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The Addition of Duration Does Not Improve The Luminosity Relations for Gamma Ray Bursts

机译:添加持续时间不会改善伽马射线爆发的发光度关系

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Firmani et al. (2006) proposed a new Gamma Ray Burst (GRB) luminosity relation that showed a significant improvement over the Li, - Epeak relation. (L_(iso) is the isotropic peak luminosity and Epeak is the photon energy of the spectral peak for the burst.) The new proposed relation simply modifies the Epeak value by multiplying it by a power of T0.45, where T0.45 is a particular measure of the GRB duration. We begin by reproducing the results of Firmani for his 19 bursts.We then test the Firmani relation for the same 19 bursts except that we use independently measured values for Lis, T0.45 and E peak, and we find that the relation deteriorates substantially. We further test the relation by using 60 GRBs with measured spectroscopic redshifts, and find a relation that has a comparable scatter as the original L_(iso) - Epeak relation. That is, a much larger sample of bursts does not reproduce the small scatter as reported by Firmani et al. Finally, we investigate whether the Firmani relation is improved by the use of any of 32 measures of duration (e.g., T90, T50, T_(90)/N peak, the fluence divided by the peak flux, T0.30, and T0.60) in place of T0.45. The quality of each alternative duration measure is evaluated with the root mean square of the scatter between the observed and fitted logarithmic L_(iso) values. Although we find some durations yield slightly better results than T0.45, the differences between the duration measures are minimal. We find that the addition of a duration does not add any significant improvement to the L_(iso) - Epeak relation. We also present a simple and direct derivation of the Firmani relation from both the L_(iso) - E_(peak) and Amati (2002) relations. In all we conclude that the Firmani relation neither has an independent existence nor does it provide any significant improvement on previously known relations that are simpler.
机译:Firmani等。 (2006)提出了一种新的伽马射线爆发(GRB)发光度关系,显示出对LI, - EPEAK关系的显着改善。 (L_(ISO)是各向同性峰值亮度,EPEAK是突发的光谱峰的光子能量。)新的提出关系通过将其乘以T0.45的功率来改变EPEAK值,其中T0.45是特定测量GRB持续时间。我们首先复制Firmani的结果为他的19次爆发。我们然后测试Firmani对同一19个突发的关系,不同之处在于我们使用LIS,T0.45和E峰的独立测量值,并且我们发现该关系大大恶化。我们通过使用具有测量光谱射频的60个GB来进一步测试关系,并找到具有与原始L_(ISO) - EPEAK关系的可比分布的关系。也就是说,突发的更大样本不会再现Firmani等人报告的小散射。最后,我们通过使用32个持续时间(例如,T90,T50,T_(90)/ N峰值中的任何一种来调查Firmani关系是否改善了任何中的任何一种,流量除以峰值通量,T0.30和T0。 60)代替T0.45。使用观察和拟合的对数L_(ISO)值之间的散射的根均线评估每个替代持续时间测量的质量。虽然我们发现一些持续时间比T0.45稍微好转,但持续时间措施之间的差异是最小的。我们发现添加持续时间不会增加L_(ISO) - EPEAK关系的任何显着改进。我们还提出了从L_(ISO) - e_(峰值)和Amati(2002)关系的Firmani关系的简单和直接推导。在所有我们得出结论中,Firmani关系既不具有独立存在,也没有提供对先前已知关系的任何显着改善。

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