An unstable particle of mass M decays into two identical particles, each of mass m. Obtain an expression for the velocities of the two decay particles in the lab frame (a) if M is at rest in the lab and (b) if M has total energy 4mc^2 when it decays and the decay particles move along the direction of M.

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An unstable particle of mass M decays into two identical particles, each
of mass m. Obtain an expression for the velocities of the two decay particles in the lab frame

(a) if M is at rest in the lab and

(b) if M has total energy 4mc^2 when it decays and the decay particles move along the direction of M.

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