Neglecting the electron mass, the energy spectrum for the electrons emitted in muon decay is given by 

What is the most probable energy for the electron? Draw a diagram showing the orientation of the momenta of the three outgoing particles and their helicities for the case when E_e ‰ˆ m_μ/2. Show also the spin of the muon. Integrate the energy spectrum to obtain an expression for the total decay width of the muon. Hence calculate the muon lifetime in seconds.

Transcribed Image Text:

4Ee 2G E? 1- dw dEe (2т)3 Зтр