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The adiabatic growth of a black hole (BH) may enhance the dark matter (DM)density surrounding it, causing a spike in the DM density profile. The spikearound the supermassive BH at the center of the Milky Way may lead to adramatic enhancement of the gamma-ray flux of DM annihilation from the galacticcenter (GC). In this work, we analyze the gamma-ray data of the innermostregion (i.e., the inner 1$^\circ$) of the GC to search for potential line-likesignals from the BH spike. Such line-like signals could be generated in theprocess of DM particles annihilating into double photons. We adopt thegamma-ray data from the Dark Matter Particle Explorer (DAMPE). Although theDAMPE has a much smaller effective area than the Fermi-LAT, the gamma-ray linesearch can benefit from its unprecedented high energy resolution. Nosignificant line-like signals are found in our analysis. We derive upper limitson the cross section of the annihilation based on this non-detection. We findthat despite the DAMPE's small effective area for photon detection, we canstill place strong constraints on the cross section ($\left<\sigmav\right>\lesssim10^{-27}\,{\rm cm^3\,s^{-1}}$) in the spike scenario due to thevery bright model-expected flux from the spike. Our results indicate thateither DM does not annihilate primarily through the $\gamma\gamma$ channel inthe mass range we considered or no sharp density spike is present at the GC.

Search for gamma-ray line signals around the black hole at the galactic center with DAMPE observation