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首页> 外文期刊>The Astrophysical journal >RELATIONSHIP BETWEEN THE GAMMA-RAY BURST PULSE WIDTH AND ENERGY DUE TO THE DOPPLER EFFECT OF FIREBALLS
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RELATIONSHIP BETWEEN THE GAMMA-RAY BURST PULSE WIDTH AND ENERGY DUE TO THE DOPPLER EFFECT OF FIREBALLS

机译：火球多普勒效应对伽马射线爆裂脉冲宽度与能量的关系

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摘要

We study in detail how the pulse width of gamma-ray bursts is related to energy under the assumption that the sources concerned are in the fireball stage. Due to the Doppler effect of fireballs, there exists a power-law relationship between the two quantities within a limited range of frequency. The power-law range and power-law index depend strongly on the observed peak energy E_p as well as the rest-frame radiation form, and the upper and lower limits of the power-law range can be determined by E_p. It is found that within the same power-law range, the ratio of the FWHM of the rising portion to that of the decaying phase of the pulses is also related to energy in the form of power laws. A plateau/power law/plateau feature is observed in the two relationships. In the case of an obvious softening of the rest-frame spectrum, the two power-law relationships also exist, but the feature evolves to a peaked one. Predictions of the relationships in the energy range covering both the BATSE and Swift bands for a typical hard burst and a typical soft one are made. A sample of FRED (fast rise and exponential decay) pulse bursts shows that 27 out of the 28 sources belong to either the plateau/power law/plateau feature class or to the peaked feature group, suggesting that the effect concerned is indeed important for most of the sources of the sample. Among these bursts, many might undergo an obvious softening evolution of the rest-frame spectrum.
机译：在有关源处于火球阶段的假设下，我们详细研究了伽马射线爆发的脉冲宽度与能量的关系。由于火球的多普勒效应，在有限的频率范围内，两个量之间存在幂律关系。幂律范围和幂律指数在很大程度上取决于观察到的峰值能量E_p以及其余帧的辐射形式，并且幂律范围的上限和下限可以由E_p确定。发现在相同的幂律范围内，脉冲的上升部分的FWHM与脉冲的衰减相位的FWHM之比也以幂律的形式与能量有关。在两种关系中观察到平稳/幂律/平稳特征。在其余帧频谱明显减弱的情况下，两个幂律关系也存在，但特征演变为峰值。对典型的硬猝发和典型的软猝发的涵盖BATSE和Swift频带的能量范围内的关系进行了预测。 FRED（快速上升和指数衰减）脉冲突发的样本显示，在28个源中，有27个属于高原/幂定律/高原要素类或峰值要素组，这表明相关影响对于大多数人而言确实很重要样本来源。在这些突发中，许多可能会经历其余帧频谱的明显减弱。

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