When high-energy particles decay, the decay products emerge predominantly at very small angles θ_Lto the initial beam direction. Verify this by showing that for decays of the form

b(E_L, p_L) †’ P(E, q) + · · ·

the decay angle θL defined by

p_L · q = |pL | |q| cos θ_L

is given at high beam energies E >> m_bc² by

where u is the magnitude of the velocity of particle P in the laboratory frame and θ_C is the decay angle in the rest frame of the decaying particle.

Transcribed Image Text:

тьс? u sin Oc V2EL u cos Oc+c tan OL