Skip to main content

The Heavy Quanta Theory of Nuclear and Cosmic Ray Phenomena

  • Chapter
Theory of Heavy Quanta

Abstract

In 1935 Yukawa suggested in a paper in the Proceedings of the Physico-Mathematical Society of Japan 1) that the exchange forces between heavy particles (protons and neutrons) must be attributed to the action of an intervening field and, in particular, may be regarded as a second order effect due to the consecutive emission and absorption of charged “heavy quanta”, just as the electromagnetic interaction between two charged particles can be described by the quantized electromagnetic field. In order to explain the range of about 2 × 10−13 cm of the nuclear forces, he assumed that this quantum had a mass about 200 times as large as the electron mass: m ≈ 200 m. In his original theory this field was tentatively regarded as a scalar field. Then, however, it turned out 2) that, if the energy of the field of heavy quanta was assumed to be positive, the exchange force between a proton and a neutron became repulsive in a 3S state, in contradiction to the fact that this is the ground state of the deuteron. Since in the mean time experiments on cosmic ray phenomena 3) 4) 5) 6) had suggested the existence of a charged particle just having a mass of the order of magnitude 200 m, which might be identified with the quantum of Yukaw a’s theory 7), Yukawa expressed his intention to investigate whether this difficulty with the sign of the proton-neutron force could be removed by introducing a non-scalar heavy quantum field 2).

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. H. Y u k a w a, Proc. phys. math. Soc. Japan 17, 48, 1935.

