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Application of dispersion relations to pion-nucleon scattering

Goldberger, M. L. and Miyazawa, H. and Oehme, R. (1955) Application of dispersion relations to pion-nucleon scattering. Physical Review, 99 (3). pp. 986-988. ISSN 0031-899X. http://resolver.caltech.edu/CaltechAUTHORS:GOLpr55a

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Abstract

The generalized Kramers-Kronig dispersion relations for charged bosons are used to treat the problem of pion-nucleon scattering. The complications associated with the charge of the pions are discussed. The importance of a "bound state" corresponding to the neutron is emphasized and its constrbution to the scattering amplitude is computed rigorously, assuming only that pions are pseudoscalar and that the interaction with nucleons is charge-independent. The connection between our exact dispersion relations and the approximate equations for pion-nucleon scattering given by Low is discussed. A rigorous effective-range relation is derived.


Item Type:Article
Additional Information:©1955 The American Physical Society. Received 20 April 1955. Supported in part by a grant from the U.S. Atomic Energy Commission.
Record Number:CaltechAUTHORS:GOLpr55a
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:GOLpr55a
Alternative URL:http://dx.doi.org/10.1103/PhysRev.99.986
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:7457
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:21 Feb 2007
Last Modified:26 Dec 2012 09:32

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