Two photons flying in opposite directions collide. Let E 1 and E 2 be their energies. (1)

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Two photons flying in opposite directions collide. Let E1 and E2 be their energies. 

(1) Find the minimum value of E1 to allow the process γ1 + γ2 → e+ + e- to occur if E2 = 10 eV. 

(2) Answer the same question if E1 = 2E2

(3) Find the centre of mass speed in the latter case. 

(4) Draw the lowest-order Feynman diagram of the process.

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