Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 31, Problem 1CQ
To determine
The explanation for the decay to be fast or slow.
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You are working as an assistant for a physics professor. For an upcoming lecture, your professor asks you to prepare a presentation slide with the following two proposed reactions which might proceed via the strong interaction:(i) π- + p → K0 +Λ0(ii) π- + p → K0 + nOn the slide, the professor wishes for you to show the quark analysis of the reactions, and (a) identify which reaction is observed, and (b) explain why the other is not observed.
A neutral rho particle decays from rest into two pions through the
following decay reaction:
The masses of the particles are:
p° = 775 MeV/c?, Tt = 140 MeV/c², 7¯ = 140 MeV/c?,
What is the kinetic energy of the n+ immediately after the decay?
Express your answer in units of MeV.
Answer:
The reaction π− + p → K0 + Λ0 occurs with high probability, whereas the reaction π− + p → K0 + n never occurs. Analyze these reactions at the quark level. Show that the first reaction conserves the total number of each type of quark and the second reaction does not.
Chapter 31 Solutions
Principles of Physics: A Calculus-Based Text
Ch. 31.2 - Given the identification of the particles in...Ch. 31.5 - Prob. 31.2QQCh. 31.5 - Prob. 31.3QQCh. 31.5 - Prob. 31.4QQCh. 31.9 - Prob. 31.5QQCh. 31 - Prob. 1OQCh. 31 - Prob. 2OQCh. 31 - Prob. 3OQCh. 31 - Prob. 4OQCh. 31 - Prob. 5OQ
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- (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_forwardThe 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_forward(a) Is the decay possible considering the appropriate conservation laws? Stale why or why not. (b) Write the decay in terms of the quark constituents of the particles.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_forwardThe K0 meson is an uncharged member of the particle “zoo” that decays into two charged pions according to K0 → π+ + π−. The pions have opposite charges, as indicated, and the same mass, mπ = 140 MeV/c2. Suppose that a K0 at rest decays into two pions in a bubble chamber in which a magnetic field of 2.0 T is present (see Fig. P2.22). If the radius of curvature of the pions is 34.4 cm, find (a) the momenta and speeds of the pions and (b) the mass of the K0 meson.arrow_forward(a) What particle has the quark composition u-u-d? (b) What should its decay made be?arrow_forward
- A 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_forwardOne of the decay modes of the omega minus is (a) What is the change in strangeness? (b) Verify that baryon number and charge are conserved, while lepton numbers are unaffected. (c) Write the equation in terms of the constituent quarks, indicating that the weak force is responsible.arrow_forwardb) Neutral and charged pions decay in different ways: 7º → y + y and a → µ +ūµ. Which of the pions do you expect to have a longer life time and why? I need detailed answer with detailed explaation don't copy from anywherearrow_forward
- Two protons collide and form a neutral pion through this interaction: Proton + proton --> proton + proton + pion. Protons have a mass of 938 MeV/c2 and the pion 135 MeV/c2. In the scenario where both incident protons are moving with the same speed, in opposite directions, what is the minimum kinetic energy for the protons to have to be able to produce the neutral pion as described above? Thanksarrow_forwardWhen 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.arrow_forwardConsider a collider in which protons, rest mass 938.3 MeV/c², that are moving in the +x direction with a kinetic energy of 10 GeV are made to collide with antiprotons of an equal energy that are moving in the x direction. ii) What is the speed of the protons as measured in the laboratory? iii) What is the highest mass particle that could be created in a collision of a proton and antiproton? Now consider a fixed target experiment in which a beam of antiprotons is made incident upon a stationary proton target. iv) Use the Lorentz velocity transformation to determine the antiproton speed required. for the fixed target experiment to have the same particle creation capability as the collider. v) Convert this speed to a kinetic energy and comment on the result in the context of the use of colliders or fixed target devices for high energy physics.arrow_forward
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