    Google Scholar 

  2. H. Yukawa and S. SSakata, Proc. phys. math. Soc. Japan 19, 1084, 1937.

    Google Scholar 

  3. C.D. Anderson and S. H. Neddermeyer, Phys.Rev. 50, 273, 1936.

    Article  Google Scholar 

  4. C.D. Anderson and S.H. Neddermeyer, Phys. Rev. 51, 884, 1937.

    Article  Google Scholar 

  5. C. G. and D. D. M o n t g o m e r y, Phys. Rev. 50, 975, 1936.

    Article  Google Scholar 

  6. J. C. Street and E. C. Stevenson, Phys. Rev. 51, 1005, 1937.

    Google Scholar 

  7. H. Y u k a w a, Proc. phys. math. Soc. Japan 19, 712, 1937.

    Google Scholar 

  8. N. Kemmer, Nature 141, 116, 1938.

    Article  Google Scholar 

  9. H. J. Bhabha, Nature 141, 117, 1938.

    Article  Google Scholar 

  10. N. Kemmer, Proc. roy. Soc. A 166, 127, 1938.

    Google Scholar 

  11. C. Moller and L. Rosenfeld, Nature 143, 241, 1939.

    Article  Google Scholar 

  12. F. J. B e l i n f ant e, Physica 6 1939, (in the press). Second chapter of this thesis, referred to by [M.F.].

    Google Scholar 

  13. H. J. B h a b h a, Nature 143, 276, 1939.

    Article  Google Scholar 

  14. C. G. Darwin, Nature 143, 602, 1939.

    Article  Google Scholar 

  15. W. Pauli and V. Weisskopf, Heiv. phys. Acta 7, 709, 1934.

    Google Scholar 

  16. A. Proc a, J. Phys. Radium 7, 347, 1936; 8, 23, 1937.

    Google Scholar 

  17. E. Durandin and A. Erschow, Phys. Z. Sowjet Un. 12, 466, 1937.

    Google Scholar 

  18. H. J. Bhabha, Proc. roy. Soc. A 166, 501, 1938.

    Article  Google Scholar 

  19. H. Fröhlich, W. Héitier and N. Kemmer, Proc. roy. Soc. A 166, 154, 1938.

    Article  Google Scholar 

  20. W. Pauli, Z. Phys. 43, 601, 1927.

    Article  Google Scholar 

  21. H. Yukawa, S. Sakata and M. Taketani, Proc. phys. math. Soc. Japan 20, 319, 1938.

    Google Scholar 

  22. N. K Kemmer, Heiv. phys. Acta 10, 47, 1937.

    Google Scholar 

  23. H. Yukawa, S. Sakata, M. Kobayasi and M. Taketani, Proc. phys. math. Soc. Japan 20, 720, 1938.

    Google Scholar 

  24. A. H. W i 1 s o n, Proc. Cambr. phil. Soc. 34, 365, 1938.

    Google Scholar 

  25. R. G. Sachs and M. Goeppert-Mayer, Phys. Rev. 53, 991, 1938.

    Article  Google Scholar 

  26. R.G. Herb, D.W. Kerst, D.B. Parkinson and G. J. Plain, Phys. Rev. 55, 998, 1939.

    Article  Google Scholar 

  27. N. P. Heydenburg, L. R. Hafstad and M. A. Tuve, Phys. Rev. 55, 603, 1939.

    Google Scholar 

  28. G. Breit, L.E. Hoisington, S.S. Share andH.M. Thaxton, Phys. Rev. 55, 1103, 1939.

    Article  Google Scholar 

  29. L. Simon s, Phys. Rev. 55, 792, 1939.

    Article  Google Scholar 

  30. N. Kemmer, Proc. Cambr. phil. Soc. 34, 354, 1938.

    Google Scholar 

  31. F. J. B e l i n f ant e, Physica 6 1939, (in the press). First chapter of this thesis, referred to by [U.C.].

    Google Scholar 

  32. H. A. Beth e, Phys. Rev. 55, 1261, 1939.

    Article  Google Scholar 

  33. W. Heisenberg and W. Pauli, Z. Phys. 56, 1, 1929; 63, 574, 1930.

    Google Scholar 

  34. W. Heisenberg and W. Paul i, Z. Phys. 59, 168, 1929.

    Google Scholar 

  35. E. Fermi, Rend. R. Accad. Lincei (Cl. Sc. fis. mat. nat.) 9, 881, 1929.

    Google Scholar 

  36. E. Fermi, Rev. mod. Phys. 4, 87, 1932.

    Article  Google Scholar 

  37. E. C. G. St neck e l b erg, Nature 143, 560, 1939.

    Google Scholar 

  38. E. Fermi, Rend. R. Accad. Lincei (Cl. Sc. fis. mat. nat.) 12, 431, 1930.

    Google Scholar 

  39. W. Pauli and M. Fier z, Heiv. phys. Acta 12, 297, 1939.

    Google Scholar 

  40. F. J. B e l i n f an te, „0n the Spin Angular Momentum of Mesons“ Physica 6 1939, (in the press).

    Google Scholar 

  41. E. Fermi, Z. Phys. 88, 161, 1934.

    Article  Google Scholar 

  42. E.J. Konopinski and G. E. Uhlenbeck, Phys. Rev. 48, 7, 1935.

    Article  Google Scholar 

  43. L. Rosenfeld, Ann. Physik 5, 113, 1930.

    Article  Google Scholar 

  44. L. R Rosenfeld, Ann. Inst. H. Poincaré 2, 24, 1932.

    Google Scholar 

  45. M. Kobayasi and T. Okayama, Proc. phys. math. Soc. Japan 21, 1, 1939.

    Google Scholar 

