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Prog. Theor. Phys. Vol. 45 No. 3 (1971) pp. 866-889

[ Full Text PDF : FREE ACCESS (1187K) ]

A Model of Leptonic Weak Interactions

Bjong-Ro Kim and Seitaro Nakamura

Max-Planck-Institut fur Physik und Astrophysik, München, Deutschland

(Received August 25, 1970)

Abstract:

A model for studying the leptonic weak processes of hadrons is developed on the basis of the original idea of the meson theory by Yukawa who took the strong meson as an intermediary of β-decay. By assuming that all strong mesons have weak interactions with the lepton currents, we find that the contributions from ρ(760) and A1(1070), K*, K*(890), and Kc, Kc(1240) are most prominent, leading to essentially the VA(α>0) type as the leptonic weak interactions of hadrons with |ΔS|=0, 1. We studied the high energy neutrino reactions in this model and compared the result with experiment.
Various kinds of the strong mesons lead to the diverse leptonic weak rocesses of hadrons:
transitions      strong mesons
ΔS=0,       S=0,   I=1,
S|=1,       S=±1, I=1/2, 3/2,
S|=2,       S=±2, I=0,1, (exotic)
ΔSQ,     S=±1, I=1/2,
ΔS=-ΔQ,     S=±1, I=3/2, (ecotic)
The results which were predicted by the conserved vector current theory and those derived by the present theory are compared.


URL : http://ptp.ipap.jp/link?PTP/45/866/
DOI : 10.1143/PTP.45.866

[ Full Text PDF : FREE ACCESS (1187K) ] Citation:


References:

