![]() Where pd is the momentum of the deuteron.įrom the conservation of energy equation, we can solve for md: Where pg is the momentum of the gamma ray.Īccording to the conservation of momentum principle, the total final momentum must be equal to zero, so we have: ![]() Since the gamma ray is massless, its momentum is given by: The total final momentum is the momentum of the deuteron and the momentum of the gamma ray. The total initial momentum is zero because the proton and neutron are at rest. Where md is the mass of the deuteron and Eg is the energy of the gamma ray.Īccording to the conservation of energy principle, the initial energy and final energy must be equal, so we have: The total final energy is the rest energy of the deuteron plus the energy of the gamma ray, which is given by: Where mp and mn are the masses of the proton and neutron, respectively, and c is the speed of light. ![]() The total initial energy is the rest energy of the proton and neutron, which is given by: To solve this problem, we can use the conservation of energy and conservation of momentum principles.
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