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
- Published Version
See Usage Policy.
Use this Persistent URL to link to this item: http://resolver.caltech.edu/CaltechAUTHORS:20120815-141436581
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.
|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.|
|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.|
|Deposited By:||Ruth Sustaita|
|Deposited On:||16 Aug 2012 17:36|
|Last Modified:||26 Dec 2012 15:59|
Repository Staff Only: item control page