  1. H. Yukawa, Proc. Phys. Math. Soc. Jpn. 17 (1935), 48.
    Later developments are summarized in the reference: H. Yukawa, Rev. Mod. Phys. 21 (1949), 477[APS].
  2. S. Sakata, Proc. Phys. Math. Soc. Jpn, 23 (1941), 291.
    H. Yukawa, S. Sakata and M. Taketani, Proc. Phys. Math. Soc. Jpn. 20 (1938), 319.
    H. Yukawa, S. Sakata, M. Kobayashi and M. Taketani, Proc. Phys. Math. Soc. Jpn. 20 (1938), 720.
  3. S. Ogawa, Prog. Theor. Phys. 15 (1956), 487[PTP].
    C. G. S. Sudarshan and R. E. Marshak, Phys. Rev. 109 (1958), 1860[APS].
    J. Schwinger, Ann. of Phys. 2 (1957), 407[CrossRef].
    R. P. Feynman and M. Gell-Mann, Phys. Rev. 109 (1958), 193[APS].
  4. M. Gell-Mann, Phys. Rev. 112 (1958), 1375[APS].
  5. It must be noticed that before Cabibbo the similar idea was already introduced by Japanese workers, see:
    Z. Maki, M. Nakagawa and S. Sakata, Prog. Theor. Phys. 28 (1962), 870[PTP].
    Y. Katayama, K. Matsumoto, S. Tanaka and E. Yamada, Prog. Theor. Phys. 28 (1962), 675[PTP].
    N. Cabibbo, Phys. Rev. Lett. 10 (1963), 53[APS].
  6. Several authors have already pointed out the possibility that ρ meson could be an intermediary for β-decay of nucleon. The references are cited in the article: S. Nakamura, Proceedings of the International Conference on Elementary Particles, Kyoto, 1965, p. 84.
  7. B. P. Roe, Phys. Rev. Lett. 21 (1967), 1666[APS]; ibid. 22 (1967), 692[APS].
    Riazuddin and Fayyazuddin, Phys. Rev. 147 (1966), 107[APS].
  8. S. Weinberg, Phys. Rev. 112 (1958), 1375[APS].
  9. N. Cabibbo, L. Maiani and G. Pregarata, Phys. Rev. Lett. 18 (1967), 676[APS].
    N. Brene, M. Roos and A. Sirlin, Nucl. Phys. B 6 (1968), 255[CrossRef].
    J. Bender, V. Linke and H. J. Rothe, Z. Phys. 212 (1968), 190.
  10. H. Filthuth, Topical Conference on Weak Interactions (CERN, 1969), p. 131.
  11. S. Nakamura and S. Sato, Prog. Theor. Phys. 29 (1963), 325[PTP].
    R. E. Marshak, C. Ryan, T. K. Bodha and K. Raman, Phys. Rev. Lett. 11 (1963), 396[APS]; Nuovo Cim. 32 (1964).
    S. Nakamura and Y. Nishiyama, Prog. Theor. Phys. 31 (1964), 1109[PTP].
    E. Segre, Phys. Rev. 173 (1968), 1730[APS].
    M. Igarashi and S. Nakamura, Prog. Theor. Phys. 40 (1968), 576[PTP].
  12. E. de Rafael and M. Goldhaber, Phys. Rev. Lett. 20 (1968), 522[APS].
    F. Eisele, R. Engelmann, H. Filthuth, W. Föhlisch, V. Hepp, E. Kluge, E. Leitner, P. Lexa, P. Mokry, W. Presser, H. Schneider, M. L. Stevenson and G. Zech, Z. Phys. 205 (1967), 409.
  13. L. Okun and B. Pontecorvo, Sov. Phys. -JETP 5 (1967), 1297.
  14. T. D. Lee and C. N. Yang, Phys. Rev. Lett. 4 (1960), 307[APS]; Phys. Rev. 119 (1960), 1410[APS].
    Y. Yamaguchi, Prog. Theor. Phys. 23 (1960), 1117[PTP].
  15. N. Cabibbo and F. Chilton, Phys. Rev. 137 (1965), B1628[APS].
  16. M. Igarashi and S. Nakamura, Prog. Theor. Phys. 40 (1968), 576[PTP].
  17. D. H. Perkins, Topical Conference on Weak Interactions (CERN, 1969), p. 1.
  18. R. L. Kustom, D. E. Lundquist, T. B. Novey, A. Yokozawa and F. Chilton, Phys. Rev. Lett. 22 (1969), 1014[APS].
  19. I. Budagov, D. C. Cundy, C. Franzinetti, W.B. Fretter, H. W. K. Hopkins, C. Manfredotti, G. Myatt, F. A. Nezrick, M. Nikolić, T. B. Novey, R. B. Palmer, J. B. M. Pattison, D. H. Perkins, C. A. Ramm, B. Roe, R. Stump, W. Venus, H. W. Wachsmuth and H. Yoshiki, Phys. Lett. B 29 (1969), 524[CrossRef].
  20. S. Berman, Nuovo Cim. 31 (1965) 993.
  21. S. L. Adler, Ann. of Phys. 50 (1968), 189[CrossRef].
    G. Attarelli, G. Presarata and R. Gatto, Nuovo Cim. 37 (1965), 1817.
    Ph. Salin, Nuovo Cim. 48 (1967), 506.
  22. C. A. Piketty and L. Stodolsky, Topical Conference on Weak Interactions (CERN, 1969), p. 75.
