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Low-energy theorems, dispersion relations, and superconvergence sum rules for Compton scattering

Abarbanel, Henry D. I. and Goldberger, Marvin L. (1968) Low-energy theorems, dispersion relations, and superconvergence sum rules for Compton scattering. Physical Review, 165 (5). pp. 1594-1609. ISSN 0031-899X.

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A derivation of low-energy theorems for Compton scattering from spin-0 and spin-½ targets is given within the framework of dispersion theory. We work exclusively with physical helicity amplitudes and utilize the zeros of these amplitudes forced by angular momentum conservation to write unsubtracted dispersion relations. The conventional requirement of gauge invariance is replaced in our work by Lorentz in-variance together with the knowledge that the photon is a massless spin-1 particle. From the dispersion relations we extract a number of sum rules of the superconvergence type, one example of which reduces the Drell-Hearn result in the forward direction.

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Additional Information:©1968 The American Physical Society. Received 21 August 1967. It is a pleasure to thank Roger Dashen for several extremely important discussions. K. Bardakci, D. Z. Freedman, and especially S. B. Treiman have been kind enough to impress upon us the unimportant role of subtractions in establishing low-energy theorems. Supported in part by the U.S. Air Force Office Research, Air Research and Development Command under Contract No. AF49(638)-1545 and in part by a National Science Foundation Postdoctoral Fellowship.
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ID Code:6371
Deposited By: Tony Diaz
Deposited On:05 Dec 2006
Last Modified:26 Dec 2012 09:20

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