A hyperon decays as p + - ; its momentum in the L frame is p = 2 GeV. Take

A Λ hyperon decays as Λ → p + π^- ; its momentum in the L frame is p_Λ = 2 GeV. Take the direction of the Λ in the L frame as the x-axis. In the CM frame the angle of the proton direction with x is θ^*_p= 30. Find

(a) The energy and momentum of the Λ and the π in the CM frame;

(b) The Lorentz parameters for the L–CM transformation;

(c) The energy and momentum of the π, and the angle and momentum of the p in the L frame.