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Neutral currents without gauge theory prejudices

  • J. J. Sakurai
Chapter
Part of the Lecture Notes in Physics book series (LNP, volume 56)

Keywords

Neutral Current Axial Vector Nuclear Phys Heavy Lepton Violate Time Reversal Invariance 
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References and Footnotes

  1. 1)a.
    F.J. Hasert et al., Phys. Letters 46B, 138 (1973).Google Scholar
  2. 1)b.
    F.J. Hasert et al., Nuclear Phys. B73, 1 (1974).Google Scholar
  3. 2).
    J.H. Christenson et al., Phys. Rev. Letters 13, 138 (1964).Google Scholar
  4. 3)a.
    J.J. Aubert et al., Phys. Rev. Letters 33, 1404 (1974).Google Scholar
  5. 3)b.
    J.-E. Augustin et al., Phys. Rev. Letters 33, 1406 (1974).Google Scholar
  6. 4).
    E. Fermi, Z. Phys. 88, 161 (1934).Google Scholar
  7. 5)a.
    S. Weinberg, Phys. Rev. Letters 19, 1264 (1967).Google Scholar
  8. 5)b.
    A. Salam, in Elementary particle theory; relativistic groups and analyticity: Proc. 8th Nobel Symposium, Aspenäsgården, 1968 (ed. N. Svartholm) (Almquist and Wiksells, Stockholm, 1968), p. 367.Google Scholar
  9. 5)c.
    See also A. Salam and J.C. Ward, Phys. Letters 13, 168 (1964).Google Scholar
  10. 6)a.
    A. Benvenuti et al., Phys. Rev. Letters 32, 800 (1974).Google Scholar
  11. 6)b.
    B. Aubert et al., Phys. Rev. Letters 32, 1454 and 1457 (1974).Google Scholar
  12. 7)a.
    S.J. Barish et al., Phys. Rev. Letters 33, 448 (1974).Google Scholar
  13. 7)b.
    L.G. Hyman, Proc. Colloquium La physique du neutrinos á haute énergie, Ecole Polytechnique Paris, 1975 (CNRS, Paris, 1975), p. 183.Google Scholar
  14. 8).
    B.C. Barish et al., Phys. Rev. Letters 34, 538 (1975), Proc. Colloquium La physique du neutrino á haute énergie, Ecole Polytechnique Paris, 1975 (CNRS, Paris, 1975), p. 291.Google Scholar
  15. 9).
    W. Lee et al., Proc. Colloquium La physique du neutrino á haute énergie, Ecole Polytechnique Paris, 1975 (CNRS, Paris, 1975), p. 205.Google Scholar
  16. 10).
    E.G. Cazzoli et al., Proc. Colloquium La physique du neutrino á haute énergie, Ecole Polytechnique Paris, 1975 (CNRS, Paris, 1975), p. 239.Google Scholar
  17. 11).
    Private communication from the ANL Bubble Chamber Group.Google Scholar
  18. 12)a.
    F.J. Hasert et al., Phys. Letters 46B, 121 (1973)Google Scholar
  19. 12)b.
    Gargamelle Neutrino-Freon Collaboration, Proc. Colloquium La physique du neutrino á haute énergie, Ecole Polytechnique, Paris, 1975 (CNRS, Paris, 1975), p. 257.Google Scholar
  20. 13).
    B. Aubert et al., Phys. Rev. Letters 33, 984 (1974).Google Scholar
  21. 14).
    A. Benvenuti et al., Phys. Rev. Letters 34, 419 (1975).Google Scholar
  22. 15).
    A. Pais and S.B. Treiman, Brookhaven National Laboratory preprint, BNL-20348 (1975).Google Scholar
  23. 16)a.
    L.M. Sehgal, Phys. Letters 55B, 205 (1975.Google Scholar
  24. 16)b.
    G.V. Dass, CERN preprint TH-2020 (1975).Google Scholar
  25. 17).
    H.S. Gurr, F. Reines and H.W. Sobel, Phys. Rev. Letters 28, 1406 (1972).Google Scholar
  26. 18)a.
    L. Wolfenstein, Nuclear Phys. B91, 95 (1975).Google Scholar
  27. 18)b.
    Ya.B. Zeldovitch and A.M. Perelomov, Soviet Phys.-JETP 12, 777 (1961).Google Scholar
  28. 19)a.
    J. Bernstein and T.D. Lee, Phys. Rev. Letters 11, 512 (1963).Google Scholar
  29. 19)b.
