2) [15 points] A particle originally at rest and with initial rest energy m = m+AE...

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2) [15 points] A particle originally at rest and with initial rest energy m = m+AE emits a photon and decays to a particle of rest energy m. What is the energy of the photon? Check explicitly the limiting cases m >> AE, and m = 0. (c = 1 here). Analogs of these cases are the decay of the 2P state of hydrogen to the 1S state, and the decay Higgs YY. 2) [15 points] A particle originally at rest and with initial rest energy m = m+AE emits a photon and decays to a particle of rest energy m. What is the energy of the photon? Check explicitly the limiting cases m >> AE, and m = 0. (c = 1 here). Analogs of these cases are the decay of the 2P state of hydrogen to the 1S state, and the decay Higgs YY.