  23. M. Taketani, Proceedings of the International Conference on Elementary Particles, Kyoto, 1965, p. 170.
    S. Sawada, T. Ueda, W. Watari and M. Yonezawa, Prog. Theor. Phys. 28 (1962), 991[PTP].
  24. See, for instance, R. Tamagaki, Proceedings of the International Conference on Nuclear Structure, Tokyo, 1967, p. 27.
  25. T. Mayer-Kuckuck and F. C. Michel, Phys. Rev. 127 (1962), 545[APS].
    Y. K. Lee, L. W. Mo and C. S. Wu, Phys. Rev. Lett. 10 (1963), 253[APS].
    C. S. Wu, Rev. Mod. Phys. 36 (1964), 618[APS].
  26. M. Morita, Prog. Theor. Phys. Suppl. No. 26 (1965), 1[PTP].
  27. E. J. Konopinski and E. Uhlenbeck, Phys. Rev. 60 (1941), 308[APS].
    L. M. Langer and R. J. Moffat, Phys. Rev. 88 (1952), 689[APS].
  28. The recent results on β-ray spectra are summarized by Daniel: H. Daniel, Rev. Mod. Phys. 40 (1968), 659[APS].
  29. L. Wolfenstein, Phys. Rev. Lett. 13 (1964), 562[APS].
    B. Ponte, Phys. Lett. B 26 (1968), 630[CrossRef].
  30. P. Bandyopadhyay, Phys. Rev. 173 (1968), 1481[APS].
    P. Bandyopadhyay and P. Roy. Chaudhuri, Lett. Nuovo Cim. I, Vol. 2 (1969), 696.
  31. Y. Tanikawa, Prog. Theor. Phys. 3 (1948), 338[PTP].
    Y. Tanikawa and S. Watanabe, Phys. Rev. 113 (1959), 1344[APS].
    T. Kinoshita, Phys. Rev. Lett. 4 (1960), 378[APS].
  32. Y. Tanikawa and S. Nakamura, Prog. Theor. Phys. Suppl. Nos. 37 & 38 (1966), 306[PTP].
    K. Itami, S. Nakamura, N. Mugibayashi and Y. Tanikawa, Prog. Theor. Phys. 32 (1964), 301[PTP].
    S. Nakamura and K. Itami, Prog. Theor. Phys. 33 (1965), 290[PTP].
  33. J. D. Bjorken, Phys. Rev. 148 (1966), 1467[APS].
    T. D. Lee, S. Weinberg and B. Zumino, Phys. Rev. Lett. 18 (1967), 1029[APS].
  34. B. L. Ioffe, Proceedings of the International Conference on Particles and Fields (Rochester, N. Y., 1967).
  35. J. Nilsson, Nuovo Cim. 22 (1961), 414.
  36. R. N. Mohapatra, J. Sudba Rao and R. E. Marshak, Phys. Rev. Lett. 20 (1968), 1081[APS].
  37. F. E. Low, Comments Nucl. Part. Phys. 2 (1968), No. 2.
  38. R. Gatto, G. Sartori and M. Tonin, Phys. Lett. B 28 (1968), 128[CrossRef].
    C. Bouchiat, J. Iliopoulos and J. Prentki, Nuovo Cim. 56 (1968), 1150.
    A. Pais and S. B. Treiman, Phys. Rev. 176 (1968), 1974[APS].
    G. Segre, Phys. Rev. 181 (1969), 1996[APS].
    R. E. Marshak, R. N. Mohapatran, S. Okubo and J. S. Rao, Topical Conference on Weak Interactions (CERN, 1969).
    M. Gell-Mann, M. L. Goldberger, N. M. Kroll and F. E. Low, Phys. Rev. 179 (1969), 1518[APS].
  39. R. J. Blin-Stoyle, Phys. Rev. 118 (1969), 605[APS].
  40. The later developments are summarized by the lecture: V. M. Lobashov, V. A. Nazarenko, L. F. Sayenko, L. M. Smortrizky and G. I. Kharkevitch, Proceedings of the International Conference on Nuclear Structure, Tokyo, 1967, p. 443.
  41. H. Primakoff, Lecture at Karlsruhe Summer Institute, 1969.
  42. S. Nakamura and S. Sato, Prog. Theor. Phys. Suppl. No. 48 (1971), 1[PTP].
  43. Universality of the weak Yukawa interactions was assumed by Japanese workers: K. Iwata, S. Ogawa, H. Okonogi, B. Sakita and S. Oneda, Prog. Theor. Phys. 13 (1954), 19[PTP].
  44. J. J. Sakurai (International Summer School Boulder, 1969) assumes |gρππ|=|gρNN| on his vector meson dominance model.
  45. J. C. Vanderleeden and F. Boehm, Phys. Rev. C 2 (1970), 748[APS].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 46 No. 1 (1971) pp. 198-210 :
    Selection Rules in the Weak Interactions and Their Relation to Hadronic Mesons
    Bjong-Ro Kim
  2. Progress of Theoretical Physics Vol. 48 No. 6 (1972) pp. 1899-1917 :
    β-Rays Emitted from the Polarized Nuclei and β-Decay Interactions on the Strong Meson-Dominance Model
    Seitaro Nakamura, Shigeo Sato and Masataka Igarashi