All Problems

Elementary Particles

Problem 6.293

Negative pions with kinetic energy T=100MeVT=100 \mathrm{MeV} travel an average distance l=11 ml=11 \mathrm{~m} from their origin to decay. Find the proper lifetime of these pions.

Reveal Answer
τ0=lmc/T(T+2mc2)=26 ns, where m is the rest mass of a pion\tau_{0}=l m c / \sqrt{T\left(T+2 m c^{2}\right)}=26 \mathrm{~ns}, \text { where } m \text { is the rest mass of a pion}
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