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Chapter 33: Q11CQ (page 1210)
Why does the \({\eta ^0}\) meson have such a short lifetime compared to most other mesons?
As, the \({\eta ^0}\) meson consists of quark-antiquark pairs of the same flavour, its lifetime is short.
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(a) What is the uncertainty in the energy released in the decay of a \(\tau {\rm{ }} - \)due to its short lifetime?
(b) Is the uncertainty in this energy greater than or less than the uncertainty in the mass of the tau neutrino? Discuss the source of the uncertainty.
The intensity of cosmic ray radiation decreases rapidly with increasing energy, but there are occasionally extremely energetic cosmic rays that create a shower of radiation from all the particles they create by striking a nucleus in the atmosphere as seen in the figure given below. Suppose a cosmic ray particle having an energy of \({\rm{1}}{{\rm{0}}^{{\rm{10}}}}{\rm{ GeV}}\)converts its energy into particles with masses averaging 200 MeV/c2
(a) How many particles are created?
(b) If the particles rain down on an \({\rm{1}}{\rm{.00 - k}}{{\rm{m}}^{\rm{2}}}\) area, how many particles are there per square meter?
The sigma-zero particle decays mostly via the reaction \[{{\rm{\Sigma }}^{\rm{0}}} \to {{\rm{\Lambda }}^{\rm{0}}}{\rm{ + \gamma }}\]. Explain how this decay and the respective quark compositions imply that the \[{{\rm{\Sigma }}^{\rm{0}}}\]is an excited state of the\[{{\rm{\Lambda }}^{\rm{0}}}\].
The quarks in a particle are confined, meaning individual quarks cannot be directly observed. Are gluons confined as well? Explain
If the Higgs boson is discovered and found to have mass, will it be considered the ultimate carrier of the weak force? Explain your response.
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