Quick Search:
Author: Title/Abstract: Vol./No: Page:

Prog. Theor. Phys. Vol. 5 No. 2 (1950) pp. 283-304

[ Full Text PDF : FREE ACCESS (1786K) ]

On the Nature of τ-Mesons. I

Hiroshi Fukuda, Satio Hayakawa* and Yoneji Miyamoto

Department of Physics, Tokyo University
*Department of Physics, University of City Osaka

(Received January 28, 1950)

Abstract:

The mass, the life and the interaction with nucleons of τ-mesons discovered in photographic plates are qualitatively discussed. The probabilities of τ→π+ π0 and τ→π+ γ for various combinations of their couplings are calculated by Tomonaga-Schwinger formalism. The generalized selection rule for the system composed of many mesons is presented, from which some particular sets of the types of these mesons, for example scalar and pseudoscalar, are admitted to explain the rather long life time of τ-meson, ∼10-11 sec. The life time for τ→3π decay calculated by our method is obtained as long as 10-11 sec. consistent with experiments. This result suggests that the interaction of π-meson with nucleon is considerably weak. Some arguments for and against such presumption are discussed. The varieties of mesons, called varitrons, are classified as π- and µ-types.


URL : http://ptp.ipap.jp/link?PTP/5/283/
DOI : 10.1143/PTP.5.283

[ Full Text PDF : FREE ACCESS (1786K) ] Citation:


References:

