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Structure of the Forward Scattering Amplitude

Deser, S. and Gilbert, W. and Sudarshan, E. C. G. (1960) Structure of the Forward Scattering Amplitude. Physical Review, 117 (1). pp. 266-272. ISSN 0031-899X. http://resolver.caltech.edu/CaltechAUTHORS:20170412-164704691

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Abstract

The matrix elements of various products of two currents between states of equal energy-momentum are studied. Use of the axioms of local field theory leads to an integral representation for the Fourier transform of matrix elements of the retarded commutator in terms of two invariant momentum parameters. Further restriction on the class of allowed functions permits explicit incorporation of the mass restrictions as support conditions on the weight function. The "bound-state" term is separated off and related to the vertex functions. As a simple application, forward-scattering dispersion relations are derived by specialization of the Green's function. In particular, these can be obtained for nucleon-nucleon and K-meson-nucleon scattering.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://dx.doi.org/10.1103/PhysRev.117.266DOIArticle
https://journals.aps.org/pr/abstract/10.1103/PhysRev.117.266PublisherArticle
ORCID:
AuthorORCID
Deser, S.0000-0001-9285-9434
Additional Information:© 1960 American Physical Society. (Received May 15, 1959) Supported in part by Air Force Office of Scientific Research (ARDC).
Funders:
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR)UNSPECIFIED
Record Number:CaltechAUTHORS:20170412-164704691
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20170412-164704691
Official Citation:Structure of the Forward Scattering Amplitude S. Deser, W. Gilbert, and E. C. G. Sudarshan Phys. Rev. 117, 266
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:76542
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:17 Apr 2017 15:17
Last Modified:13 Feb 2019 18:03

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