GRB中确定的宽度-Eiso和宽度-Liso关系：与Amati和Yonetoku关系的比较
Confirmed width-Eiso and width-Liso relations in GRB: comparison with the Amati and Yonetoku relations
摘要：
本文选取一个由Konus-Wind观测到的具有已知红移的141个BEST时间积分F谱和145个BEST峰值通量P谱的样本，重新检验谱宽与$E_{iso}$和$L_{iso}$之间的关系。我们定义了六种类型的绝对光谱宽度。结果表明，无论是F谱还是P谱，所有静止帧绝对谱宽都与$E_{iso}$以及长爆发的$L_{iso}$有很强的正相关关系。所有的短爆发都是宽度- $E_{iso}$关系的异常值，而大部分短爆发与F和P谱的宽度- $L_{iso}$关系的长爆发一致。此外，对应于不同谱宽的所有位置能量$E_{2}$和$E_{1}$也与$E_{iso}$和$L_{iso}$正相关。我们将这些关系与Amati关系和Yonetoku关系进行了比较，发现宽度- $E_{iso}$和宽度- $L_{iso}$关系在$EF_{E}$谱的90%最大值处分别与Amati关系和Yonetoku关系几乎重叠.当位置能量位于$EF_{E}$的99%最大值时，$E_{2}-E_{iso}$、$E_{1}-E_{iso}$和$E_{2}-L_{iso}$、$E_{1}-L_{iso}$的相关性分别非常接近Amati和Yonetoku关系.因此，我们证实了存在紧密的宽度- $E_{iso}$和宽度- $L_{iso}$关系的长突发。我们进一步表明，频谱形状确实与$E_{iso}$和$L_{iso}$。Amati和Yonetoku关系不一定是将能量与$E_{iso}$和$L_{iso}$相关联的最佳关系。它们可以是宽度- $E_{iso}$和宽度- $L_{iso}$关系或能量- $E_{iso}$和能量- $L_{iso}$关系的特殊情况。
英文摘要：
In this paper, we select a sample including 141 BEST time-integrated F spectra and 145 BEST peak flux P spectra observed by the Konus-Wind with known redshift to recheck the connection between the spectral width and $E_{iso}$ as well as $L_{iso}$. We define six types of absolute spectral widths. It is found that all of the rest-frame absolute spectral widths are strongly positive correlated with $E_{iso}$ as well as $L_{iso}$ for the long burst for both the F and P spectra. All of the short bursts are the outliers for width-$E_{iso}$ relation and most of the short bursts are consistent with the long bursts for the width-$L_{iso}$ relation for both F and P spectra. Moreover, all of the location energy, $E_{2}$ and $E_{1}$, corresponding to various spectral widths are also positive correlated with $E_{iso}$ as well as $L_{iso}$. We compare all of the relations with the Amati and Yonetoku relations and find the width-$E_{iso}$ and width-$L_{iso}$ relations when the widths are at about 90\% maximum of the $EF_{E}$ spectra almost overlap with Amati relation and Yonetoku relation, respectively. The correlations of $E_{2}-E_{iso}$, $E_{1}-E_{iso}$ and $E_{2}-L_{iso}$, $E_{1}-L_{iso}$ when the location energies are at 99\% maximum of the $EF_{E}$ spectra are very close to the Amati and Yonetoku relations, respectively. Therefore, we confirm the existence of tight width-$E_{iso}$ and width-$L_{iso}$ relations for long bursts. We further show that the spectral shape is indeed related to $E_{iso}$ and $L_{iso}$. The Amati and Yonetoku relations are not necessarily the best relationships to relate the energy to the $E_{iso}$ and $L_{iso}$. They may be the special cases of the width-$E_{iso}$ and width-$L_{iso}$ relations or the energy-$E_{iso}$ and energy-$L_{iso}$ relations.
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