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Prog. Theor. Phys. Supplement No.1 (1955) pp. 46-71

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On the Interaction of Elementary Particles. IV *

Hideki Yukawa, Shoichi Sakata, Minoru Kobayasi and Mitsuo Taketani

Physical Institute, Faculty of Science, Osaka Imperial University

(Received August 2, 1938)


URL : http://ptp.ipap.jp/link?PTPS/1/46/
DOI : 10.1143/PTPS.1.46


*Reprinted from Proc. Phys.-Math. Soc. Jpn. 20 (1938), 720-745.

[ Full Text PDF : FREE ACCESS (1363K) ] Citation:

References:

  1. Kemmer, Nature 141 (1938), 116; Proc. Roy. Soc. A 166 (1938), 127; Fröhlich, Heitler and Kemmer, Proc. R. Soc. A 166 (1938), 154.
  2. Bhabha, Nature 141 (1938), 117; Proc. R. Soc. A 166 (1938), 501.
  3. Stueckelberg, Helv. Phys. 11 (1938), 299.
  4. Yukawa, Sakata and Taketani, Proc. Phys.-Math. Soc. Jpn. 20 (1938), 319.
    This paper will be referred to as III.
  5. Discussions of the scalar theory were made by
    Yukawa and Sakata, Proc. Phys.-Math. Soc. Jpn. 19 (1937), 1084,
    which will be referred to as II.
    Beck, Nature 141 (1938), 609; ibid. 141 (1938), 832.
    Lamb and Schiff, Phys. Rev. 53 (1938), 651[APS].
    Stueckelberg, Helv. Phys. 11 (1938), 225.
    Wentzel, Naturwiss. 26 (1938), 273.
  6. Yukawa, Proc. Phys.-Math. Soc. Jpn. 17 (1935), 48.
    This paper will be referred to as I.
  7. The present authors wish to express their thanks to Dr. Kemmer for sending the manuscript of his paper to be published in Proc. Camb. Phil. Soc.
  8. Kemmer, Nature 140 (1937), 192.
    See further Heisenberg, Naturwiss. 25 (1937), 749.
    Flügge, Zeits. f. Phys. 108 (1938), 545.
  9. Construction of eigenfunctions for any given values of l, s and j was worked our, for example, by Wigner, Gruppentheorie, Braunschweig, (1931), Kap. XVII.
  10. Fröhlich, Heitler and Kemmer, loc. cit.
  11. Heisenberg, Ann. d. Phys. 32 (1938), 20.
  12. Heisenberg and Pauli, Zeits. f. Phys. 56 (1929), 1; ibid. 59 (1930), 168.
  13. Fermi, Zeits. f. Phys. 88 (1934), 161.
  14. Konopinski and Uhlenbeck, Phys. Rev. 48 (1935), 7[APS].
  15. Fierz, Helv. Phys. 10 (1937), 123; ibid. 10 (1937), 284.
  16. Compare I, §4.
  17. Fermi, loc. cit.
  18. The appearance of the terms involving the spin of the heavy particle is in accord with the generalization, in the scheme of the current theory, made by
    Gamow and Teller, Phys. Rev. 49 (1936), 895[APS].
  19. Hoyle, Proc. Camb. Phil. Soc. 33 (1937), 277; Proc. R. Soc. A 166 (1938), 249.
  20. Euler, Naturwiss. 26 (1938), 382.
  21. The energy E in (62), §8. III should be mU c2/2 instead of mU c2. so that (63) becomes dw0 = ((mU c)/(16 π2 h4)) Σ|V|2 d Ω. Thus, w0 and w in III should be multiplied by 2, while the mean life time τ= 1/w should be divided by 2.
  22. Recent experiments seem to indicate a value for mU nearer to 200 m than to 100 m.
    Compare Ehrenfest, C. R. 206 (1938), 428.
    Williams and Pickup, Nature 141 (1938), 684.
    Corson and Brode, Phys. Rev. 53 (1938), 773[APS].
  23. The authors wish to express their thanks to Prof. W. Heisenberg, who called our attention to the importance of this point.
  24. Ehrenfest, loc. cit.
  25. Blackett, Proc. R. Soc. A 165 (1938), 11.
  26. Bowen, Millikan and Neher, Phys. Rev. 52 (1937), 80[APS]; ibid. 53 (1938), 217[APS]; ibid. 53 (1938), 855[APS].
  27. Very recently, a paper by Heitler, Proc. R. Soc. A 166 (1938), 529,
    dealing with the same subject came to our notice.
  28. Pauli and Weisskopf, Helv. Phys. 7 (1934), 709.
  29. Recently, these problems were discussed by Heitler (loc. cit.).
  30. Pauli and Weisskopf, loc. cit. p. 729.
  31. Recent experiments indicate the presence of the large shower consisting of penetrating particles.
    See, for example, Schmeizer, Naturwiss. 25 (1937), 137.
    Schmeizer and Bothe, Naturwiss. 25 (1937), 669; ibid. 25 (1937), 833.
    Maier-Leibnitz, Naturwiss. 26 (1938), 217.
    Auger, Maze and Grivet-Meyer, C. R. 206 (1938), 1721.
  32. Bhabha, Proc. R. Soc. loc. cit.
  33. See also Heitler, loc. cit.
  34. Proca, J. d. Phys. 7 (1936), 347.
  35. Durandin and Erschow, Phys. Zeits. d. Sowj. 12 (1937), 466.
  36. Heisenberg and Pauli, loc. cit.
  37. See also Proca, J. d. Phys. 9 (1930), 61.
  38. Phys. Rev. 54 (1938), 88[APS].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 48 No. 2 (1972) pp. 574-595 :
    The Association of the Sakata-Taketani (Feshbach-Villars) Field with the Kemmer Field, under Symmetry Breaking
    Ephraim Fischbach, Michael Martin Nieto and C. K. Scott

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