Chapter 33: Q10CQ (page 1210)
What lifetime do you expect for an antineutron isolated from normal matter?
The lifetime of an antineutron isolated from normal matter is small and stable without any change.
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Explain how the weak force can change strangeness by changing quark flavor.
(a) What is the uncertainty in the energy released in the decay of a \({{\rm{\pi }}^{\rm{0}}}\)due to its short lifetime?
(b) What fraction of the decay energy is this, noting that the decay mode is \({{\bf{\pi }}^{\bf{0}}} \to {\bf{\gamma }}{\rm{ }} + {\rm{ }}{\bf{\gamma }}\) (so that all the \({\rm{\pi ^0}}\)mass is destroyed)?
Suppose a \[{{\rm{W}}^{\rm{ - }}}\]created in a bubble chamber lives for \[{\rm{5}}{\rm{.00 \times 1}}{{\rm{0}}^{{\rm{ - 25}}}}{\rm{\;s}}\]. What distance does it move in this time if it is traveling at \[{\rm{0}}{\rm{.900c}}\]? Since this distance is too short to make a track, the presence of the \[{{\rm{W}}^{\rm{ - }}}\]must be inferred from its decay products. Note that the time is longer than the given \[{{\rm{W}}^{\rm{ - }}}\]lifetime, which can be due to the statistical nature of decay or time dilation.
Why does the \({\eta ^0}\) meson have such a short lifetime compared to most other mesons?
One of the decay modes of the omega minus is \({\Omega ^ - } \to {\Xi ^0} + {\pi ^ - }\).
(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.
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