622 Particle Physics and CosmologyP46.2The minimum energy is released, and hence the minimum frequency photons are produced, whenthe proton and antiproton are at rest when they annihilate.That is, EE=0and K=0. To conserve momentum, each photon must carry away one-half theenergy.Thus,EEEhfmin.====22938 300MeVmin.Thus,fmin....=××⋅=×−−938 31 60 106626 10227 10133423MeVJ MeVJsHzafejλ××−cfmin...300 10132 1082315msHzm.P46.3In γ→++−pp,we start with energy2.09 GeVwe end with energy938.3 MeV + 938.3 MeV + 95.0 MeV + K2where K2is the kinetic energy of the second proton.Conservation of energy for the creation process givesK2118=MeV .Section 46.3Mesons and the Beginning of Particle PhysicsP46.4The reaction isµνν+→+emuon-lepton number before reaction:−+ =−101afafelectron-lepton number before reaction:
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