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Redshift Degeneracy in the Eiso-Epeak Relation of Gamma-Ray Bursts

Li-Xin Li
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Abstract

In this Letter we show that there is a redshift degeneracy in the Eiso-Epeak relation of gamma-ray bursts (GRBs). If a GRB has a redshift solved from the Eiso-Epeak relation that lies in the range of 0.9<z<20, a GRB that has the same observed fluence and peak spectral energy but is at a different redshift in that range also satisfies the Eiso-Epeak relation within 1-sigma error, implying an extremely large error in the calculated redshift. Even if the data scatter in the Eiso-Epeak relation is reduced by a factor of 2, the error in the predicted redshift is still large enough to prevent constraining the redshift meaningfully. Hence, the Eiso-Epeak relation is not useful for determining the GRB distance.

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Li-Xin Li. 2006-10-13. Redshift Degeneracy in the Eiso-Epeak Relation of Gamma-Ray Bursts. https://doi.org/10.1111/j.1745-3933.2006.00256.x

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