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A soluble problem in dispersion theory

Goldberger, M. L. and Treiman, S. B. (1959) A soluble problem in dispersion theory. Physical Review, 113 (6). pp. 1663-1669. ISSN 0031-899X. doi:10.1103/PhysRev.113.1663.

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The Lee model is modified by addition of a new field θ′ and a weak coupling N+θ→N+θ′, which leads to instability of the V particle: V→N+θ→N+θ′. The decay amplitude is calculated to lowest order in the weak coupling by dispersion relation methods. In effect we are required to study a set of simultaneous dispersion relations. The problem is completely soluble and serves to clarify the essential structure of dispersion methods. The results agree with what one obtains, more easily in the present case, by direct methods.

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Additional Information:©1959 The American Physical Society. Received 12 November 1958. Work supported in part by the Office of Scientific Research, Air Research and Development Command. We want to thank especially S. Barshay, N. Kroll, A. Pais, M. Ruderman, and J. C. Taylor for discussions and communications. We also thank R. Haag for informative discussions on the Lee model.
Issue or Number:6
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:7468
Deposited By: Tony Diaz
Deposited On:22 Feb 2007
Last Modified:08 Nov 2021 20:43

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