640 Particle Physics and CosmologyP46.53The total energy in neutrinos emitted per second by the Sun is:0 441 5101 11011223...a fejπ×LNMOQP=×WW.Over 109years, the Sun emits 3 61039.×Jin neutrinos. This represents an annihilated massm c2393 610=×.Jm=×4 01022.kg .About 1 part in 50 000 000of the Sun’s mass, over 109years, has been lost to neutrinos.P46.54ppp+→+++πXWe suppose the protons each have 70.4 MeV of kinetic energy. From conservation of momentum forthe collision, particle Xhas zero momentum and thus zero kinetic energy. Conservation of systemenergy then requiresM cM cMcM cKM cKXppppp22222++=+++πej ejMcM cKM cX2222938 32 70 4139 6939 5=+−=+−=ppMeVMeVMeVMeVπ....afXmust be a neutral baryon of rest energy 939.5 MeV. Thus Xis a neutron.*P46.55(a)If 2Nparticles are annihilated, the energy released is 22Nmc. The resulting photonmomentum is pEcNmccNmc===222. Since the momentum of the system is conserved, the
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