    J. Bernstein, M. Ruderman and G. Feinberg, Phys. Rev. 132, 1227 (1963).Google Scholar
  30. 20)a.
    J.E. Kim, V.S. Mathur and S. Okubo, Phys. Rev. D9, 3050 (1974).Google Scholar
  31. 20)b.
    B. Jouvet, Orsay preprint, LPTHE 74/32 (1974).Google Scholar
  32. 20)c.
    B.A. Arbuzov, Serpukhov preprint, IHEP 74–98 (1974).Google Scholar
  33. 21)a.
    Ph. Meyer and D. Schiff, Phys. Letters 8, 217 (1964).Google Scholar
  34. 21)b.
    C. Bouchiat, J. Iliopoulos and Ph. Meyer, Phys. Letters 42B, 91 (1972).Google Scholar
  35. 22)a.
    A gauge model of this kind was proposed by M.A.B. Bég and A. Zee, Phys. Rev. Letters 30, 675 (1973).Google Scholar
  36. 22)b.
    M.A.B. Bég, Phys. Letters 49B, 361 (1974).Google Scholar
  37. 23).
    For an excellent introduction to charge-current phenomenology, see C. Llewellyn Smith, Physics Reports 3C, No. 5, 261 (1972).Google Scholar
  38. 24).
    J.D. Bjorken, Phys. Rev. 179, 1547 (1969).Google Scholar
  39. 25)a.
    T. Eichten et al., Phys. Letters 46B, 274 (1973).Google Scholar
  40. 25)b.
    H. Deden et al., Nuclear Phys. B85, 269 (1975).Google Scholar
  41. 26).
    C.G. Callan and D.J. Gross, Phys. Rev. Letters 22, 156 (1969).Google Scholar
  42. 27).
    D.C. Cundy, Proc. 17th Internat. Conf. on High-Energy Physics, London, 1974 (Rutherford Lab., Chilton, Didcot, 1974), p. IV–131.Google Scholar
  43. 28).
    J.G. Morfln, Proc. Internat. Symposium on Lepton and Photon Interactions at High Energies, Stanford, 1975, to be published.Google Scholar
  44. 29).
    Private communication from the HPW Collaboration.Google Scholar
  45. 30).
    E.A. Paschos and L. Wolfenstein, Phys. Rev. D 7, 91 (1973).Google Scholar
  46. 31)a.
    G. Rajasekaran and K.V.L. Sarma, Phys. Letters 56B, 201 (1975).Google Scholar
  47. 31)b.
    M. Gourdin, University of Paris preprint, PAR/LPTHE 75.3 (1975).Google Scholar
  48. 31)c.
    E.A. Paschos, Lectures given at the Xth Rencontre de Moriond, Méribel-les-Allues (1975), to be published.Google Scholar
  49. 32).
    G. Rajasekaran and K.V.L. Sarma, Pramana 2, 62 (1974).Google Scholar
  50. 33).
    A. Pais and S.B. Treiman, Phys. Rev. D 6, 2700 (1972).Google Scholar
  51. 34)a.
    L.M. Sehgal, Nuclear Phys. B65, 141 (1973).Google Scholar
  52. 34)b.
    R. Palmer, Phys. Letters 46B, 240 (1973).Google Scholar
  53. 35).
    M. Gronau, Phys. Letters 53B, 260 (1974).Google Scholar
  54. 36).
    G. Rajasekaran and P. Roy, Pramana 4, 222 (1975).Google Scholar
  55. 37)a.
    Yu.V. Gapanov and I.V. Tyutin, Soviet Phys.-JETP 20, 1231 (1965).Google Scholar
  56. 37)b.
    A. Ali and C.A. Dominguez, Neutrino (antineutrino) disintegration of the deuteron, and the structure of the neutral weak current, IPN Mexico preprint (1975).Google Scholar
  57. 38).
    H.S. Gurr, F. Reines and H.W. Sobel, Phys. Rev. Letters 33, 179 (1974).Google Scholar
  58. 39).
    T.W. Donnelly et al., Phys. Letters 49B, 8 (1974).Google Scholar
  59. 40).
    S.L. Adler, Phys. Rev. 135 B, 963 (1964).Google Scholar
  60. 41).
    A. Pais and S.B. Treiman, Phys. Rev. D 9, 1459 (1974).Google Scholar
  61. 42)a.
    S.P. Rosen, Neutrinos — 1974, Proc. Fourth Internat. Conf. on Neutrino Physics and Astrophysics, Downingtown, Pa., 1974 (ed. C. Baltay) (AIP, New York, 1974), p. 5.Google Scholar
  62. 42)b.
