Chapter 33: Q16CQ (page 1211)
Beta decay is caused by the weak force, as are all reactions in which strangeness changes. Does this imply that the weak force can change quark flavor? Explain.
Short Answer
Yes, the weak force can change quark flavor.
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Chapter 33: Q16CQ (page 1211)
Beta decay is caused by the weak force, as are all reactions in which strangeness changes. Does this imply that the weak force can change quark flavor? Explain.
Yes, the weak force can change quark flavor.
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(a) Show that the conjectured decay of the proton, \({\rm{p}} \to {\pi ^{\rm{0}}}{\rm{ + }}{{\rm{e}}^{\rm{ + }}}\), violates conservation of baryon number and conservation of lepton number.
(b) What is the analogous decay process for the antiproton?
How can the lifetime of a particle indicate that its decay is caused by the strong nuclear force? How can a change in strangeness imply which force is responsible for a reaction? What does a change in quark flavor imply about the force that is responsible?
Explain how the weak force can change strangeness by changing quark flavor.
The primary decay mode for the negative pion \({\pi ^{\rm{ - }}} \to {{\rm{\mu }}^{\rm{ - }}}{\rm{ + }}{{\rm{\bar \upsilon }}_{\rm{\mu }}}\).
(a) What is the energy release in \({\rm{MeV}}\) in this decay?
(b) Using conservation of momentum, how much energy does each of the decay products receive, given the \({\pi ^{\rm{ - }}}\) is at rest when it decays? You may assume the muon antineutrino is massless and has momentum \(p = \frac{{{E_\nu }}}{c}\), just like a photon.
(a) Verify from its quark composition that the \({\rm{\Delta + }}\)particle could be an excited state of the proton.
(b) There is a spread of about \({\rm{100 MeV}}\) in the decay energy of the \({\rm{\Delta + }}\), interpreted as uncertainty due to its short lifetime. What is its approximate lifetime?
(c) Does its decay proceed via the strong or weak force?
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