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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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An electron-positron pair, traveling toward each other with a speed of \(0.99 c\) with respect to their center of mass, collide and annihilate according to \(e^{-}+e^{+} \rightarrow \gamma+\gamma\). Assuming the observer is at rest with respect to the center of mass of the electron-positron pair, what is the wavelength of the photons?
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?
Suppose a neutral pion at rest decays into two identical photons. a) What is the energy of each photon? b) What is the frequency of each photon? c) To what part of the electromagnetic spectrum does this correspond?
Draw possible Feynman diagrams for the following phenomena: a) protons scattering off each other b) neutron beta decays to a proton: \(n \rightarrow p+e^{-}+\bar{\nu}_{e}\).
The de Broglie wavelength, \(\lambda\), of a 5-MeV alpha particle is \(6.4 \mathrm{fm}\), as shown in this chapter, and the closest distance, \(r_{\text {min }}\), to the gold nucleus this alpha particle can get is \(45.5 \mathrm{fm}\) (calculated in Example 39.1). Based on the fact that \(\lambda \ll r_{\text {min }}\), one can conclude that, for this Rutherford scattering experiment, it is adequate to treat the alpha particle as a a) particle. b) wave.
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