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GRB 080319B: Prompt Emission from Internal Forward-Reverse Shocks Yun-Wei Yu 1,2, X. Y. Wang 1, & Z. G. Dai 1 (俞云伟,王祥玉,戴子高) 1 Department of Astronomy, Nanjing University 2 Institute of Astrophysics, Huazhong Normal University
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The synchrotron and synchrotron self-Compton scenario may satisfy these tow requirements (Kumar & Panaitascu 2008). In the popular internal shock model, paired forward and reverse shocks are generated by collisions of relativistic shells simultaneously. Alternatively, the two-component synchrotron emission produced by these two types of shocks may account for the prompt optical and gamma-ray emissions of GRB 80319B. Yu, Wang & Dai (2008, arXiv:0806.2010): Racusin et al. (2008) 1, Temporal coincidence 2, Optical excess GRB 080319B Forward shocks Reverse shocks
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1 Dynamics and electron distribution Unshocked shell 4 Unshocked shell 1 2 3 Reverse shockForward shock Contact discontinuity (CD) surface The structure of the internal forward-reverse shocks shell 1shell 4 Shocked regions
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1432 i =1, 4 L k,1 ~ L k,4 L k,1 g 1 L k,4 g 4
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For GRB 080319B the reverse shock is relativistic, while the forward shock is possibly Newtonian. Writing, can get
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The characteristic energy of the reverse-shocked electrons is much higher than the one of the forward-shocked electrons. The resulting synchrotron photons would peak at two different energy bands. For GRB 080319B, the reverse shock is responsible for the prompt gamma-ray emission, while the forward shock contributes to the optical component.
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If we assume the magnetic field maintains a steady value throughout the shocked region, we would get a synchrotron spectrum with a spectral slope F n ∝ n -1/2 below 100 keV, which is in contradiction to the much harder spectra observed (Ghisellini et al. 2000). To overcome this problem, Ghisellini et al. (2000) and Pe’er & Zhang (2006) suggested that the magnetic field created by a shock could decay on a length scale much shorter than the comoving width of the shocked region, i.e.,
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2 Emission The reverse shock and prompt gamma-ray emission
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The forward shock and prompt optical emission (Vestrand et al. 2008; Kumar & Panaitascu 2008) <1
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Application to GRB 080319B
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IC emission SSC EIC
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Conclusion The temporal coincidence implies both emissions could originate from the same dynamical process, but the significant excess of the optical flux requires two different emission origins. The MeV gamma-ray emission results from relativistic reverse shocks while the optical emission from non- relativistic forward shocks. Highly relativistic reverse shocks are required for GRB 080319B. Within the observed optical and MeV gamma-ray bands, the synchrotron emission is the dominant component. A high energy (sub-GeV or GeV) emission (EIC) component is predicted, the flux of which is lower than or at most comparable to that of the synchrotron MeV emission.
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