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Prog. Theor. Phys. Vol. 31 No. 2 (1964) pp. 213-221

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A New Triangle Relation for Nonleptonic Hyperon Decay Amplitudes as a Consequence of the Octet Spurion and the R Symmetry

Hirotaka Sugawara

Department of Physics, University of Tokyo, Tokyo

(Received October 22, 1963)

Abstract:

A triangle relation TΛ=2TΞ-+√3TΣ0 is obtained for the nonleptonic decay amplitudes of Λ→p+π-, Σ+→p+π0 and Ξ-→Λ+π-. This relation is shown to be in excellent agreement with the experiment especially when γΣ+→p+π0>0. The assumptions are the octet spurion hypothesis and the R symmetry.


URL : http://ptp.ipap.jp/link?PTP/31/213/
DOI : 10.1143/PTP.31.213

[ Full Text PDF : FREE ACCESS (400K) ] Citation:

References:

  1. M. Gell-Mann and A. H. Rosenfeld, Ann. Rev. Nucl. Sci. 7 (1957), 407.
  2. Y. Ne'eman, Nucl. Phys. 26 (1961), 222[CrossRef].
    M. Gell-Mann, Phys. Rev. 125 (1962), 1067[APS].
  3. M. Gell-Mann, CTSL-20.
  4. d'Espagnat and J. Prentki, Nuovo Cim. 24 (1962), 497.
    K. Fujii, D. Ito and O. Nagai, preprint.
  5. R. E. Behrends, J. Dreitlein, C. Fronsdal and B. W. Lee, Rev. Mod. Phys. 34 (1962), 1[APS].
  6. W. E. Humphrey and R. R. Ross, Phys. Rev. 127 (1962), 1305[APS].
  7. R. H. Dalitz, Report at the Conference on the Weak Interaction at Brookhaven in 1963.
  8. J. W. Cronin and O. E. Overseth, Phys. Rev. 129 (1963), 1795[APS].
  9. Beall et al. Phys. Rev. Lett. 8 (1962), 75[APS].
  10. J. J. Sakurai, private communication.
  11. For example see C. A. Levinson, H. J. Lipkin and S. Meshkov, Phys. Lett. 1 (1962), 44[CrossRef].
  12. H. Sugawara, preprint.

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