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About 10TeV gamma-ray emission within 10 pc region from the Galactic Centerhad been reported by 4 independent groups. Considering that this TeV gamma-rayemission is produced via a hadronic model, and the relativistic protons camefrom the tidal disruption of stars by massive black holes, we investigate thespectral nature of the injected relativistic protons required by the hadronicmodel. The calculation was carried on the tidal disruption of the differenttypes of stars and the different propagation mechanisms of protons in theinterstellar medium. Compared with the observation data from HESS, we find forthe best fitting that the power-law index of the spectrum of the injectedprotons is about -1.9, when a red giant star is tidally disrupted, and theeffective confinement of protons diffusion mechanism is adopted.

Study on the spectrum of the injected relativistic protons