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The FWHM of Local Pulses and the Corresponding Power-Law Index of Gamma-Ray Burst FRED Pulses

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L.-W. Jia1,2 and Y.-P. Qin1,3

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The FWHM of gamma-ray burst (GRB) pulses is known to be related to energy by a power law. We wonder if the power-law index α is related to the corresponding local pulse width FWHM0. Seven FRED (fast rise, exponential decay) pulse GRBs are employed to study this issue; six of them were interpreted recently by the relativistic curvature effect (the Doppler effect of fireballs), and the corresponding local pulses were intensely studied. A regression analysis shows an anticorrelation between log α and log FWHM0 with a slope of -0.37 ± 0.13. This suggests that, for the class of the GRB pulses that are the consequence of the curvature effect, the difference in the local pulse width might lead to a variation in the power-law index, in which the smaller the width, the larger the value of α. Since the number of sources employed in this analysis is small, our result is only a preliminary one that needs to be confirmed by larger samples.


Subject headings

gamma rays: bursts


Dates

Issue 1 (2005 September 20)

Received 2005 May 10, accepted for publication 2005 August 4

Published 2005 August 29



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