决于对可用相位平衡光谱的正确解释。我们构建了由少数现有相位溶解的光谱构造的合成相位平均光谱，以发现最合适的截止能量，$ε_{\ rm c1} $，对应于纯指数的截止（加上幂律）光谱形式，是最大程度地探测出核心范围的最大截止能量的参数，该参数是归类的。计算190 4fgl脉冲星的此参数，我们发现所得的fp关系，即，根据其他可观察到的gamma-ray亮度，读取$l_γ= 10^{14.3 \ pm 1.3}（ε_ meV}）^{1.39 \ pm0.17}（b _ {\ star}/{\ rm g}） 〜ERG \; s^{ - 1}} $;这与Kalapotharakos等人报道的经验关系都很好。 （2019年）和理论上预测的曲率辐射关系。最后，我们重新审视辐射反应有限的条件，以发现它是足够但不是FP关系的理论推导的必要条件。但是，辐射反应有限加速的假设揭示了基础的加速电场组件及其用$ \ dot {\ Mathcal {e}} $进行缩放。
We explore the validity of the recently reported fundamental plane (FP) relation of gamma-ray pulsars using 190 pulsars included in the latest 4FGL-DR3 catalog. This sample number is more than twice as large as that of the original study. The FP relation incorporates 4 parameters, i.e., the spin-down power, $\dot{\mathcal{E}}$, the surface magnetic field, $B_{\star}$, the total gamma-ray luminosity, $L_γ$, and a spectral cutoff energy, $ε_{\rm cut}$. The derivation of $ε_{\rm cut}$ is the most intriguing one because $ε_{\rm cut}$ depends on the proper interpretation of the available phase-averaged spectra. We construct synthetic phase-averaged spectra, guided by the few existing phase-resolved ones, to find that the best fit cutoff energy, $ε_{\rm c1}$, corresponding to a purely exponential cutoff (plus a power law) spectral form, is the parameter that optimally probes the maximum cutoff energy of the emission that originates from the core of the dissipative region, i.e., the equatorial current sheet. Computing this parameter for the 190 4FGL pulsars, we find that the resulting FP relation, i.e. the gamma-ray luminosity in terms of the other observables, reads $L_γ=10^{14.3\pm 1.3}(ε_{\rm c1}/{\rm MeV})^{1.39\pm0.17}(B_{\star}/{\rm G})^{0.12\pm 0.03}(\dot{\mathcal{E}}/{\rm erg\;s^{-1}})^{0.39\pm 0.05}{\rm ~erg\;s^{-1}}$; this is in good agreement with both the empirical relation reported by Kalapotharakos et al. (2019) and the theoretically predicted relation for curvature radiation. Finally, we revisit the radiation reaction limited condition, to find it is a sufficient but not necessary condition for the theoretical derivation of the FP relation. However, the assumption of the radiation reaction limited acceleration reveals the underlying accelerating electric field component and its scaling with $\dot{\mathcal{E}}$.
