We work on a GRB sample whose initial Lorentz factors (${\mathrm{\Gamma }}_0$) are constrained by the afterglow onset method and the jet opening angles (${\theta }_{\mathrm{j}}$) are determined by the jet break time. We confirm the ${\mathrm{\Gamma }}_0$–$E_{\gamma ,\mathrm{iso}}$ correlation by Liang et al. (2010), and the ${\mathrm{\Gamma }}_0$–$L_{\gamma ,\mathrm{iso}}$ correlation by Lü et al. (2012). Furthermore, we find correlations between ${\mathrm{\Gamma }}_0$ and the beaming corrected γ-ray energy ($E_{\gamma }$) and mean γ-ray luminosity ($L_{\gamma }$). By also including the kinetic energy of the afterglow, we find rough correlations (with larger scatter) between ${\mathrm{\Gamma }}_0$ and the total (γ-ray plus kinetic) energy and the total mean luminosity, both for isotropic values and beaming corrected values: these correlations allow us to test the data with GRB central engine models. Limiting our sample to the GRBs that likely have a black hole central engine, we compare the data with theoretical predictions of two types of jet launching mechanisms from BHs, i.e. the non-magnetized $\nu \overline{\nu }$-annihilation mechanism, and the strongly magnetized Blandford–Znajek (BZ) mechanism. We find that the data are more consistent with the latter mechanism, and discuss the implications of our findings for GRB jet composition.

我们处理GRB样本，其初始Lorentz因子（${\mathrm{\Gamma }}_0$）受余辉开始方法和射流张开角（${\theta }_{\mathrm{Ĵ}}$）由喷射时间决定。我们确认${\mathrm{\Gamma }}_0$–${Ë}_{\gamma ，\mathrm{iso}}$梁等人的相关性。（2010），以及${\mathrm{\Gamma }}_0$–${\mathrm{大号}}_{\gamma ，\mathrm{iso}}$吕等人的相关性。（2012）。此外，我们发现${\mathrm{\Gamma }}_0$并用光束校正后的γ射线能量（${Ë}_{\gamma }$）和平均γ射线发光度（${\mathrm{大号}}_{\gamma }$）。通过还包括余辉的动能，我们发现之间存在粗略的相关性（散射较大）${\mathrm{\Gamma }}_0$各向同性值和射束校正值的总（γ射线加动能）和总平均发光度：这些相关性使我们能够使用GRB中央发动机模型测试数据。将我们的样本限制为可能具有黑洞中央引擎的GRB，我们将数据与BH的两种类型的射流发射机制（即非磁化的）的理论预测进行了比较$\nu \overline{\nu }$-an灭机制，以及强磁化的布兰福德-扎纳克（BZ）机制。我们发现数据与后一种机制更加一致，并讨论了我们的发现对GRB射流组成的影响。