Meson Theory of <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>β</mi></math></span>-Decay and the <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>Δ</mi><mi>L</mi></math></span>-Forbidden Transitions

Seitaro Nakamura

doi:10.1103/PhysRev.89.16

Access by Xinjiang University

Meson Theory of $β$ -Decay and the $Δ L$ -Forbidden Transitions

Seitaro Nakamura

Department of Physics, University of Tokyo, Tokyo, Japan

PDF

Phys. Rev. 89, 16 – Published 1 January, 1953

DOI: https://doi.org/10.1103/PhysRev.89.16

Abstract

Existence of the $β$ -meson of vector type which is neither a $π$ - nor $μ$ -meson and which transmits the $β$ -decay of nuclei has been tantatively assumed, the results thus derived being compared with experiments on $β$ -decay. The differences between the $β$ -meson theory and the phenomenological Fermi theory lie in the natural deduction of the vector interaction as well as the introduction of new nuclear matrix elements which are characteristic of the meson dipole. The selection rules for the $Δ L$ -forbidden transitions are involved in these matrix elements, the orders of which are expected to be that of the unfavored parity transitions in each degree of forbidden transitions. The observability of a free $β$ -meson is also discussed.

References (33)

H. Yukawa, Proc. Phys. Math. Soc. Japan 17, 48 (1935), third series S. Sakata, 23, 291 (1941) ibid.24, 843 (1942) ibid.25, 86 (1943) H. A. Bethe and L. W. Nordheim, Phys. Rev. 57, 998 (1940)
Taketani, Nakamura, Ono, and Sasaki, Phys. Rev. 76, 60 (1949) Nakamura, Fukuda, Ono, Sasaki, and Taketani, Prog. Theor. Phys. 5, 740 (1950)
H. Yukawa, Revs. Modern Phys. 21, 474 (1949)
J. Steinberger, Phys. Rev. 76, 1180 (1949)
M. Ruderman and R. Finkelstein, Phys. Rev. 76, 1458 (1949)
H. L. Friedman and J. Rainwater, Phys. Rev. 84, 684 (1951)
Sasaki, Nakamura, and Hayakawa, Prog. Theor. Phys. 3, 454 (1948)
T. Tanikawa, Prog. Theor. Phys. 3, 315 (1948)
E. R. Caianiello, Phys. Rev. 81, 625 (1951)
C. S. Wu, Revs. Modern Phys. 22, 386 (1950) I. Shaknov, Phys. Rev. 82, 333 (1951)
E. J. Konopinski, Revs. Modern Phys. 15, 209 (1945)
E. J. Konopinski and E. Uhlenbeck, Phys. Rev. 60, 308 (1941)
A. M. Smith, Phys. Rev. 82, 955 (1951)
L. W. Nordheim, Revs. Modern Phys. 23, 327 (1951)
L. M. Langer, Phys. Rev. 84, 1059 (1951) Nakamura, Umezawa, and Takebe, 83, 1273 (1951)
J. D. Seagrave, Phys. Rev. 85, 197 (1952)
Mayer, Moszkowski, and Nordheim, Revs. Modern Phys. 23, 315 (1951) L. W. Nordheim, 23, 322 (1951)
H. Brysk. Phvs. Rev. 84, 362 (1951)
Mayer, Moszkowski, and Nordheim, Revs. Modern Phys. 23, 315 (1951) L. W. Nordheim, Phys. Rev. 75, 1894 (1949)
E. Feenberg and K. C. Hammack, Phys. Rev. 75, 1877 (1949)
S. A. Moszkowski, Phys. Rev. 82, 118 (1951) [21]
H. Horie and M. Umezawa, Phys. Rev. 83, 1253 (1951)
E. J. Konopinski and L. M. Langer, in Annual Reviews of Nuclear Science, Vol. 2, (Annual Reviews, Inc., Stanford) in press
S. Nakamura, Prog. Theor. Phys. (to be published)
T. Ahrens and E. Feenberg, Phys. Rev. 86, 64 (1952)
A. G. Petschek and R. E. Marshak, Phys. Rev. 85, 698 (1952) E. C. Nelson, 60, 830 (1941) T. Miyazima, Proc. Phys. Math. Soc. Japan (in Japanese) 16, 340 (1941) F. J. Dyson, Phys. Rev. 73, 929 (1948)
[9] H. A. Bethe and L. W. Nordheim, Phys. Rev. 57, 998 (1940)
R. J. Finkelstein, Phys. Rev. 72, 415 (1947) Fukuda, Hayakawa, and Miyamoto, Prog. Theor. Phys. 5, 283, 352 (1950) Ozaki, Oneda, and Sasaki, 5, 25, 165 (1950)
Bunker, Langer, and Moffat, Phys. Rev. 80, 468 (1950)
E. Kondaiah, Arkiv Fys. 4, No. 2 (1951)
Nakamura, Umezawa, and Takebe, Phys. Rev. 84, 865 (1951)
A. G. Petschek and R. E. Marshak, Phys. Rev. 85, 698 (1952)
Taketani, Umezawa, Nakamura, and Ono, Prog. Theor. Phys. (to be published)

