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The Fermi satellite has been reporting the detailed temporal properties ofgamma-ray bursts (GRBs) in an extremely broad spectral range, 8 keV - 300 GeV,in particular, the unexpected delays of the GeV emission onsets behind the MeVemission of some GRBs. We focus on GRB 080916C, one of the Fermi-LAT GRBs forwhich the data of the delayed high-energy emission are quite extensive, and weshow that the behavior of the high-energy emission of this burst can beexplained by a model in which the prompt emission consists of two components:one is the MeV component due to the synchrotron-self-Compton radiation ofelectrons accelerated in the internal shock of the jet and the other is thehigh-energy component due to inverse Compton scattering of the photosphericX-ray emission of the expanding cocoon off the same electrons in the jet. Suchan external inverse Compton effect could be important for other Fermi-LAT GRBs,including short GRBs as well. In this model, the delay timescale is directlylinked to the physical properties of GRB progenitor.

An External Inverse Compton Emission Model of Gamma-Ray Burst High-Energy Lags