Question

Two particles are moving with relativistic velocities in directions at right angles, they have momenta p₁ and p₂ and total energies E₁ and E₂. If they are the sole products of disintegration of a heavier object, what was the rest mass, velocity and direction of motion?

Answer 1

M₀β_γ = p₁sinθ + p₂cosθ (momentum conservation along x-axis) (1) 

p₁cosθ = p₂sinθ (momentum conservation along y-axis) (2) 

M_0γ = E₁ + E₂ (Energy conservation) (3)