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Bound-State Model of Weak and Strong Interactions

Albright, C. H. and Blankenbecler, R. and Goldberger, M. L. (1961) Bound-State Model of Weak and Strong Interactions. Physical Review, 124 (2). pp. 624-636. ISSN 0031-899X. http://resolver.caltech.edu/CaltechAUTHORS:ALBpr61

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Abstract

The pion-nucleon coupling constant is calculated from first principles by use of the N/D matrix method. Three models are introduced which contain pions, nucleons, and weakly interacting intermediate bosons of the scalar, pseudoscalar, and vector variety. The basic interactions are taken to be parity and isotopic spin conserving. Certain physical assumptions in the nature of boundary conditions and the known fact that the weak coupling is very weak, together with use of the Born approximation for N, enable us to obtain an eigenvalue equation which expresses the pion-nucleon coupling constant in terms of the three masses in the problem. The correct value for gπ^2 can be obtained for an intermediate vector meson of mass comparable to the nucleon mass with essentially no cutoff employed; on the other hand, the experimental value is also obtained with a spin-zero boson and a relatively small cutoff energy.


Item Type:Article
Additional Information:©1961 The American Physical Society Received 13 June 1961 Supported in part by the U.S. Atomic Energy Commission and the Air Force Office of Scientific Research, Air Research and Development Command.
Record Number:CaltechAUTHORS:ALBpr61
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:ALBpr61
Alternative URL:http://dx.doi.org/10.1103/PhysRev.124.624
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:7048
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:06 Jan 2007
Last Modified:26 Dec 2012 09:28

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