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in Physics by (75.2k points)

How much, in percent, does the threshold energy of gamma quantum exceed the binding energy of a deuteron (Eb = 2.2 MeV) in the reaction γ + H2  n + p?

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The formula does not apply here because the photon is always reletivistic. At threshold, the energy of the photon Eγ implies a momentum Eγ/c. The velocity of centre of mass with respect to the rest frame of initial H2 is

Since both n & p are at rest in CM frame at threshold, we write 

by conservation of energy. Since the first term is a small correction, we have

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