Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
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Chapter 39, Problem 55P
To determine
The life time of
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The Σ* particle has a rest energy of 1385 MeV and a lifetime
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Provide the answers in 90 minutes, and count as 2 questions if needed.
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?
Chapter 39 Solutions
Essential University Physics (3rd Edition)
Ch. 39 - Prob. 1FTDCh. 39 - Prob. 2FTDCh. 39 - Prob. 3FTDCh. 39 - Prob. 4FTDCh. 39 - Prob. 5FTDCh. 39 - Prob. 6FTDCh. 39 - Prob. 7FTDCh. 39 - Prob. 8FTDCh. 39 - Name the fundamental force involved in (a) binding...Ch. 39 - Prob. 10FTD
Ch. 39 - Prob. 11FTDCh. 39 - Prob. 12FTDCh. 39 - Prob. 13FTDCh. 39 - Prob. 14FTDCh. 39 - Describe the origin of the cosmic microwave...Ch. 39 - Prob. 16FTDCh. 39 - Prob. 17FTDCh. 39 - The radiation that we observe as the cosmic...Ch. 39 - Prob. 19FTDCh. 39 - Prob. 20FTDCh. 39 - Prob. 21ECh. 39 - Prob. 22ECh. 39 - Prob. 23ECh. 39 - Prob. 24ECh. 39 - Prob. 25ECh. 39 - Prob. 26ECh. 39 - Prob. 27ECh. 39 - Prob. 28ECh. 39 - Prob. 29ECh. 39 - Prob. 30ECh. 39 - Prob. 31ECh. 39 - Prob. 32ECh. 39 - Prob. 33ECh. 39 - Prob. 34ECh. 39 - Prob. 35ECh. 39 - Prob. 36ECh. 39 - Prob. 37ECh. 39 - Prob. 38PCh. 39 - Prob. 39PCh. 39 - Prob. 40PCh. 39 - Prob. 41PCh. 39 - Prob. 42PCh. 39 - Prob. 43PCh. 39 - Prob. 44PCh. 39 - Prob. 45PCh. 39 - Prob. 46PCh. 39 - Prob. 47PCh. 39 - Prob. 48PCh. 39 - Prob. 49PCh. 39 - Prob. 50PCh. 39 - Prob. 51PCh. 39 - Prob. 52PCh. 39 - Prob. 53PCh. 39 - Prob. 54PCh. 39 - Prob. 55PCh. 39 - Prob. 56PCh. 39 - Prob. 57PCh. 39 - Prob. 58PCh. 39 - Prob. 59PCh. 39 - Prob. 60PCh. 39 - Prob. 61PPCh. 39 - Prob. 62PPCh. 39 - Prob. 63PPCh. 39 - Prob. 64PP
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- (a) What is the uncertainty in the energy released in the decay of a due to its short lifetime? (b) What traction of the decay energy is this, noting that the decay mode is (so that all the mass is destroyed)?arrow_forwardThe range of the nuclear strong force is believed to be about 1.2 x 10-15 m. An early theory of nuclear physics proposed that the particle that “mediates” the strong force (similar to the photon mediating the electromagnetic force) is the pion. Assume that the pion moves at the speed of light in the nucleus, and calculate the time ∆t it takes to travel between nucleons. Assume that the distance between nucleons is also about 1.2 x 10-15 m. Use this time ∆t to calculate the energy ∆E for which energy conservation is violated during the time ∆t. This ∆E has been used to estimate the mass of the pion. What value do you determine for the mass? Compare this value with the measured value of 135 MeV/c2 for the neutral pion.arrow_forwardWhat is the approximate uncertainty in the mass of a muon, as determined from its decay lifetime?arrow_forward
- Theorists have had spectacular success in predicting previously unknown particles. Considering past theoretical triumphs, why should we bother to perform experiments?arrow_forwardThe lifetime of a muon is 2.20 ?s. If you measured its mass to be 105.7 MeV/c2, what would be the minimum (Heisenberg) uncertainty in this value? Sketch the situation, defining all of your variablesarrow_forward34. (a) A charged pi meson has a rest energy of 140 MeV and a lifetime of 26 ns. Find the energy uncertainty of the pi meson, expressed in MeV and also as a fraction of its rest energy. (b) Repeat for the uncharged pi meson with a rest energy of 135 MeV and a lifetime of 8.3 x 10" s. (c) Repeat for the rho meson with a rest energy of 765 MeV and a lifetime of 4.4 x 10 s.arrow_forward
- The Z0 boson, discovered in 1985, is the mediator ofthe weak nuclear force, and it typically decays very quickly.Its average rest energy is 91.19 GeV, but its short lifetimeshows up as an intrinsic width of 2.5 GeV. What is the lifetime of this particle?arrow_forward(a) Use the Heisenberg uncertainty principle to calculate the uncertainty in energy for a corresponding time interval of 10−43 s . (b) Compare this energy with the 1019 GeV unification-of-forces energy and discuss why they are similar.arrow_forwardA pion and a proton can briefly join together to form a delta particle. A measurement of the energy of the system shows a peak at 1236 MeV, corresponding to the rest energy of the delta particle, with an experimental spread of 120 MeV. What is the lifetime of the delta particle?arrow_forward
- An Ω- particle has rest energy 1672 MeV and mean lifetime 8.2x10-11 s. It is created and decays in a particle track detector and leaves a track 24 mm long. What is the total energy of the Ω- particle?arrow_forwardFind the mass and lifetime for muons, neutral and charged pions, neutrons. Then calculate the mean free path before these particle decay at a kinetic energy of 1200 MeV. Using PDG values.arrow_forwardA 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.arrow_forward
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