- Physical Review Journals
All JournalsPhysics Magazine
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review Journals Archive

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Conserved Current Hypothesis and the Beta Decay of RaE

Jun-Ichi Fujita*

  • Physics Department, Indiana University, Bloomington, Indiana

  • *Present address is Department of Physics, College of Science and Engineering, Nihon University, Tokyo, Japan.
PDF

Phys. Rev. 126, 202 – Published 1 April, 1962

DOI: https://doi.org/10.1103/PhysRev.126.202

Abstract

It is shown that the conserved current theory of Feynman and Gell-Mann is consistent with knowledge of RaE beta decay. This assertion is made by extending the Siegert theorem to beta decay and comparing the theoretical prediction for 〈α〉 with the experimental data, which are obtained from recent electron polarization and spectrum measurements. The Coulomb terms are evaluated using the Ahrens-Feenberg approximation. The conserved and nonconserved (conventional) theories are differentiated by the presence or absence of the exchange contributions. These are also evaluated by the Ahrens-Feenberg approximation. This re-analysis leads to an even larger disagreement between the shell-model prediction and the phenomenological nuclear matrix elements, 〈|σ×r^|〉i〈r^〉. The origin of the disagreement is discussed. Several possible effects of the meson-cloud beta decay in a nucleus are also surveyed in the course of study.

View figure in article

References (52)

  1. E. A. Plassman and L. M. Langer, Phys. Rev. 96, 1593 (1954) C. S. Wu, Beta- and Gamma-Ray Spectroscopy, edited by K. Siegbahn (Interscience Publishers, Inc., New York, 1955) Revs. Modern Phys. 22, 386 (1950)
  2. A. G. Petschek and R. E. Marshak, Phys. Rev. 85, 608 (1952)
  3. M. Yamada, Progr. Theoret. Phys. (Kyoto) 10, 252 (1953)
  4. H. Takebe, S. Nakamura, and M. Taketani, Progr. Theoret. Phys. (Kyoto) 14, 317 (1955)
  5. G. E. Lee-Whiting, Phys. Rev. 97, 463 (1955)
  6. R. Nataf, J. phys. radium 17, 480 (1956)
  7. R. R. Lewis, Phys. Rev. 108, 51 (1957)
  8. J. Fujita, M. Yamada, Z. Matumoto, and S. Nakamura, Progr. Theoret. Phys. (Kyoto) 20, 287 (1958)
  9. D. C. Peaslee, Phys. Rev. 91, 1447 (1953) [5]
  10. M. Morita, J. Fujita, and M. Yamada, Progr. Theoret. Phys. (Kyoto) 10, 630 (1953) [8]
  11. M. Goldhaber, 1958 Annual International Conference on High-Energy Physics at Cern (CERN Scientific Information Service, Geneva, 1958), p. 234
  12. N. Newby and E. J. Konopinski, Phys. Rev. 115, 434 (1959)
  13. R. Feynman and M. Gell-Mann, Phys. Rev. 109, 193 (1958)
  14. A. I. Alikhanov et al., J. Exptl. Theoret. Phys. 35, 1061 (1958) J. S. Geiger et al., Bull. Am. Phys. Soc. 113, 51 (1955) W. Buehring-Heinze, Z. Physik 153, 237 (1958) H. Wegener, H. Bienlein, and H. V. Issendorff, Phys. Rev. Letters 1, 460 (1958)
  15. A. Bincer, E. Church, and J. Weneser, Phys. Rev. Letters 1, 95 (1958)
  16. H. Wegener, Z. Physik 154, 553 (1959)
  17. A. I. Alikhanov, G. P. Eliseyev, and V. A. Luibimov, Nuvlear Phys. 13, 541 (1959)
  18. R. B. Curtis and R. R. Lewis, Phys. Rev. 107, 543 (1957)
  19. G. E. Lee-Whiting, Can. J. Phys. 36, 252 (1958)
  20. T. Kotani and M. Ross, Progr. Theoret. Phys. (Kyoto) 20, 463 (1958)
  21. B. V. Geshkenbein, S. A. Nemirovskaya, and A. P. Rudik, J. Exptl. Theoret. Phys. 36, 360 (1959)
  22. M. L. Goldberger and S. B. Treiman, Phys. Rev. 111, 354 (1958)
  23. F. J. Ernest, R. G. Sachs, and N. K. Wali, Phys. Rev. 119, 1105 (1960)
  24. Y. Yamaguchi, review article, "Strange Particle Physics: CERN," 1959 (unpublished), p. 270
  25. Y. Fujii and S. Furuichi, Progr. Theoret. Phys. (Kyoto) 23, 251 (1960)
  26. Y. Nambu, Phys. Rev. Letters 4, 380 (1960) M. Gell-Mann and M. Levy, Nuovo cimento 16, 705 (1960) S. Okubo and R. E. Marshak, Phys. Rev. 123, 382 (1961)
  27. M. L. Goldberger and S. B. Treiman, Phys. Rev. 110, 1478 (1958)
  28. J. Fujita and M. Yamada, Progr. Theoret. Phys. (Kyoto) 10, 518 (1953) G. Alaga, D. Kofoed-Hansen, and A. Winther, Kgl. Danske Videnskab. Selskab, Mat.-fys. Medd. 28, No. 3 (1953) A. Schwarzschild (unpublished)
  29. M. Gell-Mann, Phys. Rev. 111, 362 (1958)
  30. M. E. Rose and R. K. Osborn, Phys. Rev. 93, 1315 (1954)
  31. M. Morita, Nuclear Phys. 14, 106 (1959) Phys. Rev. 113, 1584 (1959)
  32. to be published by E. J. Konopinski. [Phys. Rev. 60, 308 (1941)]
  33. A. F. J. Siegert, Phys. Rev. 52, 787 (1937) [34]
  34. R. G. Sachs, Nuclear Theory (Addison-Wesley Publishing Company, Inc., Reading, Massachusetts, 1953)

