Electromagnetic structure of the nucleon
- Creators
- Federbush, P.
- Goldberger, M. L.
- Treiman, S. B.
Abstract
The electromagnetic structure of the nucleon is studied by using dispersion relation techniques. Contributions to the magnetic moments and mean square radii from the two-pion intermediate state are studied exhaustively. It is shown that the electromagnetic structure of the meson itself may play an important role here; this structure is also discussed. The two-pion state seems to account reasonably for the isotopic vector magnetic moment and magnetization mean square radius, but the charge-density radius appears to be much smaller than the currently accepted experimental value. As regards the isotopic scalar properties of the nucleon, we have studied the contributions from intermediate states with two K mesons and nucleon-antinucleon pairs (more generally baryon pairs). The K-meson state is treated by perturbation theory and found to have a small effect. By use of an argument based on the unitarity of the S matrix, it is shown that the pair contributions must be small. Certain general properties of the three-pion state, believed to be the most important contributor to isotopic scalar quantities, are discussed; but we are unable to make any quantitative statements.
Additional Information
© 1958 by The American Physical Society. Received 6 June 1958. It is a pleasure to acknowledge several useful conversations with Professor F.J. Dyson, Professor J.R. Oppenheimer, Dr. R. Oehme, and Dr. J.G. Taylor. In particular we are indebted to Professor Dyson for his help in solving the class of integral equations which have arisen in this work. We should like also to thank Professor G.F. Chew for advance communications concerning the results obtained by his group. Work supported in part by the Air Force Office of Scientific Research, Air Research and Development Command. This paper is based partially on a thesis submitted by one of the authors (P.F.) to Princeton University in partial fulfillment of the requirements for the Ph.D. degree. [P.F. was a] National Science Foundation Predoctoral Fellow.Files
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Additional details
- Eprint ID
- 10702
- Resolver ID
- CaltechAUTHORS:FEDpr58
- Created
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2008-06-06Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field