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Why do proton and anti-proton annihilation can produce extra pions, in addition to the photons; whereas the electron and positron interaction only gives photons?
Proton and anti-proton annihilation can produce additional pions due to the strong interactions involved, unlike electron and positron interactions which primarily yield photons. The kinetic energy of the colliding particles plays a crucial role in determining the annihilation products, with higher energy allowing for the formation of various particles. The differences between electromagnetic and hadronic showers explain why proton collisions result in more pions compared to electron collisions, despite the ability to accelerate leptons to high energies. The underlying processes can be analyzed using Feynman diagrams and the standard model of particle physics.
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