Book cover for Physics

Physics

Alan Giambattista, Betty McCarthy Richardson, Robert C. Richardson

ISBN #9780073404530

2nd Edition

2,795 Questions

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Summary

This chapter explores the fundamental constituents of matter — quarks and leptons — and how they combine to form hadrons. It delves into the four fundamental interactions, each mediated by specific exchange particles, and discusses the unification of forces, particularly the electroweak theory. Additionally, the role of particle accelerators in probing high-energy physics and examining early-universe conditions is highlighted. Key themes include quark confinement, the quest for supersymmetry, and the challenges of unifying gravity with quantum mechanics.

Learning Objectives

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Key Concepts

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Example Problems

Example 1

A pion (mass $0.140 \mathrm{GeV} / c^{2}$ ) at rest decays by the weak interaction into a muon of mass $0.106 \mathrm{GeV} / c^{2}$ and a muon antineutrino: $\pi^{-} \rightarrow \mu^{-}+\nabla_{\mu}$ Ignoring the rest energy of the antineutrino, what is the total kinetic energy of the muon and the antineutrino?

Example 2

Two factors that can determine the distance over which a force can act are the mass of the exchange particle that carries the force and the Heisenberg uncertainty principle $[\mathrm{Eq} .(28-3)] .$ Assume that the uncertainty in the energy of an exchange particle is given by its rest energy and that the particle travels at nearly the speed of light. What is the range of the weak force carried by the $\mathbf{Z}$ particle that has a mass of $92 \mathrm{GeV} / \mathrm{c}^{2} ?$ Compare this with the range of the weak force given in Table 30.3

Example 3

What is the quark content of an antiproton? [Hint: Replace each of the three quarks that compose a proton with its corresponding antiquark.]

Example 4

Show that the charge of the neutron and the charge of the proton can be derived from their constituent quark content.

Example 5

Which fundamental force is responsible for each of the decays shown here? [Hint: In each case, one of the decay products reveals the interaction force.] (a) $\pi^{+} \rightarrow$ $\mu^{+}+v_{\mu},$ (b) $\pi^{0} \rightarrow \gamma+\gamma(\mathrm{c}) \mathrm{n} \rightarrow \mathrm{p}^{+}+\mathrm{e}^{-}+\bar{v}_{\mathrm{e}}$

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