Chapter 33: Q27CQ (page 1211)
Discuss the similarities and differences between the photon and the Z0in terms of particle properties, including forces felt.
The similarities and differences between photons and Z0 are mentioned below.
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(a) What particle has the quark composition \({\rm{\bar u \bar u \bar d}}\)?
(b) What should its decay mode be?
Identify evidence for electroweak unification.
(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)?
One decay mode for the eta-zero meson is\({{\rm{\eta }}^{\rm{0}}} \to {\rm{\gamma + \gamma }}\).
(a) Find the energy released.
(b) What is the uncertainty in the energy due to the short lifetime?
(c) Write the decay in terms of the constituent quarks.
(d) Verify that baryon number, lepton numbers, and charge are conserved.
Repeat the previous problem for the decay mode
\({{\rm{\Omega }}^{\rm{ - }}} \to {{\rm{\Lambda }}^{\rm{0}}}{\rm{ + }}{{\rm{K}}^{\rm{ - }}}{\rm{. }}\)
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