Model the beta decay reaction n → p + e + v̅_e as the abrupt  creation of an electron at t = 0 with constant velocity v = cβ.
(a) Find the angular distribution of energy radiated per unit frequency, dI/dΩ. Use θ for the angle between v  and the observation point.  
(b) Show that the total energy radiated per unit frequency is

(c) The fact that dI/dΩ and I (ω) are independent of frequency implies that the total amount of energy radiated is infinite. How must our model of beta decay be corrected to eliminate this unphysical behavior?

Transcribed Image Text:

Moq²c 1+ - Mon 2² [ = 2 In ( 1 + 8) -2]. 47² В I(w) = =