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Published July 15, 1961 | public
Journal Article Open

Test of global symmetry in pion-baryon interactions by K-+p reactions

Abstract

Under the hypothesis that the K-meson interactions do not mask the symmetries of the pion-baryon interactions appreciably, the branching ratios of the K-+p reactions are studied to test the validity of global symmetry. The T-1-matrix formalism of Matthews and Salam is adopted to calculate the branching ratios. The new Dalitz-Tuan solutions for K̅ N scattering lengths, which incorporate the (K+, K0) mass difference and the new branching ratios of the various K-+p reactions, presented at Kiev, are adopted in the analysis. The errors in the experimental branching ratios are so chosen as to satisfy the Amati-Vitale inequality. It is found that the a- and b+ (also a+, though poorly) Dalitz-Tuan solutions can explain the branching ratios for K- captured at rest. The extension of the analysis to 30-Mev incident K- mesons under the zero-range approximation leads to very poor agreement with experiments.

Additional Information

© 1961 by The American Physical Society. Received 8 March 1961. The author wishes to thank Professor A. Salam for suggesting his investigation, when he was at the Summer School of Theoretical Physics, Boulder, Colorado, and to thank Professor W.E. Brittin for the hospitality at the Summer School. He is grateful to Professor G. Snow, Professor J. Sucher, and especially Professor M. Gell-Mann for many helpful comments and discussions.

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August 21, 2023
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