### TEST OF GLOBAL SYMMETRY IN K$sup -$-p REACTIONSTEST OF GLOBAL SYMMETRY IN K$sup -$-p REACTIONS

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 Author Ross, M. H. ♦ Shaw, G. L. Source United States Department of Energy Office of Scientific and Technical Information Content type Text Language English
 Subject Keyword PHYSICS ♦ BARYONS ♦ CROSS SECTIONS ♦ ELECTRIC CHARGES ♦ HYPERONS ♦ INTERACTIONS ♦ KAONS ♦ NUCLEONS ♦ PARTICLE MODELS ♦ PRODUCTION ♦ PROTONS ♦ SCATTERING ♦ SIGMA PARTICLES ♦ SIGMA-MINUS ♦ SIGMA-NEUTRAL ♦ SIGMA-PLUS ♦ SPECTRAL SHIFT ♦ SYMMETRY Abstract A method of testing the hypothesis that there is global semetry of the pion-baryon interaction is proposed. Upon analyzing low-energy K/sup -/ -p scattering data, a variety of scattering length solutions were found which are compatible with the elastic scattering, charge exchange scattering, and total charged hyperon production, The method involves the use of the experimental SIGMA /sup +// SIGMA /sup -/ ratios to test the global symmetry hypothesis (or any other quantitative description of the pion-hyperon interaction), to reduce the ambiguity in the K-N scattering length solutions, hence, to predict the SIGMA /sup 0/ cross section. If there is global symmetry of pion-baryon interactions, then the pi -Y phases in the absence of a K-N reaction channel, It is shown how the actual pi -Y phase shifts can be obtained, in a nonperturbative manner, from idealized pi -Y phases (i.e., in the absence of K-N reactions) and the K- N scattering lengths, Earlier proposals making use of the dependence of the hyperon production ratios on the pi -Y phase shifts are also examined in terms of this result, certain fits to the present rough data with scattering lengths of negative real part are shown to be incompatible with global symmetry, The proposed analysis involves the assumption that the K is an isotopic doublet. (auth) ISSN 0031899X Educational Use Research Learning Resource Type Article Publisher Date 1959-09-15 Publisher Department Indiana Univ., Bloomington Journal Physical Review Volume Number 115 Organization Indiana Univ., Bloomington