Lower Bound on the Magnitude of the Rate of <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mi>K</mi></mrow><mrow><mo>+</mo></mrow></msup></mrow><mo>→</mo><mrow><msup><mrow><mi>π</mi></mrow><mrow><mo>+</mo></mrow></msup></mrow><mo>+</mo><mrow><msup><mrow><mi>e</mi></mrow><mrow><mo>+</mo></mrow></msup></mrow><mo>+</mo><mrow><msup><mrow><mi>e</mi></mrow><mrow><mo>−</mo></mrow></msup></mrow></math></span>

Gino Segrè; David Wilkinson

doi:10.1103/PhysRevD.7.804

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Lower Bound on the Magnitude of the Rate of $K^{+} \to π^{+} + e^{+} + e^{-}$

Gino Segrè and David Wilkinson^*

Department of Physics, University of Pennsylvania, Philadelphia, Pennsylvania 19104

^*Thouron Fellow.

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Phys. Rev. D 7, 804 – Published 1 February, 1973

DOI: https://doi.org/10.1103/PhysRevD.7.804

Abstract

It is shown that a lower bound on the decay rate $K^{+} \to π^{+} e^{+} e^{-}$ can be obtained by calculation of the absorptive part of the amplitude to which only the connected three-pion intermediate state contributes significantly. Some remarks on pole-model calculations are also included.

References (16)

A. R. Clark, T. Ellioff, R. C. Field, H. J. Frisch, R. P. Johnson, L. T. Kerth, and W. A. Wenzel, Phys. Rev. Letters 26, 1667 (1971)
L. M. Sehgal, Phys. Rev. 183, 1511 (1969) Phys. Rev. D 4, 1582(E) (1971)
L. B. Okun and A. Rudik, Zh. Eksp. Teor. Fiz. 39, 600 (1960) [Sov. Phys. JETP 12, 422 (1961)]
N. Cabibbo and E. Ferrari, Nuovo Cimento 18, 928 (1960)
M. Baker and S. Glashow, Nuovo Cimento 25, 857 (1962)
M. A. B. Bég, Phys. Rev. 132, 426 (1963)
K. Tanaka, Phys. Rev. 140, B463 (1965)
V. K. Ignatovich and B. V. Struminsky, Phys. Letters 24, 13 (1969)
A. Pais and S. Treiman, Phys. Rev. 176, 1974 (1968)
S. Pakvasa and W. A. Simmons, Phys. Rev. 183, 1215 (1969)
Particle Data Group, Rev. Mod. Phys. 43, S1 (1971)
S. Gasiorowicz and D. Geffen, Rev. Mod. Phys. 41, 3531 (1971)
C. Zemach, Phys. Rev. 133, B1201 (1964)
S. Weinberg, Phys. Rev. Letters 18, 507 (1967)
J. D. Bjorken and S. D. Drell, Relativistic Quantum Mechanics (McGraw-Hill, New York, 1964)
N. Christ and T. D. Lee, Phys. Rev. D 4, 203 (1971)

[c1] A. R. Clark, T. Ellioff, R. C. Field, H. J. Frisch, R. P. Johnson, L. T. Kerth, and W. A. Wenzel, Phys. Rev. Letters 26, 1667 (1971)

[c2] L. M. Sehgal, Phys. Rev. 183, 1511 (1969) Phys. Rev. D 4, 1582(E) (1971)

[c3] L. B. Okun and A. Rudik, Zh. Eksp. Teor. Fiz. 39, 600 (1960) [Sov. Phys. JETP 12, 422 (1961)]

[c4] N. Cabibbo and E. Ferrari, Nuovo Cimento 18, 928 (1960)

[c5] M. Baker and S. Glashow, Nuovo Cimento 25, 857 (1962)

[c6] M. A. B. Bég, Phys. Rev. 132, 426 (1963)

[c7] K. Tanaka, Phys. Rev. 140, B463 (1965)

[c8] V. K. Ignatovich and B. V. Struminsky, Phys. Letters 24, 13 (1969)

[c9] A. Pais and S. Treiman, Phys. Rev. 176, 1974 (1968)

[c10] S. Pakvasa and W. A. Simmons, Phys. Rev. 183, 1215 (1969)

[c11] Particle Data Group, Rev. Mod. Phys. 43, S1 (1971)

[c12] S. Gasiorowicz and D. Geffen, Rev. Mod. Phys. 41, 3531 (1971)

[c13] C. Zemach, Phys. Rev. 133, B1201 (1964)

[c14] S. Weinberg, Phys. Rev. Letters 18, 507 (1967)

[c15] J. D. Bjorken and S. D. Drell, Relativistic Quantum Mechanics (McGraw-Hill, New York, 1964)

[c16] N. Christ and T. D. Lee, Phys. Rev. D 4, 203 (1971)

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Lower Bound on the Magnitude of the Rate of $K^{+} \to π^{+} + e^{+} + e^{-}$

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Lower Bound on the Magnitude of the Rate of K+→π++e++e−

Abstract

References (16)

Lower Bound on the Magnitude of the Rate of $K^{+} \to π^{+} + e^{+} + e^{-}$