In frame S, a particle of mass M travels along the x-axis with velocity v. It decays into two photons of equal energy that travel in the x-y plane. What are the energies of the photons, and what directions do they move in?

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In frame S, a particle of mass M travels along the x-axis with velocity v. It
decays into two photons of equal energy that travel in the x-y plane. What are the energies of the photons, and what directions do they move in?

Hint:

Solve the problem in the rest frame of the particle, then use an appropriate Lorentz transformation.

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