Selection Rules and Some Relations in <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mi>W</mi></mrow><mrow><mn>3</mn></mrow></msub></mrow></math></span> Symmetry

Mahiko Suzuki

doi:10.1103/PhysRev.136.B272

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Selection Rules and Some Relations in $W_{3}$ Symmetry

Mahiko Suzuki

Department of Physics, University of Tokyo, Tokyo, Japan

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Phys. Rev. 136, B272 – Published 12 October, 1964

DOI: https://doi.org/10.1103/PhysRev.136.B272

Abstract

In the limit of $W_{3}$ symmetry proposed by Schwinger, selection rules and some relations among partial cross sections are derived through elementary calculations. One of the main results is that $π + N \to Σ + n$ pseudoscalar mesons, $\bar{K} + N \to Σ + n$ pseudoscalar mesons, and $\bar{K} + N \to Ξ + n$ pseudoscalar mesons are forbidden as well as their crossed reactions. Many of the selection rules and the relations derived here are badly violated at least in low-energy region. However, they should be tested with experimental data at much higher energies than those available at present.

References (15)

J. Schwinger, Phys. Rev. Letters 12, 237 (1964)
Omitted endnote
F. C. Crawford in Proceedings of 1962 Internationa Conference on High-Energy Physics at CERN (CERN, Geneva, 1962), p. 270 Phys. Rev. Letters 3, 394 (1959)
L. Bertanza, P. L. Connolly, B. B. Culwick, F. R. Eisler, and T. Morris, Phys. Rev. Letters 8, 332 (1962)
R. K. Adair and L. B. Leipuner, Phys. Rev. 109, 1358 (1958)
L. L. Yoder, C. T. Coffin, D. I. Meyer, and K. M. Terwilliger, Phys. Rev. 132, 1778 (1963)
P. L. Bastien, J. P. Berge, O. H. Dahl, M. Ferro-Luzi, et al., in [3], p. 373
L. Bertanza, V. Brisson, P. L. Connolly, E. L. Hart, et al., in [3], p. 284
W. A. Cooper, H. Courant, H. Filthuth, E. I. Malamud, et al., in [3], p. 298
K. J. Foley, S. J. Lindenbaum, W. A. Love, S. Ozaki, J. J. Russell, and L. C. L. Yuan, Phys. Rev. Letters 11, 425 (1963)
K. J. Foley, S. J. Lindenbaum, W. A. Love, S. Ozaki, J. J. Russell, and L. C. L. Yuan, Phys. Rev. Letters 11, 503 (1963)
M. Suzuki, Phys. Letters 6, 204 (1963)
R. Armenteros, L. Montanet, D. R. O. Morrison, S. Nilsson et al., in [3], p. 351
A. Bigi, S. Brandt, R. Carrara, W. A. Cooper, et al., in [3], p. 247
L. B. Okun and I. Y. Pomeranchuk, Zh. Eksperim. i Teor. Fiz. 30, 424 (1956) [English transl.: Soviet Phys.—JETP 3, 307 (1956)]

[c1] J. Schwinger, Phys. Rev. Letters 12, 237 (1964)

[c2] Omitted endnote

[c3] F. C. Crawford in Proceedings of 1962 Internationa Conference on High-Energy Physics at CERN (CERN, Geneva, 1962), p. 270 Phys. Rev. Letters 3, 394 (1959)

[c4] L. Bertanza, P. L. Connolly, B. B. Culwick, F. R. Eisler, and T. Morris, Phys. Rev. Letters 8, 332 (1962)

[c5] R. K. Adair and L. B. Leipuner, Phys. Rev. 109, 1358 (1958)

[c6] L. L. Yoder, C. T. Coffin, D. I. Meyer, and K. M. Terwilliger, Phys. Rev. 132, 1778 (1963)

[c7] P. L. Bastien, J. P. Berge, O. H. Dahl, M. Ferro-Luzi, et al., in [3], p. 373

[c8] L. Bertanza, V. Brisson, P. L. Connolly, E. L. Hart, et al., in [3], p. 284

[c9] W. A. Cooper, H. Courant, H. Filthuth, E. I. Malamud, et al., in [3], p. 298

[c10] K. J. Foley, S. J. Lindenbaum, W. A. Love, S. Ozaki, J. J. Russell, and L. C. L. Yuan, Phys. Rev. Letters 11, 425 (1963)

[c11] K. J. Foley, S. J. Lindenbaum, W. A. Love, S. Ozaki, J. J. Russell, and L. C. L. Yuan, Phys. Rev. Letters 11, 503 (1963)

[c12] M. Suzuki, Phys. Letters 6, 204 (1963)

[c13] R. Armenteros, L. Montanet, D. R. O. Morrison, S. Nilsson et al., in [3], p. 351

[c14] A. Bigi, S. Brandt, R. Carrara, W. A. Cooper, et al., in [3], p. 247

[c15] L. B. Okun and I. Y. Pomeranchuk, Zh. Eksperim. i Teor. Fiz. 30, 424 (1956) [English transl.: Soviet Phys.—JETP 3, 307 (1956)]

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Selection Rules and Some Relations in W3 Symmetry

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Selection Rules and Some Relations in $W_{3}$ Symmetry