Posted by walter on Tuesday, June 7, 2011 at 2:30pm.
It's easier to start with the second part of the question. The momentum of the poin is zero, so the sum of the momenta of the two photons (p1 and p2) is zero:
p1 + p2 = 0 ------->
p1 = - p2
Then because the energy of a photon with momentum p = |p| c, you see that the energies of the two photons are equal. The sum of the energies of the two photons has to be 135 MeV, because of energy conservation, so each photon has half this energy.
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