Modern Physics
Modern Physics
3rd Edition
ISBN: 9781111794378
Author: Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher: Cengage Learning
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Chapter 5, Problem 33P
To determine

The fractional uncertainty in the mass of the meson.

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A π0 meson is an unstable particle produced in high-energy particle collisions. Its rest energy is approximately 135 MeV, and it exists for a lifetime of only 8.70 × 10-17 s before decaying into two gamma rays. Using the uncertainty principle, estimate the fractional uncertainty Δm/m in its mass determination.
Most of the particles known to physicists are unstable. For example, the lifetime of the neutral pion,π0, is about 8.4x10-17 s. Its mass is 135.0 MeV/c2. a) What is the energy width of the π0 in its ground state? b) What is the relative uncertainty ∆m/m of the pion’s mass?
The muon is unstable and has a mean lifetime of about 2.2 microseconds. A muon is an elementary particle similar to the electron. with an electric charge of -1 e, but with a much greater mass. The mass of a muon is 0.1135u, where the Atomic mass unit u = 1.66 x 10^-27 kg. It decays into an electron and two neutrinos. What is the energy released in this decay (in MeV)? Recall 1 eV = 1.6 x 10^-19 J).
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