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This chapter begins with an introduction to the notion of form factors and structure functions which play a central role in all electromagnetic and weak processes involving hadrons. As functions of the Lorentz-invariant momentum transfer q 2, form factors parameterize the interactive effects of the constituents of the hadrons. First, we give an intuitive physical interpretation of the electromagnetic form factor as the charge distribution of the hadron and associate its slope with the hadron size. Next, we look at the form factors of the weak interaction. Their normalization and dependence on q 2 are also discussed. A brief survey is made of their analytic property through dispersion relations and pole dominance. The nucleon form factors can be measured by elastic lepton-nucleon scattering, and the physical meaning of each term in the Rosenbluth formula for the cross-section is explained in detail.
KeywordsForm Factor Deep Inelastic Scattering Anomalous Magnetic Moment Electromagnetic Form Factor Pion Form Factor
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Suggestions for Further Reading
General reading, form factors, elastic e-N scattering
- Bjorken, J. D. and Drell, S., Relativistic Quantum Mechanics. McGraw-Hill, New York 1964Google Scholar
- De Wit, B. and Smith, J., Field Theory in Particle Physics (Vol. I ). North-Holland, Amsterdam 1986Google Scholar
- Hofstadter, R. (ed.), Electron Scattering and Nuclear and Nucleon Structure. Benjamin, New York 1964Google Scholar
- Perl, M. L., High Energy Hadron Physics. Wiley-Interscience, New York 1974Google Scholar
Deep inelastic e—N scattering, Bjorken scaling, parton model
- Bjorken, J. D., Phys. Rev. 179 (1969) 1547Google Scholar
- Drell, S., Peccei, R. and Taylor, R., in Lepton—Hadron Scattering, Proc. 19th SLAC Summer Institute on Particle Physics (ed. Hawthorne, J.). SLAC Report-398, Stanford 1991Google Scholar
- Feynman, R. P., Photon—Hadron Interactions. Benjamin, Reading, MA 1972Google Scholar
- Halzen, F. and Martin, A., Quarks and Leptons: An Introductory Course in Modern Particle Physics. Wiley, New York 1984Google Scholar
- Quigg, C., Gauge Theories of Strong, Weak and Electromagnetic Interactions. Addison-Wesley, Reading, MA 1983Google Scholar