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Prog. Theor. Phys. Vol. 35 No. 1 (1966) pp. 90-103

[ Full Text PDF : FREE ACCESS (684K) ]

Pole Model of Non-Leptonic Decay Consistent with Decay Parameters and Sum Rules

Shōichiro Kawasaki,* Mitsuo Imoto** and Shin-ya Furui***

*Department of Physics, College of Arts and Sciences, Chiba University, Chiba
**Department of Physics, and Atomic Energy Research Institute, College of Science and Engineering, Nihon University, Tokyo
***Physical Institute, Faculty of Liberal Arts, Ibaraki University, Mito

(Received September 14, 1965)

Abstract:

Considering the difficulties to get decay parameters and sum rules consistently and the ill forbiddeness of K10 → 2π in SU(3) limit, we reject the prejudice that the non-leptonic decay can be expressed with trilinear interaction, and instead adopt the pole model with all two-body type weak interactions that are CP invariant, λ6-like and constructed from baryon octet, pseudoscalar meson octet and vector meson nonet with actual mass splittings. It follows, then, that i) Σ+ → n + π+ is uniquely determined to be pure P-wave process consistent with both of the recent experiments and result on SU6 theory; ii) experimental values of six α's and γ's are consistently reproduced by means of four parameters including weak and strong F/D ratios whose fittest values are F/D = 2/3 (the value suggested by the SU6 theory) consistent with experimental values ∼1/√3; iii) with the fixed parameters there hold exactly or approximately six sum rules for each of S and P waves. These sum rules include relations obtained on the SU6 theory and two new ones for the P wave. It is also shown that K10 → 2π is allowed with right order owing to our assumptions, contrasting with its forbiddeness with trilinear interaction at the SU3-symmetry limit.


URL : http://ptp.ipap.jp/link?PTP/35/90/
DOI : 10.1143/PTP.35.90

[ Full Text PDF : FREE ACCESS (684K) ] Citation:

See Also:

References:

