 Solution

ID: past-exam-of-the-particle-physics-course-of-the-university-of-oxford/2021/2/a/solution

(+, -, -, -)

and choose the incoming electron along

+ z

, with the scattered electron in the

x z

p_{1} = (E, 0, 0, E), p_{2} = (m_{p}, 0, 0, 0), p_{3} = (E^{'}, E^{'} sin θ, 0, E^{'} cos θ) .

The momentum transfer entering the proton is therefore

q = p_{1} - p_{3} = (E - E^{'}, - E^{'} sin θ, 0, E - E^{'} cos θ) .

The outgoing hadronic system carries

p_{X} = p_{2} + q

ν = E - E^{'}

, while

q

need not point along the original beam.

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