    B. Kayser et al., Phys. Letters 52B, 385 (1974).Google Scholar
  63. 43)a.
    R.L. Kingsley, F. Wilczek and A. Zee, Phys. Rev. D 10, 2216 (1974).Google Scholar
  64. 43)b.
    T.C. Yang, Phys. Rev. D 10, 3744 (1974).Google Scholar
  65. 44).
    S. Pakvasa and G. Rajasekaran, Phys. Rev. D 12, 113 (1975).Google Scholar
  66. 45).
    J.S. Bell and G.V. Dass, Rutherford preprint RL-75-151/T. 136 (1975).Google Scholar
  67. 46).
    M. Gronau, Nuovo Cimento Letters 14, 204 (1975).Google Scholar
  68. 47).
    See contributions by D. Cline and by J.J. Sakurai in Neutrinos — 1974, Proc. Fourth Internat. Conf. on Neutrino Physics and Astrophysics, Downington, Pa., 1974 (ed. C. Baltay) (AIP, New York, 1974), pp. 201 and 57, respectively.Google Scholar
  69. 48)a.
    S.L. Adler, Phys. Rev. D 11, 1155 (1975).Google Scholar
  70. 48)b.
    S.L. Adler et al., Institute for Advanced Study preprint C00 2220-48 (1975).Google Scholar
  71. 49)a.
    This is reminiscent of an analogous theorem for Yukawa-type couplings: G. Feinberg, Phys. Rev. 108, 878 (1957).Google Scholar
  72. 49)b.
    S.N. Gupta, Canad. J. Phys. 35, 1309 (1957).Google Scholar
  73. 49)c.
    V.G. Soloviev, Nuclear Phys. 6, 618 (1958).Google Scholar
  74. 50).
    R.L. Kingsley et al., Phys. Rev. D 11, 1043 (1975).Google Scholar
  75. 51).
    For the status of strangeness-changing neutral currents, see for example K. Kleinknecht, Proc. 17th Internat. Conf. on High-Energy Physics, London, 1974 (Rutherford Lab., Chilton, Didcot, 1974), p. III–23.Google Scholar
  76. 52).
    For the status of isotensor currents in electromagnetic interactions, see for example H.M. Fisher, Proc. 6th Internat. Symposium on Electron and Photon Interactions at High Energies, Bonn, 1973 (eds. H. Rollnik and W. Pfeil) (North-Holland, Amsterdam, 1974), p. 77.Google Scholar
  77. 53).
    A.F. Garfinkel, Proc. Colloquium La physique du neutrino á haute énergie, Ecole Polytechnique Paris, 1975 (CNRS, Paris, 1975), p. 311.Google Scholar
  78. 54).
    L.M. Sehgal, Argonne preprint ANL/HEP/PR 75-45 (1975).Google Scholar
  79. 55)a.
    J.J. Sakurai, Phys. Rev. D 9, 250 (1974).Google Scholar
  80. 55)b.
    See also S. Pakvasa and S.F. Tuan, Phys. Rev. D 9, 2698 (1974).Google Scholar
  81. 56).
    A. Rousset, Proc. 17th Internat. Conf. on High-Energy Physics, London, 1974, (Rutherford Lab., Chilton, Didcot, 1974), p. IV–128.Google Scholar
  82. 57).
    F.J. Hasert et al., CERN report TCL/Int. 75-6 (1975).Google Scholar
  83. 58).
    C. Albright et al., Phys. Rev. D 7, 2220 (1973).Google Scholar
  84. 59)a.
    G. Zweig, in Symmetries in elementary particle physics (ed. A. Zichichi) (Academic Press, New York, 1965), p. 192.Google Scholar
  85. 59)b.
    See also S. Okubo, Phys. Letters 5, 165 (1963).Google Scholar
  86. 60).
    J.J. Sakurai, Phys. Rev. Letters 35, 1037 (1975).Google Scholar
  87. 61).
    N. Cabibbo, Phys. Rev. Letters 10, 531 (1963).Google Scholar
  88. 62).
    Y.S. Mathur, S. Okubo and J.E. Kim, Phys. Rev. D 10, 3648 (1974); D 11, 1059 (1975).Google Scholar
  89. 63).
    S.L. Glashow, J. Iliopoulos and L. Maiani, Phys. Rev. D 2, 1285 (1970).Google Scholar
  90. 64).