[c1] H. Yukawa, Proc. Phys. Math. Soc. Japan 17, 48 (1935), third series S. Sakata, 23, 291 (1941) ibid.24, 843 (1942) ibid.25, 86 (1943) H. A. Bethe and L. W. Nordheim, Phys. Rev. 57, 998 (1940)

[c2] Taketani, Nakamura, Ono, and Sasaki, Phys. Rev. 76, 60 (1949) Nakamura, Fukuda, Ono, Sasaki, and Taketani, Prog. Theor. Phys. 5, 740 (1950)

[c3] H. Yukawa, Revs. Modern Phys. 21, 474 (1949)

[c4] J. Steinberger, Phys. Rev. 76, 1180 (1949)

[c5] M. Ruderman and R. Finkelstein, Phys. Rev. 76, 1458 (1949)

[c6] H. L. Friedman and J. Rainwater, Phys. Rev. 84, 684 (1951)

[c7] Sasaki, Nakamura, and Hayakawa, Prog. Theor. Phys. 3, 454 (1948)

[c8] T. Tanikawa, Prog. Theor. Phys. 3, 315 (1948)

[c9] E. R. Caianiello, Phys. Rev. 81, 625 (1951)

[c10] C. S. Wu, Revs. Modern Phys. 22, 386 (1950) I. Shaknov, Phys. Rev. 82, 333 (1951)

[c11] E. J. Konopinski, Revs. Modern Phys. 15, 209 (1945)

[c12] E. J. Konopinski and E. Uhlenbeck, Phys. Rev. 60, 308 (1941)

[c13] A. M. Smith, Phys. Rev. 82, 955 (1951)

[c14] L. W. Nordheim, Revs. Modern Phys. 23, 327 (1951)

[c15] L. M. Langer, Phys. Rev. 84, 1059 (1951) Nakamura, Umezawa, and Takebe, 83, 1273 (1951)

[c16] J. D. Seagrave, Phys. Rev. 85, 197 (1952)

[c17] Mayer, Moszkowski, and Nordheim, Revs. Modern Phys. 23, 315 (1951) L. W. Nordheim, 23, 322 (1951)

[c18] H. Brysk. Phvs. Rev. 84, 362 (1951)

[c19] Mayer, Moszkowski, and Nordheim, Revs. Modern Phys. 23, 315 (1951) L. W. Nordheim, Phys. Rev. 75, 1894 (1949)

[c20] E. Feenberg and K. C. Hammack, Phys. Rev. 75, 1877 (1949)

[c21] S. A. Moszkowski, Phys. Rev. 82, 118 (1951) [21]

[c22] H. Horie and M. Umezawa, Phys. Rev. 83, 1253 (1951)

[c23] E. J. Konopinski and L. M. Langer, in Annual Reviews of Nuclear Science, Vol. 2, (Annual Reviews, Inc., Stanford) in press

[c24] S. Nakamura, Prog. Theor. Phys. (to be published)

[c25] T. Ahrens and E. Feenberg, Phys. Rev. 86, 64 (1952)

[c26] A. G. Petschek and R. E. Marshak, Phys. Rev. 85, 698 (1952) E. C. Nelson, 60, 830 (1941) T. Miyazima, Proc. Phys. Math. Soc. Japan (in Japanese) 16, 340 (1941) F. J. Dyson, Phys. Rev. 73, 929 (1948)

[c27] [9] H. A. Bethe and L. W. Nordheim, Phys. Rev. 57, 998 (1940)

[c28] R. J. Finkelstein, Phys. Rev. 72, 415 (1947) Fukuda, Hayakawa, and Miyamoto, Prog. Theor. Phys. 5, 283, 352 (1950) Ozaki, Oneda, and Sasaki, 5, 25, 165 (1950)

[c29] Bunker, Langer, and Moffat, Phys. Rev. 80, 468 (1950)

[c30] E. Kondaiah, Arkiv Fys. 4, No. 2 (1951)

[c31] Nakamura, Umezawa, and Takebe, Phys. Rev. 84, 865 (1951)

[c32] A. G. Petschek and R. E. Marshak, Phys. Rev. 85, 698 (1952)

[c33] Taketani, Umezawa, Nakamura, and Ono, Prog. Theor. Phys. (to be published)

Physical Review Journals Archive

Export citation

Export citation

Meson Theory of $β$ -Decay and the $Δ L$ -Forbidden Transitions

Abstract

References (33)

Outline

Information

Filter

Filter

Article Lookup

Enter a citation

Meson Theory of β-Decay and the ΔL-Forbidden Transitions

Abstract

References (33)

Meson Theory of $β$ -Decay and the $Δ L$ -Forbidden Transitions