Chapter 39: Problem 12
Why do we need higher-energy particle accelerators to explore fully the standard model?
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Chapter 39: Problem 12
Why do we need higher-energy particle accelerators to explore fully the standard model?
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(a) Find the relativistic factor \(\gamma\) for a 14 -TeV proton in the Large Hadron Collider. (b) Find the proton's speed, expressed as a decimal fraction of \(c,\) and accurate to 10 significant figures (you might need the binomial theorem here).
Are either or both of these decay schemes possible for the tau particle: (a) \(\tau^{-} \rightarrow e^{-}+\bar{\nu}_{e}+\nu_{\tau} ;\) (b) \(\tau^{-} \rightarrow \pi^{-}+\pi^{0}+\nu_{\tau} ?\)
Describe the relation between the strong force and the nuclear force.
Pions are the lightest mesons, with mass some 270 times that of the electron. Charged pions decay typically into a muon and a neutrino or antineutrino. This makes pion beams useful for producing beams of neutrinos, which physicists use to study those elusive particles. In a medical application during the late 20 th century, accelerator centers installed "biomedical beam lines" to test pions for cancer therapy. In these experiments, pions attached themselves to atomic nuclei within cancer cells. The nuclei would literally explode, delivering a "pion star" of cancer-killing nuclear debris. Unfortunately, results were not as encouraging as hoped, and enthusiasm for this technique has waned. The negative pion usually decays into a negative muon and one other particle. The other particle could be a. a proton. b. an antineutrino. c. a neutrino. d. an up quark.
Name the fundamental force involved in (a) binding of a proton and a neutron to make a deuterium nucleus; (b) decay of a neutron to a proton, an electron, and a neutrino; (c) binding of an electron and a proton to make a hydrogen atom.
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