    S.L. Adler et al., Phys. Rev. D 11, 3309 (1975).Google Scholar
  91. 65).
    J.J. Sakurai and L.F. Urrutia, Phys. Rev. D 11, 159 (1975).Google Scholar
  92. 66).
    D.C. Cundy et al., Phys. Letters 31 B, 478 (1970).Google Scholar
  93. 67).
    S.L. Adler, Phys. Rev. Letters 33, 1511 (1974); Institute for Advanced Study preprint COO 2220-44 (1975).Google Scholar
  94. 68).
    S.L. Adler et al., Institute for Advanced Study preprint COO 2220-50 (1975).Google Scholar
  95. 69).
    B.W. Lee, Phys. Letters 40B, 420 (1972).Google Scholar
  96. 70).
    D.H. Perkins, Proc. 16th Internat. Conf. on High-Energy Physics, Chicago-Batavia, 1972 (NAL, Chicago, 1973), Vol. 4, p. 189.Google Scholar
  97. 71)a.
    S.L. Adler, Phys. Rev. D 9, 229 (1974).Google Scholar
  98. 71)b.
    S.L. Adler, S. Nussinov and E.A. Paschos, Phys. Rev. D 9, 2125 (1974).Google Scholar
  99. 72).
    E.D. Bloom and F.J. Gilman, Phys. Rev. Letters 25, 1140 (1970).Google Scholar
  100. 73).
    F. Ravndal, Nuovo Cimento 18A, 385 (1973). 74) S.L. Adler et al., Fermilab preprint, FERMI-LAB-PUB-75/52-THY (1975). 75) C.A. Piketty and L. Stodolsky, Nuclear Phys. B15, 571 (1970).Google Scholar
  101. 76).
    M.K. Gaillard, S.A. Jackson and D.V. Nanopoulos, CERN preprint TH-2049 (1975).Google Scholar
  102. 77)a.
    D.Z. Freedman, Phys. Rev. D 9, 1389 (1974).Google Scholar
  103. 77)b.
    See also J. Bernabéu, Nuovo Cimento Letters 10, 329 (1974).Google Scholar
  104. 78).
    J.N. Bahcall and S.C. Frautschi, Phys. Rev. 136B, 1547 (1964).Google Scholar
  105. 79).
    J.N. Bahcall, Phys. Rev. 136B, 1164 (1964).Google Scholar
  106. 80).
    W.A. Fowler and F. Hoyle, Astrophys. J. Suppl. No. 91, 9, 201 (1964).Google Scholar
  107. 81)a.
    S.A. Colgate and R.H. White, Astrophys. J. 143, 626 (1966).Google Scholar
  108. 81)b.
    W.D. Arnett, Canad. J. Phys. 44, 2553 (1966).Google Scholar
  109. 81)c.
    J.R. Wilson, Astrophys. J. 163, 209 (1971).Google Scholar
  110. 82)a.
    J.R. Wilson, Phys. Rev. Letters 32, 849 (1974).Google Scholar
  111. 82)b.
    D.N. Schramm and W.D. Arnett, Phys. Rev. Letters 34, 113 (1975).Google Scholar
  112. 82)c.
    J. Bernabéu, CERN preprint TH-2073 (1975).Google Scholar
  113. 83).
    J.R. Wilson, Lawrence Livermore Laboratory preprint UCRL-76947 (1975).Google Scholar
  114. 84).
    G. t'Hooft, Phys. Letters 37B, 195 (1971).Google Scholar
  115. 85)a.
    L.M. Sehgal, Nuclear Phys. B70, 61 (1974); Phys. Letters 48B, 60 (1974).Google Scholar
  116. 85)b.
    See also H. Terazawa, Phys. Rev. D 8, 1817 (1973).Google Scholar
  117. 86).
    In comparing (7.10) with (3.18) note that for reactions initiated by left-handed neutrinos (right-handed antineutrinos) we can freely make the replacement \(\bar v\gamma _\lambda v \leftrightarrow \frac{1}{2}\bar v\gamma _\lambda (1 + \gamma _5 )v\).Google Scholar
  118. 87)a.
    H.H. Chen and B.W. Lee, Phys. Rev. D 5, 1874 (1972).Google Scholar
  119. 87)b.
    A. De Rújula et al., Rev. Mod. Phys. 46, 391 (1974).Google Scholar
  120. 88)a.
    J.J. Sakurai, Phys. Rev. Letters 34, 56 (1975).Google Scholar
  121. 88)b.
