Chapter 33: Q32CQ (page 1211)
Gluons and the photon are massless. Does this imply that the W+. W- and Z0 are the ultimate carriers of the weak force?
The fact that gluons and photons have no mass does not imply that \({W^ + },{W^ - }\)and \({Z^0}\) are the ultimate carriers of the weak force.
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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?
The quarks in a particle are confined, meaning individual quarks cannot be directly observed. Are gluons confined as well? Explain
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.
What is the wavelength of an \({\rm{50 - GeV}}\) electron, which is produced at SLAC? This provides an idea of the limit to the detail it can probe.
Is the decay \({\rm{n}} \to {{\rm{e}}^{\rm{ + }}}{\rm{ + }}{{\rm{e}}^{\rm{ - }}}\)possible considering the appropriate conservation laws? State why or why not.
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