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- W3106259316 abstract "We show analytically that GRB jets with an emissivity profile given by the Fisher distribution, epsilon(theta) = A (.) exp[B (.) cos theta], have the unique property of producing equal numbers of bursts per logarithmic interval in E-iso, and therefore in most burst properties. Since this broad distribution of burst properties is a key feature found by HETE-2, a Fisher-shaped universal jet model can explain many of the observed properties of XRFs, X-ray-rich GRBs, and GRBs reasonably well, in contrast to a power law universal model. For small viewing angles, the Fisher distribution can be approximated by a Gaussian, whose properties have been explored by Zhang B. et al. (ApJ, 601 (2004) 1,119). We also show that the Fisher universal jet model produces a broad distribution in the inferred radiated energy E-gamma(inf), in contrast to the narrow distribution predicted by the uniform variable-opening-angle jet model (Lamb D. Q. et al., ApJ, 620 (2005) 335). Here we present Monte Carlo simulations of both a Fisher-shaped universal jet model and a Fisher-shaped variable-opening-angle jet model." @default.
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- W3106259316 date "2005-05-01" @default.
- W3106259316 modified "2023-09-23" @default.
- W3106259316 title "Unifying XRFs and GRBs with a Fisher-shaped universal jet model" @default.
- W3106259316 hasPublicationYear "2005" @default.
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