由校准的Yonetoku和Amati关系导出的宇宙学约束暗示了伽马射线暴的基本面
Cosmological Constraints from calibrated Yonetoku and Amati relation implies Fundamental plane of Gamma-ray bursts
摘要：
我们考虑了两个仅利用伽马射线暴瞬发数据的经验关系：峰值能量（$E_p$）-峰值亮度（$L_p$）关系（所谓米德关系）和$E_p$ -各向同性能量（$E_{\rm iso}$）关系（所谓阿马蒂关系）。我们首先建议的独立性的两个关系，虽然他们一直被认为是相似的和依赖的。从这个角度来看，我们比较宇宙学参数，$Ω_m$和$Ω_Λ$，从米德和Amati关系校准的低红移伽玛暴与$z < 1.8$的约束。我们发现它们在1- $σ$水平上是不同的，尽管它们在2- $σ$水平上仍然是一致的。这一点以及Amati和Yonetoku关系的系统误差大于统计误差的事实表明存在一个隐藏的伽玛暴参数。我们引入由$T_L\equiv E_{\rm iso}/L_p$定义的光度时间$T_L$作为隐藏参数，得到了一个广义的米德关系为$(L_p/{10^{52} \rm{erg s^{-1}}}) = 10^{-3.88\pm0.09}(E_p/{\rm{keV}})^{1.84\pm0.04} (T_L/{\rm{s}})^{-0.34\pm0.04}$。新关系式的系统误差小于30%，可视为伽玛暴的“基面”。我们展示了这种新关系的一个可能的辐射模型。最后，我们将这个新的关系应用于具有$1.8 < z < 5.6$的高红移伽玛暴，得到了$(Ω_m,Ω_Λ) = (0.16^{+0.04}_{-0.06},1.20^{+0.03}_{-0.09})$，它在2- $σ$水平上与协谐宇宙学模型是一致的。
英文摘要：
We consider two empirical relations using data only from the prompt emission of Gamma-Ray Bursts (GRBs), peak energy ($E_p$) - peak luminosity ($L_p$) relation (so called Yonetoku relation) and $E_p$-isotropic energy ($E_{\rm iso}$) relation (so called Amati relation). We first suggest the independence of the two relations although they have been considered similar and dependent. From this viewpoint, we compare constraints on cosmological parameters, $Ω_m$ and $Ω_Λ$, from the Yonetoku and Amati relations calibrated by low-redshift GRBs with $z < 1.8$. We found that they are different in 1-$σ$ level, although they are still consistent in 2-$σ$ level. This and the fact that both Amati and Yonetoku relations have systematic errors larger than statistical errors suggest the existence of a hidden parameter of GRBs. We introduce the luminosity time $T_L$ defined by $T_L\equiv E_{\rm iso}/L_p$ as a hidden parameter to obtain a generalized Yonetoku relation as $(L_p/{10^{52} \rm{erg s^{-1}}}) = 10^{-3.88\pm0.09}(E_p/{\rm{keV}})^{1.84\pm0.04} (T_L/{\rm{s}})^{-0.34\pm0.04}$. The new relation has much smaller systematic error, 30%, and can be regarded as "Fundamental plane" of GRBs. We show a possible radiation model for this new relation. Finally we apply the new relation for high-redshift GRBs with $1.8 < z < 5.6$ to obtain $(Ω_m,Ω_Λ) = (0.16^{+0.04}_{-0.06},1.20^{+0.03}_{-0.09})$, which is consistent with the concordance cosmological model within 2-$σ$ level.
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