How do I write a nuclear equation for the annihilation of a positron?

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To write a nuclear equation for the annihilation of a positron and an electron, it is essential to include the resulting energy in the form of photons. When they annihilate, they produce two photons, each with an energy of 511 keV, which conserves both energy and momentum. The equation should reflect the initial particles on one side and the two photons on the other. The photons are emitted in opposite directions, maintaining the system's momentum. This process highlights the principles of conservation in particle interactions.
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How do I write a nuclear equation representing the annihilation of a positron with an electron?

Do they just cancel out? or do I write energy on the left hand side of the equation?
 
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When an electron and a positron annihilate each other, they produce a pair of photons. The photons conserve energy, and by having two of them, they conserve the momentum of the initial particles as well.
 
When you work in the center of mass sytem, you will get a pair of 511 kev photons going off in opposite directions - the direction is otherwise free.
 

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