Chapter 39: Problem 32
A proton is made of two up quarks and a down quark (uud). Calculate its charge.
Over 30 million students worldwide already upgrade their learning with Vaia!
All the tools & learning materials you need for study success - in one app.
Get started for free
One of the elementary bosons that can mediate electroweak interactions is the \(Z^{0}\) boson, having the mass of \(91.1876 \mathrm{GeV} / \mathrm{c}^{2}\). Find the order of magnitude of the range of the electroweak interaction.
Draw a quark-level Feynman diagram for the decay of a neutral kaon into two charged pions: \(K^{0} \rightarrow \pi^{+}+\pi^{-}\).
If the energy of the virtual photon mediating an electron-proton scattering, \(e^{-}+p \rightarrow e^{-}+p\), is \(E\), what is the range of this electromagnetic interaction in terms of \(E ?\)
A Geiger-Marsden experiment, in which alpha particles are scattered off a thin gold film, is set up with two detectors at \(\theta_{1}=85.1^{\circ} \pm 0.9^{\circ}\) and \(\theta_{2}=62.9^{\circ} \pm 0.9^{\circ} .\) Assuming that the scattering obeys the Rutherford formula, what is the ratio of the measured intensities, \(I_{1} / I_{2} ?\)
Figure 39.34 shows a Feynman diagram for the fundamental process involved in the decay of a free neutron: One of the neutron's down quarks converts to an up quark, emitting a virtual \(W^{-}\) boson, which decays into an electron and an anti-electron-neutrino (the only decay energetically possible). Sketch the basic 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) \(\Lambda^{0} \rightarrow p+\pi\)
What do you think about this solution?
We value your feedback to improve our textbook solutions.