  35. Omitted endnote

  36. Omitted endnote

  37. T. Ahrens and E. Feenberg, Phys. Rev. 86, 64 (1952) M. Yamada, Progr. Theoret. Phys. (Kyoto) 9, 268 (1953)
  38. D. L. Pursey, Phil. Mag. 42, 1193 (1951)

  39. Omitted endnote

  40. H. Miyazawa, Progr. Theoret. Phys. (Kyoto) 5, 801 (1951) [41]
  41. S. D. Drell and J. D. Walecka, Phys. Rev. 120, 1069 (1960)
  42. J. Fujita, E. Kuroboshi, Z. Matumoto, and H. Miyazawa, Progr. Theoret. Phys. (Kyoto) 20, 308 (1958)
  43. Z. Matumoto and M. Yamada, Progr. Theoret. Phys. (Kyoto) 19, 285 (1958)
  44. E. J. Konopinski and G. E. Uhlenbeck, Phys. Rev. 60, 308 (1941)
  45. [1] (Plassman and Langer) Lee-Whiting ([5]) [8])

  46. Omitted endnote

  47. [5] [M. Yamada, A. Arima, and J. Fujita (unpublished).]
  48. A. Bohr, B. Mottelson, and D. Pines, Phys. Rev. 110, 936 (1958) S. T. Beliaev, Kgl. Danske Videnskab. Selskab, Mat.-fys. Medd. 31, Vol. 11 (1959)
  49. D. D. Hoppes, E. Ambler, E. Hayward, and Kaeser, preprint in Ce141 experiment (to be published) R. Wilkinson (private communication)
  50. G. E. Brown and M. Bolsteril, Phys. Rev. Letters 3, 472 (1959) G. E. Brown, C. Castillejo, and J. A. Evans, Nuclear Phys. 22, 1 (1960)

  51. Omitted endnote

  52. J. S. Levinger and H. A. Bethe, Phys. Rev. 78, 115 (1950) J. S. Levinger and D. C. Kent, ibid. 95, 418 (1954) M. Goldhaber and E. Teller, ibid. 74, 1046 (1948) M. Ferentz, M. Gell-Mann, and D. Pines, ibid. 92, 836 (1958) J. Fujita, Progr. Theoret. Phys. (Kyoto) 16, 112 (1956)

Outline

Information

Phys. Rev. 126, 202– Published 1 April, 1962
  • Received 4 August 1961

© 1962 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation