Chapter 32: Problem 34
(II) What quark combinations produce (a) a \(\Xi^0\) baryon and (b) a \(\Xi^-\) baryon?
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Chapter 32: Problem 34
(II) What quark combinations produce (a) a \(\Xi^0\) baryon and (b) a \(\Xi^-\) baryon?
These are the key concepts you need to understand to accurately answer the question.
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Which of the following reactions are possible, and by what interaction could they occur? For those forbidden, explain why. (a) \(\pi^- + p \rightarrow K^+ + \Sigma^-\) (b) \(\pi^+ + p \rightarrow K^+ + \Sigma^+\) (c) \(\pi^- + p \rightarrow \Lambda^0 + K^0 + \pi^0\) (d) \(\pi^+ + p \rightarrow \Sigma^0 + \pi^0\) (e) \(\pi^- + p \rightarrow p + e^- + \overline{\nu}_e\)
For the reaction \(p + p \rightarrow 3p + \overline{p}\), where one of the initial protons is at rest, use relativistic formulas to show that the threshold energy is \(6m_pc^2\), equal to three times the magnitude of the \(Q\)-value of the reaction, where \(m_p\) is the proton mass. [\(Hint\): Assume all final particles have the same velocity.]
(III) Show that the energy of a particle (charge \(e\)) in a synchrotron, in the relativistic limit \((\upsilon \approx c)\), is given by \(E\) (in eV) \(= Brc\), where \(B\) is the magnetic field and \(r\) is the radius of the orbit (SI units).
(I) What is the total energy of a proton whose kinetic energy is 4.65 GeV?
(II) What strength of magnetic field is used in a cyclotron in which protons make \(3.1 \times 10^7\) revolutions per second?
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