Some rare decay modes of the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>K</mi></math> meson in the modified baryon-loop model. <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><msup><mrow><mi>π</mi></mrow><mrow><mn>0</mn></mrow></msup></mrow><mi>γ</mi><mi>γ</mi></math> and <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><msup><mrow><mi>π</mi></mrow><mrow><mn>0</mn></mrow></msup></mrow><mrow><msup><mrow><mi>e</mi></mrow><mrow><mo>+</mo></mrow></msup></mrow><mrow><msup><mrow><mi>e</mi></mrow><mrow><mo>−</mo></mrow></msup></mrow></math> decays

R. Rockmore; A. N. Kamal

doi:10.1103/PhysRevD.17.2503

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Some rare decay modes of the $K$ meson in the modified baryon-loop model. $K_{L} \to π^{0} γ γ$ and $K_{L} \to π^{0} e^{+} e^{-}$ decays

R. Rockmore

A. N. Kamal

Department of Physics, Rutgers University, New Brunswick, New Jersey 08903

Theoretical Physics Institute and Department of Physics, University of Alberta, Edmonton, Alberta, Canada T6G 2J1

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Phys. Rev. D 17, 2503 – Published 1 May, 1978

DOI: https://doi.org/10.1103/PhysRevD.17.2503

Abstract

The $K_{L} \to π^{0} γ γ$ decay rate calculated in the zero-parameter modified baryon-loop model is found to be 38 and 43 $\sec^{- 1}$ for mean vector-meson masses of 0.9 and 0.8 GeV respectively. Using unitarity, a lower bound (and estimate) is obtained on the decay rate for $K_{L} \to π^{0} e^{+} e^{-}$ which goes via $K_{L} \to π^{0} (virtual) γ (virtual) γ$ in the modified loop model. We find $[\frac{Γ (K_{L} \to π^{0} e^{+} e^{-})}{Γ (K_{L} \to all)}] ≳ 2.1 \times 10^{- 13}$ .

References (9)

G. J. Donaldson, thesis (Stanford University, 1974), SLAC Report No. 184 (unpublished)
L. Littenberg, in Proceedings of XVIII International Conference on High Energy Physics, Tbilisi, 1976, edited by N. N. Bogolubov (JINR, Dubna, U.S.S.R., 1977), Vol. II, p. B171
R. Rockmore and T. F. Wong, Phys. Rev. Lett. 28, 1736 (1972) Phys. Rev. D 7, 3425 (1973) R. Rockmore, J. Smith, and T. F. Wong, ibid. 8, 3224 (1973) R. Rockmore, ibid. 8, 3226 (1973) A. N. Kamal and R. Rockmore, ibid. 9, 752 (1974) ibid.10, 2091 (1974) R. J. Cence et al. [ 10, 776 (1974)] M. K. Gaillard and B. W. Lee [ 10, 897 (1974)]
Particle Data Group, Rev. Mod. Phys. 48, S1 (1976)
G. W. Intemann, Phys. Rev. D 12, 654 (1976)
M. Moshe and P. Singer, Phys. Rev. D 6, 1379 (1972) Phys. Lett. 51B, 367 (1974)
L. M. Sehgal, Phys. Rev. D 6, 367 (1972)
[T. F. Wong (private communication)]
Omitted endnote

[c1] G. J. Donaldson, thesis (Stanford University, 1974), SLAC Report No. 184 (unpublished)

[c2] L. Littenberg, in Proceedings of XVIII International Conference on High Energy Physics, Tbilisi, 1976, edited by N. N. Bogolubov (JINR, Dubna, U.S.S.R., 1977), Vol. II, p. B171

[c3] R. Rockmore and T. F. Wong, Phys. Rev. Lett. 28, 1736 (1972) Phys. Rev. D 7, 3425 (1973) R. Rockmore, J. Smith, and T. F. Wong, ibid. 8, 3224 (1973) R. Rockmore, ibid. 8, 3226 (1973) A. N. Kamal and R. Rockmore, ibid. 9, 752 (1974) ibid.10, 2091 (1974) R. J. Cence et al. [ 10, 776 (1974)] M. K. Gaillard and B. W. Lee [ 10, 897 (1974)]

[c4] Particle Data Group, Rev. Mod. Phys. 48, S1 (1976)

[c5] G. W. Intemann, Phys. Rev. D 12, 654 (1976)

[c6] M. Moshe and P. Singer, Phys. Rev. D 6, 1379 (1972) Phys. Lett. 51B, 367 (1974)

[c7] L. M. Sehgal, Phys. Rev. D 6, 367 (1972)

[c8] [T. F. Wong (private communication)]

[c9] Omitted endnote

Physical Review D

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Some rare decay modes of the $K$ meson in the modified baryon-loop model. $K_{L} \to π^{0} γ γ$ and $K_{L} \to π^{0} e^{+} e^{-}$ decays

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Some rare decay modes of the K meson in the modified baryon-loop model. KL→π0γγ and KL→π0e+e− decays

Abstract

References (9)

Some rare decay modes of the $K$ meson in the modified baryon-loop model. $K_{L} \to π^{0} γ γ$ and $K_{L} \to π^{0} e^{+} e^{-}$ decays