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Unformatted text preview: Physics 5110 Homework 13 (due Apr 21) April 14, 2010 1. Williams 12.2. 2. An neutrino of energy 10 GeV collides with a proton at rest producing a 9 GeV muon deflected at an angle of 0.01 radians away from the initial neutrino direction. Such a collision is used to probe the momentum distribution of down quarks in the proton. The collision takes place through the exchange of a W boson. In particular it probes down quarks with a fraction x of the protons momentum (viewed in a frame, such as the c.m. frame where the proton has high momentum). The purpose of this problem is to determine exactly what momentum fraction x is being probed by this collision. (a) Draw a diagram for the collision showing quark lines and the exchange of the vector boson. Label the vector boson line and the quark lines, paying attention to charge conservation. (b) Explain why up quarks are not probed. (c) Assign four-momentum p to the proton and four-momentum xp to the quark that is struck. The quantity x represents the fraction of the four-...
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