单峰伽玛射线暴光变曲线的FWHM与持续时间之间的关系

探讨了具有单峰结构的伽玛射线暴(GRB)光变曲线的半峰全宽(FWHM)与伽玛暴持续时标T之间的关系.用目前公认的半经验公式——Kocevski, Ryde & Liang (2003)模型对108个单峰光变曲线数据样本进行拟合，选取59个χ²<2的有效拟合样本计算FWHM，然后对FWHM与T进行相关分析.两者能较好地用幂率关系进行拟合为T≈BW^a，其中W为光变曲线的关键词：伽玛射线暴(GRB)光变曲线相关分析

The relationship between FWHM and duration of single peaked GRB light curves

We explored the relation between FWHMs of single pulses in a sample of GRB (Gamma-Ray Burst) light curves and durations of the GRBs. Based on a sample of 108 single_peaked GRB light curves, we fitted these sample data with Kocevski, Ryde & Liang (2003) model. A sub-sample containing 59 pulses with χ²<2 is selected to test whether there is a relation between FWHM of the pulses and the duration of GRBs or not. The relation between these two quantities is well fitted with T≈BW^a, where T is the duration, W is the FWHM， a and B are constants. Our result shows that there does exist a proportional correlation between the logarithm of FWHMs and the logarithm of T90 (duration containing from 5% to 95% of the total fluence of a GRB) of GRB light curves with a correlation coefficient R=072.The proportional correlation between the logarithm of FWHMs and the logarithm of T50 (duration containing from 25% to 75% of the total fluence of a GRB) is more tight with a larger correlation coefficient R=093.Our finding shows that the light curve structure is correlated to the GRB duration. A larger FWHM corresponds to a longer GRB.