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Singularities of Scattering Amplitudes on Unphysical Sheets and Their Interpretation

Blankenbecler, R. and Goldberger, M. L. and MacDowell, S. W. and Treiman, S. B. (1961) Singularities of Scattering Amplitudes on Unphysical Sheets and Their Interpretation. Physical Review, 123 (2). pp. 692-699. ISSN 0031-899X. http://resolver.caltech.edu/CaltechAUTHORS:20120815-141436581

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Abstract

The analytic structure of two-particle scattering amplitudes on the unphysical sheet of the Riemann surface reached by crossing the two-particle cut is discussed. The singularities of the amplitudes there are shown to be poles and their physical interpretation is studied. The way in which bound states appear on the physical sheet in the Mandelstam representation, both as isolated poles and as cuts, is traced in detail. The properties of partial wave amplitudes and of the full amplitude as a function of energy and angle and of energy and momentum transfer are discussed. Finally, a few remarks are made in connection with unstable states.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRev.123.692DOIUNSPECIFIED
http://link.aps.org/doi/10.1103/PhysRev.123.692PublisherUNSPECIFIED
http://prola.aps.org/abstract/PR/v123/i2/p692_1PublisherUNSPECIFIED
Additional Information:© 1961 American Physical Society. Received 1 March 1961; published in the issue dated July 1961. Supported in part by the Air Force Office of Scientific Research, Air Research and Development Command.
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Air Force Office of Scientific Research (AFOSR)UNSPECIFIED
Record Number:CaltechAUTHORS:20120815-141436581
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20120815-141436581
Official Citation:Singularities of Scattering Amplitudes on Unphysical Sheets and Their Interpretation R. Blankenbecler, M. L. Goldberger, S. W. MacDowell, and S. B. Treiman pp. 692-699
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:33225
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:16 Aug 2012 17:36
Last Modified:26 Dec 2012 15:59

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