  1. H. Sugawara, Prog. Theor. Phys. 31 (1964), 213[PTP].
    B. W. Lee, Phys. Rev. Lett. 123 (1964), 83[APS].
    M. Gell-Mann, Phys. Rev. Lett. 12 (1964), 155[APS].
    B. Sakita, Phys. Rev. Lett. 12 (1964), 379[APS].
    S. Okubo, Phys. Lett. 8 (1964), 362[CrossRef].
  2. M. Suzuki, Phys. Rev. Lett. 14 (1965), 64[APS].
    G. Altarelli, F. Buccella and R. Gatto, Phys. Rev. Lett. 14 (1965), 70[APS].
    K. Kawarabayashi, Phys. Rev. Lett. 14 (1965), 86[APS].
    P. Babu, Phys. Rev. Lett. 14 (1965), 166[APS].
    S. P. Rosen and S. Pokvasa, Phys. Rev. Lett. 13 (1964), 773[APS].
    W. Alles and G. Segre, Phys. Rev. Lett. 15 (1965), 94[APS].
    A. Ademollo, G. Altarelli and R. Gatto, Phys. Rev. Lett. 14 (1965), 420[APS].
    K. Kawarabayashi and R. White, International Centre for Theoretical Physics Report No. 1c/65/5.
    Besides, there are some works based on U(12) symmetry.
  3. M. Gell-Mann and A. H. Rosenfeld, Ann. Rev. Nucl. Sci. 7 (1957), 407.
  4. Riazuddin, A. H. Zimmerman and Fayyazuddin, Nuovo Cim. 32 (1964), 1819.
    Riazuddin, Fayyazuddin and A. h. Zimmerman, Phys. Rev. 137 (1965), B1556[APS].
  5. M. Gell-Mann, Phys. Rev. Lett. 12 (1964), 155[APS].
    N. Cabibbo, Phys. Rev. Lett. 12 (1964), 62[APS].
    K. Matumoto, M. Nakagawa and Y. Ohnuki, Prog. Theor. Phys. 32 (1964), 668[PTP].
    K. Itabashi, Phys. Rev. 136 (1964), B221[APS].
  6. M. Sugawara, Phys. Rev. 135 (1964), B 252[APS]; ibid. 135 (1964), B 260[APS].
  7. M. Imoto, S. Furui and S. Kawasaki, Preprint; Prog. Theor. Phys. 35 (1966), 172[PTP]; Soryushiron Kenkyu (mimeographed circular in Japanese) 31 (1965), No. 6.
  8. B. W. Lee and A. H. Swift, Phys. Rev. 136 (1964), B228[APS].
  9. G. Feldman, P. T. Mathews and A. Salam, Phys. Rev. 121 (1961), 302[APS].
    S. K. Bose and R. Marshak, Nuovo Cim. 23 (1962), 556.
    A. Fujii, Phys. Lett. 1 (1962), 75[CrossRef].
    V. Singh and B. M. Udgonkar, Phys. Rev. 126 (1962), 2248[APS].
    J. C. Pati, Phys. Rev. 130 (1963), 2097[APS].
    As pole models premising SU3, there are following works: G. Murtaza and M. A. Rashid, Phys. Lett. 8 (1964), 370[CrossRef].
    E. Eberle and S. Iwao, Phys. Lett. 6 (1963), 302[CrossRef].
    H. Sugawara, Nuovo Cim. 31 (1964), 635.
    S. Hori, Soryushiron Kenkyu (mimeographed circular in Japanese) 28 (1964), 528.
    Y. Hara, Phys. Rev. Lett. 13 (1964), 378[APS].
    C. Itoh and A. Toda, Prog. Theor. Phys. 32 (1964), 606[PTP].
    The last tow among these works adopt only hadron resonances as poles.
  10. P. B. Willmann and T. H .Groves, Phys. Lett. 14 (1965), 350[CrossRef].
    R. H. Dalitz, Lectures given at Varenna, whose data are analyzed also in Table I in the work by G. Altarelli, F. Buccella and R. Gatto in the reference 3).
  11. S. Hori and S. Chiba, Soryushiron Kenkyu (mimeographed circula in Japanese) 29 (1964), 362.
  12. For instance, M. L. Stevenson et al., Phys. Lett. 9 (1964), 349, [CrossRef]and its references.
  13. For instance, P. Franzini and D. Zanello, Phys. Lett. 5 (1963), 254[CrossRef].
  14. R. Cutkovsky, Ann. of Phys. 23 (1963), 415[CrossRef].
    S. Glashow and A. Rosenfeld, Phys. Rev. Lett. 10 (1963), 192[APS].
    A. Martin and K. Wali, Nuovo Cim. 31 (1964), 1324.
    Argonne National Lab. Preprint.
  15. N. Brene, B. Hellesen and M. Roos, Phys. Lett. 11 (1964), 344[CrossRef].
    Riazuddin, Phys. Rev. 136 (1964), B 268[APS].
    C. Ryan, reported by R. E. Marshak in Proceedings of the Conference on Symmetry Principles at High Energy at Coral Gables, Florida (1964). (W. H. Freeman and Comapny, London)
    W. Willis et al., Phys. Rev. Lett. 13 (1964), 291[APS].
  16. A. Martin and K. Wali, Phys. Rev. 130 (1963), 2455[APS].
    N. Cabibbo, Phys. Rev. Lett. 10 (1963), 531[APS].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 35 No. 1 (1966) pp. 172-174 :
    Possible Unification of Two-Body Interaction of Non-Leptonic Decay and Mass-Splittings on the Basis of Cabibbo Space Invariance
    Mitsuo Imoto, Shin-ya Furui and Shoichiro Kawasaki
  2. Progress of Theoretical Physics Vol. 36 No. 5 (1966) pp. 1044-1053 :
    Parity Violating Amplitudes for Nonleptonic Hyperon Decays
    Hideyuki Koyama and Takanori Tamiya
  3. Progress of Theoretical Physics Vol. 36 No. 6 (1966) pp. 1185-1205 :
    Pole Model of Nonleptonic Hyperon Decays, and Model of Hadrons and Their Fundamental Weak Interaction
    Kanji Fujii and Akihiro Murayama
  4. Progress of Theoretical Physics Vol. 37 No. 1 (1967) pp. 205-207 :
    Role of Scalar- and Pseudoscalar-Densities in Nonleptonic Decays of Hadrons. I
    Kanji Fujii and Osamu Terazawa
  5. Progress of Theoretical Physics Vol. 37 No. 1 (1967) pp. 207-209 :
    Role of Scalar- and Pseudoscalar-Densities in Nonleptonic Decays of Hadrons. II
    Kanji Fujii and Osamu Terazawa
  6. Progress of Theoretical Physics Vol. 37 No. 6 (1967) pp. 1228-1238 :
    K →2π Decays and the ΔI = 1/2 Rule
    S. Y. Tsai
  7. Progress of Theoretical Physics Vol. 38 No. 2 (1967) pp. 388-416 :
    On Nonleptonic Decays
    Kanji Fujii, Mitsuo Imoto, Shoichiro Kawasaki, Shin-ya Furui and Tetsuya Tsuchida
  8. Progress of Theoretical Physics Vol. 39 No. 2 (1968) pp. 411-419 :
    On the Non-Leptonic Decay Process
    Takemi Hayashi, Shuzo Ogawa, Hisaichiro Okonogi and Minoru Yonezawa
  9. Progress of Theoretical Physics Vol. 39 No. 5 (1968) pp. 1233-1267 :
    Phenomenological Approach to Non-Leptonic Decays. I
    Mitsuo Imoto and Katsuhiko Ohya
  10. Progress of Theoretical Physics Vol. 39 No. 5 (1968) pp. 1278-1288 :
    On Nonleptonic Decays
    Shin-ya Furui, Tetsuya Tsuchida, Kanji Fujii and Shoichiro Kawasaki
  11. Progress of Theoretical Physics Vol. 39 No. 6 (1968) pp. 1546-1553 :
    Nonleptonic Hyperon Decays Based on the Composite Scheme
    Akihiro Murayama
  12. Progress of Theoretical Physics Vol. 43 No. 1 (1970) pp. 125-143 :
    Investigation of Nonleptonic Hyperon Decays and Baryon β-Decays Based on the Quartet Model
    Akihiro Murayama

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