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Prog. Theor. Phys. Vol. 59 No. 1 (1978) pp. 199-207

[ Full Text PDF : FREE ACCESS (718K) ]

Nonleptonic Decays of 1/2+-Baryons and Pseudo-Connected-Line Diagrams. I

— In Case of 20′′-Dominance —

Yoshikazu Abe and Kanji Fujii

Department of Physics, Hokkaido University, Sapporo 060

(Received June 27, 1977)

Abstract:

Under the SU(4)-20′′-spurion dominance in nonleptonic weak decays, we investigate algebraic structures of the effective Hamiltonian Heff which describes the main features of the nonleptonic weak decays of ordinary baryons. When Heff is written by using 20′-baryon (1/2+) wave function of the form B[βγ]α, one can select out of Heff two terms which describe most simply the main features of the P-wave amplitudes for ordinary baryons. Only these terms are s-u dual in the sense of `pseudo-connected-line diagrams' (pseudo-CLD's) obtained by written CLD's with 4- and 4*-lines corresponding directly to the lower and the upper indices of B[βγ]α. By assuming Lee-Sugawara relation and s-u dual property of the P-wave amplitudes, various relations among ordinary and charmed baryon decays are derived. Comments on the parity-violating amplitudes are also given.


URL : http://ptp.ipap.jp/link?PTP/59/199/
DOI : 10.1143/PTP.59.199

[ Full Text PDF : FREE ACCESS (718K) ] Citation:

References:

  1. F. C. Chan, Nuovo Cim. A 45 (1966), 236.
    S. Badier, Phys. Lett. B 24 (1967), 157[CrossRef].
    M. Nakagawa and N. N. Trofimenkoff, Nucl. Phys. B 5 (1968), 93[CrossRef].
    A. Murayama, Prog. Theor. Phys. 39 (1968), 1546[PTP].
    Y. Koide, Prog. Theor. Phys. 39 (1968), 1598[PTP].
    D. Flamm and W. Majerotto, Proceedings of the Topical Conference on Weak Interactions, CERN, Geneva, Jan. 1969.
    C. Schmid, Phys. Lett. B 66 (1977), 353[CrossRef].
    H. Shimodaira, Prog. Theor. Phys. 58 (1977), 1248[PTP].
  2. H. Noda and F. Toyoda, Prog. Theor. Phys. 44 (1970), 811[PTP]; ibid. 45 (1971), 1634[PTP].
  3. G. Altarelli, N. Cabibbo and L. Maiani, Phys. Lett. B 57 (1975), 277[CrossRef].
    Y. Iwasaki, Phys. Rev. Lett. 34 (1975), 1407[APS].
  4. M. Katuya and Y. Koide, Lett. Nuovo Cim. 16 (1976), 357.
  5. M. Shin-mura, preprint DPNU-32 (1976).
    Y. Igarashi and M. Shin-mura, preprint RIFP-283, March 1977.
  6. K. Fujii, M. Katuya and A. Murayama, the contributed paper reported in the XV-th International Conference on High Energy Physics held at Kiev, Aug. & Sep. 1970.
  7. S. Naito, Prog. Theor. Phys. 54 (1975), 1487[PTP].
  8. M. Kobayashi, M. Nakagawa and H. Nitto, Prog. Theor. Phys. 47 (1972), 982[PTP].
  9. A. Murayama, Prog. Theor. Phys. 39 (1968), 1546[PTP].
  10. Y. Koide, Prog. Theor. Phys. 40 (1968), 898[PTP].
    M. Katuya and A. Murayama, Prog. Theor. Phys. 42 (1969), 980[PTP].
  11. M. Katuya, K. Fujii, S. Okubo and A. Murayama, Prog. Theor. Phys. 45 (1971), 1944[PTP].
  12. Z. Maki, Prog. Theor. Phys. 31 (1964), 331[PTP]; ibid. 31 (1964), 333[PTP].
    Z. Maki and Y. Ohnuki, Prog. Theor. Phys. 32 (1964), 144[PTP].
  13. A. Toda and A. Murayama, Prog. Theor. Phys. 39 (1968), 1289[PTP].
  14. M. Imoto and K. Nakamura, Prog. Theor. Phys. 45 (1971), 833[PTP].
  15. B. W. Lee, Phys. Rev. Lett. 12 (1964), 83[APS].
    H. Sugawara, Prog. Theor. Phys. 31 (1964), 213[PTP].
  16. M. Ikeda, Y. Miyachi and S. Ogawa, Prog. Theor. Phys. 24 (1960), 569[PTP]; ibid. 25 (1961), 121[PTP].
    Essentially the same idea has also been proposed by M. L. Good and M. M. Nieto, Phys. Rev. Lett. 20 (1968), 624[APS].
    See also K. Nishijima, Prog. Theor. Phys. 40 (1968), 912[PTP]; ibid. 41 (1968), 567[PTP].
  17. K. Fujii, Soryushiron Kenkyu (Kyoto) 38 (1968), B74.
    A. Murayama, Prog. Theor. Phys. 43 (1970), 125[PTP].
    M. Nakagawa, Soryushiron Kenkyu (Kyoto) 40 (1970), F30.
    K. Konno and K. Nakamura, Prog. Theor. Phys. 44 (1970), 1707[PTP].
    K. Kawarabayashi and S. Kitakado, Phys. Rev. Lett. 23 (1970), 440 [APS][ Errata; 23 (1970), 1007[APS]].
    M. Nakagawa, Prog. Theor. Phys. 45 (1971), 1990[PTP].
    S. Ogawa, Prog. Theor. Phys. 46 (1971), 343[PTP].
  18. T. Hayashi, T. Karino, M. Matsuda and S. Ogawa, Prog. Theor. Phys. 49 (1973), 293[PTP].
    T. Hayashi, M. Nakagawa, H. Nitto and S. Ogawa, Prog. Theor. Phys. 49 (1973), 351[PTP]; ibid. 52 (1974), 636[PTP].
    M. Matsuda, Prog. Theor. Phys. 55 (1976), 1923[PTP].
  19. G. Goldhaber, Phys. Rev. Lett. 37 (1976), 255[APS]; preprint LBL-5534.
  20. M. Nakagawa, a comment given at the research meeting on the weak interaction, Jan. 1970, Kyoto; Ref. 17).
  21. Y. Abe, K. Fujii and K. Honda, Prog. Theor. Phys. 59 (1978), 208[PTP].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 59 No. 1 (1978) pp. 208-213 :
    Nonleptonic Decays of 1/2+-Baryons and Pseudo-Connected-Line Diagrams. II
    Yoshikazu Abe, Kanji Fujii and Keijiro Honda
  2. Progress of Theoretical Physics Vol. 61 No. 1 (1979) pp. 256-268 :
    Sum Rules for ΔC=ΔS=1 S-Wave Decays of Charmed Baryons
    Keijiro Honda

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