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twinklestar28
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Homework Statement
A particle decays to two photons. In the rest frame the two photons are emitted on the x-y plane, in opposite directions along a line that forms an angle alpha with the the x axis. Derive the momentum four vector of the two photons in the lab frame.
Homework Equations
The Attempt at a Solution
Photon 1 = (E1 sinθ1, E1 cos θ1 , 0 , E1)
Photon 2 = (-E2 sinθ2 , -E2 cos θ2 , 0 , E2)
I'm confused to what notations I should be using for the angles, can I use θ1 and θ2 for the angles of the two photons and then assume that alpha = (θ1+θ2) or is that the wrong way to go about it. Should alpha be in the vector equations?
Also I'm not sure if the signs are correct as the photons are moving in opposite direction in the x - y plane, could someone check my answer and point me in the right direction please :)