EBK PHYSICS FOR SCIENTISTS & ENGINEERS
5th Edition
ISBN: 9780134296074
Author: GIANCOLI
Publisher: VST
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Chapter 43, Problem 60GP
To determine
The kinetic energy of each pion
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When a proton and an antiproton annihilate, the resulting energy can be used to create new particles. One possibility is the creation of electrically neutral particles called neutral pions. A neutral pion has a rest mass of 135 MeV/c2. How many neutral pions could be produced in the annihilation of a proton and an antiproton? Assume the proton and antiproton are moving very slowly as they collide.
a) A K° meson (mass 497.61 MeV/c2) decays to a t, T pair with a mean lifetime of 0.89 x
10-10 s. Suppose the K° has a kinetic energy of 276 MeV when it decays, and that the two
A mesons emerge at equal angles to the original K° direction.
Calculate the kinetic energy of each T meson and the opening angle between them. The
mass of a 7 meson is 139.57 MeV/c2.
A K0 particle at rest decays into a π+ and a π−. The mass of the K0 is 497.7 MeV/c2 and the mass of each pion is 139.6 MeV/c2. What will be the speed of each of the pions?
Chapter 43 Solutions
EBK PHYSICS FOR SCIENTISTS & ENGINEERS
Ch. 43 - Prob. 1QCh. 43 - If a proton is moving at very high speed, so that...Ch. 43 - Prob. 3QCh. 43 - Prob. 4QCh. 43 - Prob. 5QCh. 43 - Prob. 6QCh. 43 - Prob. 7QCh. 43 - Prob. 8QCh. 43 - Prob. 9QCh. 43 - Prob. 10Q
Ch. 43 - Prob. 11QCh. 43 - Prob. 12QCh. 43 - Prob. 13QCh. 43 - Prob. 14QCh. 43 - Prob. 15QCh. 43 - Prob. 16QCh. 43 - Prob. 17QCh. 43 - Prob. 18QCh. 43 - Prob. 19QCh. 43 - Prob. 20QCh. 43 - Prob. 6PCh. 43 - Prob. 7PCh. 43 - Prob. 14PCh. 43 - Prob. 15PCh. 43 - Prob. 16PCh. 43 - Prob. 17PCh. 43 - Prob. 18PCh. 43 - Prob. 19PCh. 43 - Prob. 20PCh. 43 - Prob. 21PCh. 43 - Prob. 27PCh. 43 - Prob. 28PCh. 43 - Prob. 32PCh. 43 - Prob. 50GPCh. 43 - Prob. 51GPCh. 43 - Prob. 52GPCh. 43 - Prob. 53GPCh. 43 - Prob. 57GPCh. 43 - Prob. 58GPCh. 43 - Prob. 59GPCh. 43 - Prob. 60GPCh. 43 - Prob. 61GP
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- The primary decay mode for the negative pion is +v . (a) What is the energy release in MeV in this decay? (b) Using conservation of momentum, how much energy does each of the decay products receive, given the is at rest when it decays? You may assume the muon antineutrino is massless and has momentum p = E/c , just like a photon.arrow_forwardA pion at rest (m = 273me) decays to a muon (m = 207me) and an antineutrino (mp 0). The reaction is written + v. Find (a) the kinetic energy of the muon and (b) the energy of the antineutrino in electron volts.arrow_forward(a) The following decay is mediated by the electroweak force: pn+e++ve Draw the Feynman diagram for the decay. (b) The following scattering is mediated by the electroweak force: ve+eve+e Draw the Feynman diagram for the scattering.arrow_forward
- The average lifetime of a pi meson in its own frame of reference is 2.6 × 10−8 s. If the meson moves with a speed of 0.95c, what is (a) its mean lifetime as measured by an observer on Earth and (b) the average distance it travels before decaying, as measured by an observer on Earth?arrow_forwardSuppose you are designing a proton decay experiment and you can detect 50 percent of the proton decays in a tank of water. (a) How many kilograms of water would you need to see one decay per month, assuming a lifetime of 1031 y? (b) How many cubic meters of water is this? (c) If the actual lifetime is 1033 y, how long would you have to wait on an average to see a single proton decay?arrow_forwardThe decay mode of the negative muon is (a) Find the energy released in MeV. (b) Verify that charge and lepton family numbers are conserved.arrow_forward
- When an electron and positron collide at the SLAC facility, they each have 50.0-GeV kinetic energies. What is the total collision energy available, taking into account the annihilation energy? Note that the annihilation energy is insignificant, because the electrons are highly relativistic.arrow_forwardA proton and an antiproton collide head-on, with each having a kinetic energy of 7.00 TeV (such as in the LHC at CERN). How much collision energy is available, taking into account the annihilation of the two masses? (Note that this is not significantly greater than the extremely relativistic kinetic energy.)arrow_forward(a) Is the decay possible considering the appropriate conservation laws? State why or why not. (b) Write the decay in terms of the quark constituents of the particles.arrow_forward
- 139, 6 MeV/c², resting in the laboratory, A pion of positive electric charge (n*) and mass m, = decays in a muon with the same electric charge (u*) and a neutrin of muon (v), The mass of the muon is equal to m, = 105,7 MeV/c² and that of the neutrin is practically null. a) Determine the muon speed according to an observer in the laboratory. b) What conservation laws should be considered in the present problem? Why?arrow_forwardSome GUT theories allow the proton to be unstable. What conservation laws are broken in the following proton decays? (a) p → π+ + ve bar (b) p → μ+ + π0 (c) p → e+ + K0 + vearrow_forward
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