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Chapter 39: Problem 2
Which of the following is a composite particle? (select all that apply) a) electron b) neutrino c) proton d) muon
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Evaluate the form factor and the Coulomb-scattering differential cross section \(d \sigma / d \Omega\) for a beam of electrons scattering off a thin spherical shell of total charge \(Z e\) and radius \(a\). Could this scattering experiment distinguish between the thin-shell and solid-sphere charge distributions? Explain.
Three hundred thousand years after the Big Bang, the average temperature of the universe was about \(3000 \mathrm{~K}\). a) At what wavelength of radiation would the blackbody spectrum peak for this temperature? b) To what portion of the electromagnetic spectrum does this correspond?
a) Calculate the kinetic energy of a neutron that has a de Broglie's wavelength of \(0.15 \mathrm{nm}\). Compare this with the energy of an X-ray photon that has the same wavelength. b) Comment on how this would be relevant for investigating biological samples with neutrons vs. X-rays.
If the energy of the virtual photon mediating an electronproton scattering, \(e^{-}+p \rightarrow e^{-}+p\), is given by \(E\), what is the range of this electromagnetic interaction in terms of \(E ?\)
The text describes and sketches the basic Feynman diagram for the fundamental process involved in the decay of the free neutron: One of the neutron's \(d\) -quarks converts to a \(u\) -quark, emitting a virtual \(W^{-}\) boson, which decays into an electron and an electron anti-neutrino (the only decay energetically possible). Similarly describe and sketch the basic (tree-level) Feynman diagram for the fundamental process involved in each of the following decays: a) \(\mu^{-} \rightarrow e^{-}+\nu_{\mu}+\bar{\nu}_{e}\) b) \(\tau^{-} \rightarrow \pi^{-}+\nu_{\tau}\) c) \(\Delta^{++} \rightarrow p+\pi^{+}\) d) \(K^{+} \rightarrow \mu^{+}+\nu_{\mu}\) e) \(\Lambda \rightarrow p+\pi\)
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