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Chapter 39: Problem 50
A photon can interact with matter by producing a proton-antiproton pair. What is the minimum energy the photon must have?
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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.
Draw a Feynman diagram for an electron-proton scattering, \(e^{-}+p \rightarrow e^{-}+p\), mediated by photon exchange.
Draw possible Feynman diagrams for the following phenomena: a) protons scattering off each other b) neutron beta decays to a proton: \(n \rightarrow p+e^{-}+\bar{\nu}_{e}\).
In a positron annihilation experiment, positrons are directed toward a material such as a metal. What are we likely to observe in such an experiment, and how might it provide information about the momentum of electrons in the metal?
At about \(10^{-6}\) s after the Big Bang, the universe had cooled to a temperature of approximately \(10^{13} \mathrm{~K}\). a) Calculate the thermal energy. b) Explain what would happen to most of the hadronsprotons and neutrons. c) Explain also about the electrons and positrons in terms of temperature and time.
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