    G. Altarelli et al., Nuovo Cimento Letters 11, 609 (1974).Google Scholar
  122. 89).
    R. Schwitters, Proc. Internat. Symposium on Lepton and Photon Interactions at High Energies, Stanford, 1975, to be published.Google Scholar
  123. 90)a.
    E.A. Paschos, Phys. Rev. Letters 34, 358 (1975).Google Scholar
  124. 90)b.
    M.-S. Chen and Y.-P. Yao, Phys. Rev. Letters 34, 628 (1975).Google Scholar
  125. 91).
    N. Cabibbo and R. Gatto, Phys. Rev. 124, 1577 (1961).Google Scholar
  126. 92).
    The spirit of my approach to this subject closely parallels that of L. Wolfenstein AIP Proceedings No. 23, Proc. of the Meeting of The American Physical Society, Division of Particles and Fields, Williamsburg, Sept. 5–7, 1974 (ed. C.E. Carlson), p. 84 who discussed the reaction (8.8) without reference to particular models.Google Scholar
  127. 93)a.
    A. Love, Nuovo Cimento Letters 5, 113 (1972).Google Scholar
  128. 93)b.
    V.K. Cung, A.K. Mann and E.A. Paschos, Phys. Letters 41B, 355 (1972).Google Scholar
  129. 93)c.
    J. Godine and A. Hankey, Phys. Rev. D 6, 3301 (1972).Google Scholar
  130. 94)a.
    The importance of higher-order electromagnetic effects in the reaction (8.8) has been emphasized in: R.W. Brown et al., Phys. Letters 43B, 403 (1973).Google Scholar
  131. 94)c.
    D.A. Dicus, Phys. Rev. D 8, 890 (1973).Google Scholar
  132. 95)a.
    R. Budny, Phys. Letters 45B, 340 (1973).Google Scholar
  133. 95)b.
    M. Kuroda and Y. Yamaguchi, Progr. Theor. Phys. 49, 2160 (1973).Google Scholar
  134. 95)c.
    E. Lendvai and G. Pécsik, Phys. Letters 56B, 462 (1975).Google Scholar
  135. 95)d.
    H.S. Mani and P. Roy, Pramana 4, 264 (1975).Google Scholar
  136. 96)a.
    R. Gatto and G. Preparata, Nuovo Cimento Letters 7, 89 (1973).Google Scholar
  137. 96)b.
    R. Budny and H. McDonald, Phys. Letters 48B, 423 (1974).Google Scholar
  138. 96)c.
    H. McDonald, Nuclear Phys. B75, 343 (1974).Google Scholar
  139. 96)d.
    G. Kajon and R. Petronzio, Nuovo Cimento Letters 10, 369 (1974).Google Scholar
  140. 97)a.
    Ya. B. Zeldovich, Soviet Phys.-JETP 36, 964 (1959).Google Scholar
  141. 97)b.
    A. Love, G.C. Ross and D.V. Nanopoulos, Nuclear Phys. B49, 513 (1972).Google Scholar
  142. 97)c.
    E. Derman, Phys. Rev. D 7, 2755 (1973).Google Scholar
  143. 97)d.
    M. Suzuki, Nuclear Phys. B70, 154 (1974).Google Scholar
  144. 97)e.
    S. Berman and J. Primack, Phys. Rev. D 9, 2171 (1974).Google Scholar
  145. 98).
    L. Stodolsky, Phys. Letters 50B, 352 (1974).Google Scholar
  146. 99).
    M.A. Bouchiat and C.C. Bouchiat, Phys. Letters 48B, 111 (1974).Google Scholar
  147. 100)a.
    J. Bernabéu, T.E.O. Ericson and C. Jarlskog, Phys. Letters B50, 467 (1974).Google Scholar
  148. 100)b.
    G. Feinberg and M.Y. Chen, Phys. Rev. D 10, 190 (1974).Google Scholar
  149. 101).
    C. Jarlskog and L.M. Simons, Proc. Fifth Internat. Conf. on Neutrino Science, Balatonfüred, Hungary, June 1975, to be published.Google Scholar
  150. 102).
    C.H. Llewellyn Smith and D.V. Nanopoulos, Nuclear Phys. B78, 205 (1974).Google Scholar
  151. 103).
    J.E. Augustin et al., Phys. Rev. Letters 34, 233 (1975).Google Scholar

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© Springer-Verlag 1976

Authors and Affiliations

  • J. J. Sakurai
    • 1
  1. 1.CERNGeneva

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