Four-Photon Decay of the Neutral Pion

R. L. Schult; B. -L. Young

doi:10.1103/PhysRevD.6.1988

Access by Xinjiang University

Four-Photon Decay of the Neutral Pion

R. L. Schult^*

B. -L. Young^†

Physics Department, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801

Institute for Atomic Research and Physics Department, Iowa State University, Ames, Iowa 50010

^*Work supported in part by the National Science Foundation under Grant No. NSF GP 25303.
^†Work performed in part in the Ames Laboratory of the U. S. Atomic Energy Commission. Contribution No. 2904.

PDF

Phys. Rev. D 6, 1988 – Published 1 October, 1972

DOI: https://doi.org/10.1103/PhysRevD.6.1988

Abstract

The decay rate for $π^{0} \to 4 γ$ is estimated to order $α^{4}$ in several models and found to be considerably suppressed by the angular momentum barriers required by gauge invariance and even further suppressed in models satisfying a partially-conserved-axial-vector-current condition. Typical values for $\frac{Γ (π^{0} \to 4 γ)}{Γ (π^{0} \to 2 γ)}$ range from 4 × $10^{- 14}$ to $10^{- 16}$ . We conclude that the dominant contribution is likely to come from an electron-loop diagram contributing in order $α^{6}$ but without angular momentum barriers.

References (15)

A. V. Tarasov, Yad. Fiz. 5, 626 (1967) [Sov. J. Nucl. Phys. 5, 445 (1967)]
J. Duclos, D. Freytag, K. Schlüpmann, V. Soergel, J. Heintze, and H. Rieseberg, Phys. Letters 19, 253 (1965) V. M. Kut'in, V. I. Petrukhin, and Yu D. Prokoshkin, ZhETF Pis. Red. 2, 387 (1965) [JETP Lett. 2, 243 (1965)]
F. E. Low, Phys. Rev. 110, 974 (1958)
W. A. Bardeen, Phys. Rev. 184, 1848 (1969) R. W. Brown, C.-C. Shih, and B.-L. Young, ibid. 186, 1491 (1969)
D. G. Sutherland, Nucl. Phys. B2, 433 (1967) S. Adler, Phys. Rev. 177, 2426 (1969) J. S. Bell and R. Jackiw, Nuovo Cimento 60A, 47 (1969)
T. P. Das, V. S. Mathur, and S. Okubo, Phys. Rev. Letters 19, 470 (1967)
R. J. Oakes and J. J. Sakurai, Phys. Rev. Letters 19, 1266 (1967)
M. Gell-Mann, D. Sharp, and W. G. Wagner, Phys. Rev. Letters 8, 261 (1962)
J. Steinberger, Phys. Rev. 76, 1180 (1949)
W. Pauli and F. Villars, Rev. Mod. Phys. 21, 434 (1949) S. Gupta, Proc. Phys. Soc. (London) A66, 129 (1953)
S. Gasiorowicz and D. A. Geffen, Rev. Mod. Phys. 41, 531 (1969)
G. Gounaris, Phys. Rev. D 1, 1426 (1970) private communication
S. Adler and W. A. Bardeen, Phys. Rev. 182, 1517 (1969)
M. Gell-Mann and M. Lévy, Nuovo Cimento 16, 705 (1960)
P. Pascual and E. deRafael, Lett. Nuovo Cimento 4, 1144 (1970)

[c1] A. V. Tarasov, Yad. Fiz. 5, 626 (1967) [Sov. J. Nucl. Phys. 5, 445 (1967)]

[c2] J. Duclos, D. Freytag, K. Schlüpmann, V. Soergel, J. Heintze, and H. Rieseberg, Phys. Letters 19, 253 (1965) V. M. Kut'in, V. I. Petrukhin, and Yu D. Prokoshkin, ZhETF Pis. Red. 2, 387 (1965) [JETP Lett. 2, 243 (1965)]

[c3] F. E. Low, Phys. Rev. 110, 974 (1958)

[c4] W. A. Bardeen, Phys. Rev. 184, 1848 (1969) R. W. Brown, C.-C. Shih, and B.-L. Young, ibid. 186, 1491 (1969)

[c5] D. G. Sutherland, Nucl. Phys. B2, 433 (1967) S. Adler, Phys. Rev. 177, 2426 (1969) J. S. Bell and R. Jackiw, Nuovo Cimento 60A, 47 (1969)

[c6] T. P. Das, V. S. Mathur, and S. Okubo, Phys. Rev. Letters 19, 470 (1967)

[c7] R. J. Oakes and J. J. Sakurai, Phys. Rev. Letters 19, 1266 (1967)

[c8] M. Gell-Mann, D. Sharp, and W. G. Wagner, Phys. Rev. Letters 8, 261 (1962)

[c9] J. Steinberger, Phys. Rev. 76, 1180 (1949)

[c10] W. Pauli and F. Villars, Rev. Mod. Phys. 21, 434 (1949) S. Gupta, Proc. Phys. Soc. (London) A66, 129 (1953)

[c11] S. Gasiorowicz and D. A. Geffen, Rev. Mod. Phys. 41, 531 (1969)

[c12] G. Gounaris, Phys. Rev. D 1, 1426 (1970) private communication

[c13] S. Adler and W. A. Bardeen, Phys. Rev. 182, 1517 (1969)

[c14] M. Gell-Mann and M. Lévy, Nuovo Cimento 16, 705 (1960)

[c15] P. Pascual and E. deRafael, Lett. Nuovo Cimento 4, 1144 (1970)

Physical Review D

Export citation

Export citation

Four-Photon Decay of the Neutral Pion

Abstract

References (15)

Outline

Information

Filter

Filter

Article Lookup

Enter a citation