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Prog. Theor. Phys. Vol. 13 No. 1 (1955) pp. 19-37

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On the Universality of the Weak Boson-Fermion Interaction

Kenzo Iwata, Shuzo Ogawa, Hisaichiro Okonogi, Bunji Sakita and Sadao Oneda*

Institute of Theoretical Physics, Nagoya University
*Kanazawa University

(Received September 30, 1954)

Abstract:

With the aim to investigate the possibility of reducing the complicated interactions between various sorts of elementary particles to some kind of interactions which have certain primary and universal character, analysis is made on the weak interactions between Bosons and Fermions which appear in the recent high energy experiments. It is suggested that there might exist one type of interaction which seems to have desired property. That is, when we set up weak interaction of the type gψaγ5γµψbµφc or gψaγµψbµφc between any pair of spinor fields ψa, ψb (spin 1/2) and any Boson field ψc (spin 0), nearly unique value of the coupling constant g seems to be consistent with so many remarkable reactions (§2, §3). Assuming the universal character of this interaction discussions are made on the consistency of the coexistence of this interaction with other similar ones such as universal Fermi interaction etc. (§4) and on the possible reasons for the necessity of its introduction (§5). In this connection we also briefly examine the problem whether the newly found spinor fields (Λ-particle and possibly κ-meson) may be included in the universal Fermi interaction scheme consistently (§3, §4 and Appendix IV). As an example of the selection principles which forbid unwanted processes, we take the conservation law of the Fermion numbers to test its workability (Appendix I).


URL : http://ptp.ipap.jp/link?PTP/13/19/
DOI : 10.1143/PTP.13.19

[ Full Text PDF : FREE ACCESS (1593K) ] Citation:


References:

  1. For the detailed discussion of this problem see, S. Oneda, Prog. Theor. Phys. 9 (1953), 327[PTP].
    S. Oneda and H. Umezawa, Prog. Theor. Phys. 9 (1953), 685[PTP].
  2. As examples of the incorporation of this idea see, for Baryon-meson-photon interaction.
    a) A. Pais, Prog. Theor. Phys. 10 (1953), 457, [PTP]also for universal Fermi interaction.
    O. Klein, Nature 161 (1948), 897.
    b) O. Hara, T. Marumori, Y. Ohnuki and H. Shimodaira, Prog. Theor. Phys. 10 (1953), 470[PTP].
  3. For example; C. N. Yang and J. Tiomno, Phys. Rev. 79 (1950), 495[APS].
    E. R. Caianiello, Nuovo Cim. 8 (1950), 514; ibid. 8 (1951), 749.
  4. Theory;
    Y. Nambu, K. Nishijima and Y. Yamaguchi, Prog. Theor. Phys. 6 (1951), 651[PTP]; ibid. 6 (1951), 619[PTP].
    S. Oneda, Prog. Theor. Phys. 6 (1951), 663[PTP]; ibid. 6 (1951), 1014, [PTP]and reference 1).
    A. Pais, Phys. Rev. 86 (1952), 633[APS].
    Experiments;
    For artificial production in cosmotron see Fowler, Shutt, Thorndike and Whittemore, Phys. Rev. 91 (1953), 1287[APS]; ibid. 93 (1954), 861[APS].
    Recently clear evidence for the double production π-+p→Λ00 in cosmic ray experiments is reported by Indiana Group.
    One of the author (S. Oneda) wishes to express his thanks to Dr. R. W. Thompson for sending his results before publication.
  5. B. P. Gregory, A. Lagarrigue, L. Leprince-Ringuet, F. Muller and C. Peyrou, Nuovo Cim. 11 (1954), 292.
    W. B. Fretter, B. P. Gregory, R. Johnston, A. Lagarrigue, H. Meyer, F. Muller and C. Peyrou, Phys. Rev. 92 (1953), 1583[APS].
  6. E. J. Konopinski and H. M. Mahmoud, Phys. Rev. 92 (1953), 1045[APS].
  7. H. Friedman and J. Rainwater, Phys. Rev. 81 (1951), 644[APS].
    F. M. Smith, Phys. Rev. 81 (1951), 897[APS].
  8. The particular behaviour of these couplings was first noted by S. Sakata, Proc. Phys. Math. Soc. 23 (1941), 291.
    See also B. D. Espagmat, Compt. Rend. 228 (1948), 749.
  9. R. R. Durbin, H. H. Loar and W. Havens, Jr., Phys. Rev. 83 (1952), 179[APS].
  10. This was first pointed out by S. Ogawa, Soryushiron Kenkyu (Mimeographical circular in Japanese) 5 (1953), 895; ibid. 5 (1953), 1212.
  11. T. Nakano and K. Nishijima, Prog. Theor. Phys. 10 (1953), 581[PTP].
    M. Gell-Mann, Phys. Rev. 93 (1954), 930[APS].
  12. E. R. Caianiello, Phys. Rev. 81 (1951), 625[APS].
  13. J. Tiomno and J. A. Wheeler, Rev. Mod. Phys. 21 (1949), 153[APS].
  14. D. C. Peaslee, Phys. Rev. 91 (1953), 1447[APS].
  15. N. Dallaporta, Nuovo Cim. 11 (1954), 82.
  16. Many authors treated this problem.
    See, for example, S. Nakamura, H. Fukuda, K. Ono, M. Sasaki and M. Taketani, Prog. Theor. Phys. 5 (1950), 740, [PTP]and references quoted in it.
  17. We are indebted to Dr. M. Umezawa for his calling our attention to, for example,
    M. Yamada, Prog. Theor. Phys. 10 (1953), 252[PTP].
  18. H. M. Mahmoud and E J. Konopinski, Phys. Rev. 88 (1952), 1266[APS].
    J. P. Davidson and D. C. Peaslee, Phys. Rev. 91 (1953), 1232[APS].
  19. R. P. Feynmann, Phys. Rev. 76 (1949), 769[APS].
  20. W. F. Fry, Phys. Rev. 83 (1951), 438[APS].
  21. K. Iwata, Prog. Theor. Phys. 10 (1953), 451, [PTP]and other references cited in this paper.
  22. J. A. Wheeler, Rev. Mod. Phys. 21 (1949), 133[APS].
  23. For instance, L. Michel, Proc. Phys. Soc. A 63 (1950), 514.

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