All Problems

Elementary Particles

Problem 6.292

Find the mean path travelled by pions whose kinetic energy exceeds their rest energy \(\eta=1.2\) times. The mean lifetime of very slow pions is \(\tau_{0}=25.5 \mathrm{~ns}\).

Reveal Answer
l=cτ0η(η+2)=15 m\langle l\rangle=c \tau_{0} \sqrt{\eta(\eta+2)}=15 \mathrm{~m}