  1. J. R. Oppenheimer, Rev. Mod. Phys. 21 (1949), 181[APS].
  2. H. Fukuda and Y. Miyamoto, Prog. Theor. Phys. 4 (1949), 347, [PTP]quoted as A.
  3. H. Fukuda and Y. Miyamoto, Prog. Theor. Phys. 4 (1949), 392[PTP].
  4. S. Ozaki, S. Ôneda and S. Sasaki, Prog. Theor. Phys. 4 (1949), 524[PTP]; ibid. 5 (1950), 25[PTP].
  5. J. Steinberger, Phys. Rev. 76 (1949), 1180[APS].
  6. Y. Fujimoto and S. Hayakawa, Prog. Theor. Phys. 4 (1949), 502, [PTP]about the bursts under a thick shield.
    J. Nishimura and S. Hayakawa, Prog. Theor. Phys. 4 (1949), 598, [PTP]about the intensity of the soft component in the stratosphere.
    Y. Fujimoto and S. Hayakawa, Prog. Theor. Phys. 5 (1950), 144, [PTP]about the bursts produced by a lead plate in high altitudes.
    S. Hayakawa, Prog. Theor. Phys. 5 (1950), 185, [PTP]about the excess electrons in the lower atmosphere.
    But the statement of one of us
    S. Hayakawa, Prog. Theor. Phys. 4 (1949), 336, [PTP]
    about the life time of neutral meson may be revised.
    Accounting for the new evidence found in a very large cosmic ray star, the life of neutral meson may be shorter than 10-13 sec.
    M. F. Koplau, B. Peters and H. L. Bradt, Phys. Rev. 76 (1949), 1735[APS].
    R. F. Marshak, Phys. Rev. 76 (1949), 1736[APS]).
    If this value of the life time is correct, the prescription concerning the ambiguity appeared in the γ-decay of pseudoscalar meson may be settled as follow.
    Only the non-gauge invariant terms are eliminated from the result and the equivalence theorem would be given up though it should hold.
    Then the first term in the expression of the decay probability for pseudoscalar coupling (A (2.17)) is remained and gives the life time as short as 10-16 sec. as adopted by Steinberger.
    Such prescription is, of course, only tentative and not solve the ambiguity.
  7. R. Bjorklund, W. Crandall, B. Moyer and H. York, Phys. Rev. 77 (1950), 213[APS].
  8. H. Fukuda, S. Hayakawa and Y. Miyamoto, Prog. Theor. Phys. 4 (1949), 388[PTP].
  9. H. Fukuda and Y. Miyamoto, Prog. Theor. Phys. 4 (1949), 398[PTP].
  10. L. Leprince-Ringuet, Hoang Tchang-Fong, L. Janean and D. Morellet, C. R. 226 (1948), 1897.
    L. Leprince-Reinguet, Rev. Mod. Phys. 21 (1949), 42[APS].
  11. R. Brown, U. Camerini, P. H. Fowler, H. Muirhead, C. F. Powell and D. N. Riston, Nature 163 (1949), 48; ibid. 163 (1949), 82[CrossRef].
  12. Y. Fujimoto, S. Hayakawa and Y. Yamaguchi, Prog. Theor. Phys. 4 (1949), 575[PTP].
  13. R. Huby, Phil. Mag. 40 (1949), 685.
  14. E. Fermi and E. Teller, Phys. Rev. 72 (1949), 399[APS].
    R. L. Rosenberg, Phil. Mag. 40 (1949), 759.
  15. H. Yukawa, Rev. Mod. Phys. 21 (1949), 474[APS].
  16. F. M. Smith, W. H. Barkas, H. Bradner and F. Gardner, unpublished.
  17. H. Yukawa and T. Okayama, Sci. Pap. I. R. C. R. 36 (1939), 385.
  18. A. I. Alikhaniyan, E. M. Samoilovich, I. I. Gurevich and Kh. P. Babayan, J. Exp. Theor. Phys. 19 (1949), 667.
  19. C. M. G. Lattes G. P. S. Occhialini and C. F. Powell, Nature 160 (1949), 453[CrossRef]; ibid. 160 (1949), 487.
  20. G. D. Rochester and C. C. Butler, Nature 160 (1947), 855[CrossRef].
  21. F. Booth and A. H. Wilson, Proc. R. Soc. 157 (1940), 483.
  22. M. Kobayasi and T. Okayama, Proc. Phys. Math. Soc. Jpn. 21 (1939), 1.
  23. H. Fukuda and Y. Miyamoto, Prog. Theor. Phys. in press.
  24. J. Schwinger, Phys. Rev. 74 (1948), 1439[APS]; ibid. 75 (1949), 651[APS]; ibid. 76 (1949), 790[APS].
  25. H. Fukuda and Y. Miyamoto, Prog. Theor. Phys. 4 (1949), 389[PTP].
  26. W. H. Furry, Phys. Rev. 51 (1937), 125[APS].
  27. S. Sakata and Y. Tanikawa, Phys. Rev. 57 (1940), 548, [APS]see also A.
  28. E. J. Dyson, Phys. Rev. 73 (1948), 929[APS].
  29. E. C. Nelson, Phys. Rev. 60 (1946), 830[APS].
    F. J. Dyson, Phys. Rev. 73 (1948), 929[APS].
    Y. Nambu, Prog. Theor. Phys. 3 (1948), 444[PTP].
    K. M. Case, Phys. Rev. 76 (1949), 14[APS].
  30. W. Pauli and F. Villars, Rev. Mod. Phys. 21 (1949), 434[APS].
  31. Y. Katayama, Prog. Theor. Phys. 4 (1949), 377[PTP].
    H. Fukuda, Y. Miyamoto, T. Miyazima and S. Tomonaga, Prog. Theor. Phys. 4 (1949), 385[PTP].
    S. Ozaki, S. Ôneda and S. Sasaki, Prog. Theor. Phys. 4 (1949), 477[PTP]; ibid. 4 (1949), 524[PTP].
    Many authors discussed this problem in the meetings of the Physical Society of Japan in Spring and Autumn of 1949.
  32. N. Wagner and D. Cooper, Phys. Rev. 76 (1949), 449[APS].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 5 No. 2 (1950) pp. 272-282 :
    Problems of Ambiguity in Quantum Field Theory
    Yasuhisa Katayama
  2. Progress of Theoretical Physics Vol. 5 No. 3 (1950) pp. 373-394 :
    On the Decay of a Heavy Meson into Lighter Mesons
    Shoji Ozaki
  3. Progress of Theoretical Physics Vol. 5 No. 3 (1950) pp. 491-492 :
    On the New Mode of Interaction between Spinor Fields
    S. Ozaki, S. Ôneda and S. Sasaki
  4. Progress of Theoretical Physics Vol. 5 No. 6 (1950) pp. 1024-1032 :
    Ambiguities in Quantized Field Theories
    Hiroshi Fukuda and Toichiro Kinoshita
  5. Progress of Theoretical Physics Vol. 6 No. 4 (1951) pp. 614-615 :
    Generalized Furry's Theorem for Closed Loops
    K. Nishijima
  6. Progress of Theoretical Physics Vol. 6 No. 4 (1951) pp. 615-619 :
    On the Nature of V-Particles, I
    Y. Nambu, K. Nishijima and Y. Yamaguchi
  7. Progress of Theoretical Physics Vol. 6 No. 4 (1951) pp. 633-635 :
    Note on the Theory of V-Particles and τ-Mesons
    S. Ôneda
  8. Progress of Theoretical Physics Vol. 9 No. 4 (1953) pp. 327-344 :
    On Some Properties of the Interactions between Elementary Particles
    Sadao Ôneda
  9. Progress of Theoretical Physics Vol. 13 No. 4 (1955) pp. 367-379 :
    On the Competition between Decay and Capture of the Unstable Particles due to the Weak Interactions
    Shuzo Ogawa