Testing the Millisecond Pulsar Scenario of the Galactic Center Gamma-Ray Excess With Very High Energy Gamma-Rays

The recent analyses of the Fermi Large Area Telescope data show an extended GeV -ray excess on top of the expected diffuse background in the Galactic center region, which can be explained with annihilating dark matter or a population of millisecond pulsars (MSPs). We propose to observe the very high energy -rays for distinguishing the MSP scenario from the dark matter scenario. The GeV -ray MSPs should release most energy to the relativistic e^ wind, which will diffuse in the Galaxy and radiate TeV -rays through inverse Compton scattering and bremsstrahlung processes. By calculating the spectrum and spatial distribution, we show that such emission is detectable with the next generation very high energy -ray observatory, the Cherenkov Telescope Array (CTA), under reasonable model parameters. It is essential to search for the multi-wavelength counterparts to the GeV -ray excess for solving this mystery in the high energy universe.