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The positron released from an atomic nucleus in positron emission (or beta plus decay) appears with high kinetic energy. It's moving very quickly, and because it is, it has an extremely low probability of actually interacting with that atom's electrons in mutual annihilation. That positron will undergo some scattering events to dump energy, and only then will the probability of it being able to actually "combine" with an electron increase to the point where it will actually do so.

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15y ago

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