Chapter 33: Q22CQ (page 1211)
Suppose leptons are created in a reaction. Does this imply the weak force is acting? (for example, consider \(\beta \)decay.)
Yes, creation of leptons in a reaction signifies action of weak force.
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The \[{{\rm{\pi }}^{\rm{0}}}\]is its own antiparticle and decays in the following manner: \[{\pi ^0} \to \gamma + \gamma \]. What is the energy of each \[\gamma \]ray if the \[{\pi ^0}\] is at rest when it decays?
Plans for an accelerator that produces a secondary beam of \({\rm{K}}\)-mesons to scatter from nuclei, for the purpose of studying the strong force, call for them to have a kinetic energy of \({\rm{500 MeV}}\).
(a) What would the relativistic quantity \(\gamma {\rm{ = }}\frac{{\rm{1}}}{{\sqrt {{\rm{1 - }}{{{{\rm{\nu }}^{\rm{2}}}} \mathord{\left/{\vphantom {{{{\rm{\nu }}^{\rm{2}}}} {{{\rm{c}}^{\rm{2}}}}}} \right. \\} {{{\rm{c}}^{\rm{2}}}}}} }}\) be for these particles?
(b) How long would their average lifetime be in the laboratory?
(c) How far could they travel in this time?
There are particles called \({\rm{D}}\)-mesons. One of them is the \({{\rm{D}}^{\rm{ + }}}\) meson, which has a single positive charge and a baryon number of zero, also the value of its strangeness, topness, and bottomness. It has a charm of \({\rm{ + 1}}\). What is its quark configuration?
(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.
(a) Is a hadron always a baryon?
(b) Is a baryon always a hadron?
(c) Can an unstable baryon decay into a meson, leaving no other baryon?
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