  46. J. W. G i h b s, „Vector Analysis“ (by E. B. WiIson), chap. 4. ( Yale Bicentennial Publ., New York-London, 1902 ).

    Google Scholar 

  47. K. F. N o v Kobat z k y, Z. Phys. 111, 292, 1939.

    Google Scholar 

  48. H. A. Kramer s, Proc. roy. Acad. Amsterdam 40, 814, 1937.

    Google Scholar 

  49. W. H Heitler, Proc. roy. Soc. A 166, 529, 1938.

    Article  Google Scholar 

  50. W. H Heitler, The Quantum Theory of Radiation“, chap. 3. ( Clarendon Pr., Oxford, 1936 ).

    Google Scholar 

  51. G. Brei t, Phys. Rev. 39, 616, 1932.

    Article  Google Scholar 

  52. D. I w a n e n k o, Nature 144, 77, 1939.

    Article  Google Scholar 

  53. H. A. Kramer s, Hand-u. Jahrb. chem. Phys. 1, § 65, 1937.

    Google Scholar 

  54. J.M.B. Kellogg, I.I. Rabi, N.F. Ramsey and J. R. Zacharias, Phys. Rev. 55, 318, 1939.

    Article  Google Scholar 

  55. H. A. Beth e, Handb. Physik 24/1, 275–277 and 551–560, 1933.

    Google Scholar 

  56. H. A. Kramer s, Hand-u. Jahrb. chem. Phys. 1, § 45, 1933.

    Google Scholar 

  57. W. Heisenberg, Ann. Physik 32, 20, 1938.

    Article  Google Scholar 

  58. J.M.B. Kellogg, I.I. Rabi, N.F. Ramsey and J.R. Zacharias, Phys. Rev. 55, 595, 1939.

    Article  Google Scholar 

  59. I. Est ermann, O. C. Simpson and O. Stern, Phys. Rev. 53, 535, 1937.

    Article  Google Scholar 

  60. F. Bloch, Phys. Rev. 50, 259, 1936; 51, 994, 1937.

    Google Scholar 

  61. R. Frisch, H. von H alb an jun. and J. Koch, Nature 140, 360, 1937.

    Google Scholar 

  62. F.Bloch, H. von Halban jun. and J. Koch, Nature 140, 360, 1937

    Google Scholar 

  63. V. W. Cohen, H. H. Goldsmith and J. Schwinger, Phys. Rev. 55, 106, 1939.

    Article  Google Scholar 

  64. C. F. von Weizsäcker, „Die Atomkerne“, p. 135. ( Akad. Verl. Ges., Leipzig 1937 ).

    Google Scholar 

  65. H. A. Be the and R. P e i e r 1 s, Proc. roy. Soc. A 148, 146, 1935.

    Google Scholar 

  66. G. Breit, H. M. Th axton and L. Eisenbud, Phys. Rev. 55, 1018, 1939.

    Article  Google Scholar 

  67. H. Yukawa and S. Sakata, Nature 143, 761, 1939 and Proc. phys. math. Soc. Japan 21, 138, 1939.

    Google Scholar 

  68. H. Eu1er, Naturwiss. 26, 382, 1938.

    Article  Google Scholar 

  69. P. E h r e n test and A. Fréon, C. R. Paris 207, 853, 1938.

    Google Scholar 

  70. L. W. Nordheim, Phys. Rev. 55, 506, 1939.

    Article  Google Scholar 

  71. L. W. Nordheim and F. L. Yost, Phys. Rev. 51, 942, 1937.

    Article  Google Scholar 

  72. L.W. Nordheim, Phys. Rev. 55, 506, 1939.

    Article  Google Scholar 

  73. L. W. Nordheim and F.L. Yost, Phys Rev. 51, 942, 1937

    Article  Google Scholar 

  74. G.E. Uhlenbeck and H. Kuiper, Physica 4, 601, 1937.

    Article  Google Scholar 

  75. Y. Nisina, M. Takeuti and T. Itimiy a, Phys. Rev. 55, 585, 1939.

    Article  Google Scholar 

  76. O. L a p or t e, Phys. Rev. 54, 905, 1938.

    Article  Google Scholar 

  77. S. Sakata and Y. Tanikaw a, Proc. phys. math. Soc. Japan 21, 58, 1939.

    Google Scholar 

  78. G. Wentze1, Phys. Rev. 54, 869, 1938.

    Article  Google Scholar 

  79. L. W. and G. Nor d heim, Phys. Rev. 54, 254, 1938.

    Article  Google Scholar 

  80. H. Maass, Ann. Physik 27, 507, 1936.

    Article  Google Scholar 

  81. N. Arley and W. Reitle r, Nature 142, 158, 1938.

    Google Scholar 

  82. S. Gorodetzkv, C. R. Paris 208, 1987, 1939.

    Google Scholar 

  83. K. Schmeiser and W. Bothe, Ann. Physik 32, 161, 1938.

    Article  Google Scholar 

  84. H. A. Kramers, Hand-u. Jahrb. chem. Phys. 1, § 89, 1937.

    Google Scholar 

  85. Scherze r, Ann. Physik 34, 585, 1939.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1939 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Belinfante, F.J. (1939). The Heavy Quanta Theory of Nuclear and Cosmic Ray Phenomena. In: Theory of Heavy Quanta. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-7532-4_3

Download citation

  • DOI: https://doi.org/10.1007/978-94-015-7532-4_3

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-017-0010-8

  • Online ISBN: 978-94-015-7532-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics