<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mi>K</mi></mrow><mrow><mn>0</mn></mrow></msup></mrow><mo>−</mo><mrow><msup><mover><mrow><mi>K</mi></mrow><mrow><mi>¯</mi></mrow></mover><mrow><mn>0</mn></mrow></msup></mrow></math> States in a <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mi>K</mi></mrow><mrow><mi>L</mi></mrow></msub></mrow><mo>−</mo><mrow><msub><mrow><mi>K</mi></mrow><mrow><mi>S</mi></mrow></msub></mrow></math> Phenomenological <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>S</mi></math> Matrix

Sudhir Kumar

doi:10.1103/PhysRevD.6.2000

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$K^{0} - {\bar{K}}^{0}$ States in a $K_{L} - K_{S}$ Phenomenological $S$ Matrix

Sudhir Kumar

Department of Physics, University of Notre Dame, Notre Dame, Indiana 46556

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Phys. Rev. D 6, 2000 – Published 1 October, 1972

DOI: https://doi.org/10.1103/PhysRevD.6.2000

Abstract

It is shown that for a $CPT$ -invariant $S$ matrix which treats $K_{S}$ and $K_{L}$ states as overlapping resonances, one can always define $K^{0}$ and ${\bar{K}}^{0}$ states which are consistent with the usual phenomenology. In particular the unitarity and $CPT$ analysis of the $K_{L} \to μ^{+} μ^{-}$ puzzle are contained in such a phenomenological $S$ matrix.

References (9)

W. D. McGlinn and D. F. Polis, Phys. Rev. Letters 22, 908 (1969) K. W. McVoy, ibid. 23, 56 (1969) L. Durand III and K. W. McVoy, ibid. 23, 59 (1969) G. C. Wick, Phys. Letters 30B, 126 (1969) Y. Dothan and D. Horn, Phys. Rev. D 1, 916 (1970) L. Wolfenstein, Phys. Rev. 188, 2536 (1969)
L. Stodolsky, Phys. Rev. D 1, 2683 (1970)
T. T. Gien, Progr. Theoret. Phys. (Kyoto) 45, 1203 (1971) W. Kerler, Phys. Rev. D 3, 2909 (1971)
Sudhir Kumar, Phys. Rev. D 5, 2128 (1972)
J. S. Bell and J. Steinberger, in Proceedings of the Oxford International Conference on Elementary Particles, 1965 (Rutherford High Energy Laboratory, Chilton, Berkshire, England, 1966), pp. 195-222
M. K. Gaillard, Phys. Letters 36B, 114 (1971)
Gaillard ([6])
McVoy's ([1]) Durand and McVoy ([1]) ([1])
R. G. Sachs, Ann. Phys. (N.Y.) 22, 239 (1963) P. K. Kabir, The $CP$ Puzzle (Academic, London and New York, 1968)

[c1] W. D. McGlinn and D. F. Polis, Phys. Rev. Letters 22, 908 (1969) K. W. McVoy, ibid. 23, 56 (1969) L. Durand III and K. W. McVoy, ibid. 23, 59 (1969) G. C. Wick, Phys. Letters 30B, 126 (1969) Y. Dothan and D. Horn, Phys. Rev. D 1, 916 (1970) L. Wolfenstein, Phys. Rev. 188, 2536 (1969)

[c2] L. Stodolsky, Phys. Rev. D 1, 2683 (1970)

[c3] T. T. Gien, Progr. Theoret. Phys. (Kyoto) 45, 1203 (1971) W. Kerler, Phys. Rev. D 3, 2909 (1971)

[c4] Sudhir Kumar, Phys. Rev. D 5, 2128 (1972)

[c5] J. S. Bell and J. Steinberger, in Proceedings of the Oxford International Conference on Elementary Particles, 1965 (Rutherford High Energy Laboratory, Chilton, Berkshire, England, 1966), pp. 195-222

[c6] M. K. Gaillard, Phys. Letters 36B, 114 (1971)

[c7] Gaillard ([6])

[c8] McVoy's ([1]) Durand and McVoy ([1]) ([1])

[c9] R. G. Sachs, Ann. Phys. (N.Y.) 22, 239 (1963) P. K. Kabir, The $CP$ Puzzle (Academic, London and New York, 1968)

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$K^{0} - {\bar{K}}^{0}$ States in a $K_{L} - K_{S}$ Phenomenological $S$ Matrix

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K0−K¯0 States in a KL−KS Phenomenological S Matrix

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$K^{0} - {\bar{K}}^{0}$ States in a $K_{L} - K_{S}$ Phenomenological $S$ Matrix