Final answer:
The characteristic γ-ray energy one would look for in proton-antiproton annihilation is 938 MeV; much greater than the 0.511-MeV energy from electron-positron annihilation due to the proton's larger rest mass.
Step-by-step explanation:
When a particle and its antiparticle annihilate, they convert their entire rest mass into energy in the form of γ rays. For proton-antiproton annihilation, each γ ray would carry an energy equivalent to the rest mass energy of the proton (or antiproton), which is approximately 938 MeV.
Therefore, the characteristic γ-ray energy you would look for if searching for evidence of proton-antiproton annihilation is (a) 938 MeV. This energy release is significantly higher than the 0.511-MeV energy associated with electron-positron annihilation, which occurs because the rest mass of a proton is much greater than that of an electron.