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- W35326799 abstract "The reasons for the large discrepancies in the magnitude of the ..pi..N sigma-commutator, sigma(..pi..N), obtained by several authors are discussed using dynamic theory of the ..pi..N scattering amplitude. With sigma(..pi..N) approximately 25 MeV this theory reproduces reasonably well both the experimental S-wave phase shifts at low energies and the amplitudes C approximately/sup(+)/(..nu..=0,t less than or equal to 0) determined by Langbein. In the method of Cheng and Dashen the value of sigma(..pi..N) is obtained from these amplitudes by extrapolation to t = 2m/sup 2//sub ..pi../. A study of the experimental D-wave ''scattering lengths'' implies that the coefficient of the term quadratic in t in the Hoehler expansion of C approximately/sup(+)/(0,t) is negative. Adding such a term to the results of the S-wave theory will tend to improve the agreement for C approximately/sup (+)/(0,t less than or equal to 0). These results suggest that the large ''world value'' sigma(..pi..N) = 65 +- 5 MeV obtained using the Cheng-Dashen method is a consequence of errors in the extrapolation of amplitudes to the unphysical point ..nu.. = 0, t = 2m/sup 2//sub ..pi../. Only the smaller value sigma(..pi..N) approximately 25 MeV appears to be consistent with the experimental data and theoretical constraints." @default.
- W35326799 created "2016-06-24" @default.
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- W35326799 date "1977-07-01" @default.
- W35326799 modified "2023-10-18" @default.
- W35326799 title "Pion--nucleon sigma-commutator. [S waves, phase shift, amplitudes]" @default.
- W35326799 doi "https://doi.org/10.2172/7211677" @default.
- W35326799 hasPublicationYear "1977" @default.
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