Unsubtracted Dispersion Relations in Weak Interactions and the Goldberger-Treiman Relation
- 24 February 1964
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 133 (4B), B1092-B1104
- https://doi.org/10.1103/physrev.133.b1092
Abstract
A theory of weak interactions is formulated in terms of unsubtracted dispersion relations and is applied to the calculation of the decay amplitude. First, derivation of the Goldberger-Treiman relation is reexamined and the relationship between two different approaches, one by Goldberger and Treiman and the other by Gell-Mann and others, is studied based on Ida's formulation of this problem. Then, it is shown that a consistent use of unsubtracted dispersion relations for weak interactions leads us to an eigenvalue restriction to be imposed on the choice of the parameters in strong interactions.
Keywords
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