Online Physics Inelastic Scattering Experiment Homework Help
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One can perform deep inelastic scattering experiments using electrons, muons or neutrinos. Since electrons and muons will effectively interact via the electromagnetic interaction, they probe the electric charge distribution within the nucleon. Since neutrinos have no electric charge they will probe the distribution of matter independently of electric charge; in fact they interact via the weak interaction. The reason that neutrinos are interesting is that they can only exist with their spins parallel (“right-handed”) or antiparallel (“left-handed”) to their momentum, and they can be used to probe the existence of “right-handed” or “left-handed” objects within the nucleon. Since the weak interaction does not conserve parity (we will discuss what this means) right-handed and left-handed objects have different interactions.
1)Why does it not make sense to think of electrons or muons as intrinsically right or left handed?
2)Why did experiments at SLAC use electrons to probe nucleon structure, while Fermilab used muons? Think about how what particles are accelerated at SLAC and at Fermilab.
3)In deep inelastic scattering, the invariant mass of the final state hadronic system, W, is an indication of how inelastic the scattering is, and how “deeply” one is probing the nucleon structure. What are the maximum values of W that can be produced with electrons at SLAC and muons at Fermilab. You need to make some assumption about the maximum muon beam energy … Just assume that the muon energy is 1/3 of the proton energy of the Tevatron at Fermilab.
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4)The total cross section for deep inelastic scattering of electrons from protons is calculated in the quark-parton model to be just the cross section for scattering off of three quarks with electric charges of either 2/3 and -1/3. One averages over the quark charges, and assumes that the scattering is independent. When the first deep inelastic experiments were performed the fact that quarks carried the colour charge was unknown. Show that the quark-parton result is unchanged by the fact that each quark can carry any of three different colour charges, as long as the three colour charges are present in the proton in equal proportions.
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