homework3 - units of e, r in meters, and B in Tesla....

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Physics 751 Fall 2011 Problem Set #3 Due: 22 Sept. Please box your final answers. Do the recommended reading. Draw the Feynman diagrams for the following weak decays π + μ + + ν Λ → p + e + e K 0 + + + 0 + e + + e Draw the Feynman diagrams for the following strong decays ω 0 + + + 0 ρ 0 + + Δ ++ p + + A particle of mass m, charge q, and a momentum whose magnitude is p moves in a uniform magnetic field so that it’s momentum vector is perpendicular to the field direction. Find an expression for the magnitude of the momentum in terms of the radius of curvature, r, of the motion, m, q, and B. Write an expression that can be used as a “plug in formula” when you have/want p and m in GeV, q in
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Unformatted text preview: units of e, r in meters, and B in Tesla. Sometimes it is possible to differentiate between tracks due to relativistic pions, protons, and kaons in a bubble chamber by measuring the energies of the atomic electrons liberated during the ionization process (called delta rays). Show that the maximum energy that the delta ray can have is E = 2 2 m e v 2 , where , v refer to the relativistic particle and m e is the electron mass. For a beam momentum of 5 GeV/c, what is the minimum energy delta ray that must be observed to prove it was produced by a pion rather than a kaon or proton?...
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homework3 - units of e, r in meters, and B in Tesla....

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