GR0877 Problem 40
PROBLEM STATEMENT: This problem is still being typed.
SOLUTION: (B) Conservation of momentum immediately suggests that after the decay particle and massless particle have the same momentum . From the relativistic energy-momentum equation (we use units in which ) one gets for massless particle. The conservation of energy: . Moving to the left-hand side and squaring results in or , from which one has . Clearly, the decay is possible if .
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