Axial-Vector-Meson Dominance and a New Estimate for the Decay <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><mi>γ</mi><mi>γ</mi></math></span>

Gerald W. Intemann

doi:10.1103/PhysRevD.2.2630

Access by Xinjiang University

Axial-Vector-Meson Dominance and a New Estimate for the Decay $K^{+} \to π^{+} γ γ$

Gerald W. Intemann

Department of Physics, State University of New York, Binghamton, New York 13901

PDF

Phys. Rev. D 2, 2630 – Published 1 December, 1970

DOI: https://doi.org/10.1103/PhysRevD.2.2630

Abstract

The radiative decay mode $K^{+} \to π^{+} γ γ$ is studied within the framework of an axial-vector dominance model (AVDM) with the exchange of the ${A_{1}}^{+} (1070)$ , $B^{+} (1235)$ , and ${K_{A}}^{+} (1320)$ dominating the decay. We obtain a new estimate for the branching ratio $R = \frac{Γ (K^{+} \to π^{+} γ γ)}{Γ (K^{+} \to all)} = 1.5 \times 10^{- 5} - 2.1 \times 10^{- 4}$ depending on the $d$ -wave-to- $s$ -wave ratio in axial-vector-meson decays. For a modest amount of $d$ wave, the AVDM result is comparable to the value for $R$ based on the $π^{0}$ -pole model and is also in good agreement with experiment. The $π^{+}$ energy spectrum is also calculated using AVDM and compared with the spectrum found in the $π^{0}$ -pole model. The significance of these results for the testing of a proposed mechanism for $K^{+} \to π^{+} π^{0}$ is also discussed.

References (20)

M. Chen et al., Phys. Rev. Letters 20, 73 (1968)
I. R. Lapidus, Nuovo Cimento 46A, 668 (1966)
G. Faldt, B. Petersson, and H. Pilkuhn, Nucl. Phys. B3, 234 (1967)
Y. Fujii, Phys. Rev. Letters 17, 613 (1966)
N. Cabibbo and R. Gatto, Phys. Rev. Letters 5, 382 (1960)
Y. Hara and Y. Nambu, Phys. Rev. Letters 16, 875 (1966)
S. Okubo, R. E. Marshak, and V. S. Mathur, Phys. Rev. Letters 19, 407 (1967)
J. J. Sakurai, in Lectures in Theoretical Physics (Gordon and Breach, New York, 1969), Vol. XI
Omitted endnote
N. Yeh (private communication)
A. Barbaro-Galtieri et al., Rev. Mod. Phys. 42, 87 (1970)
[11]
Omitted endnote
H. J. Schnitzer and S. Weinberg, Phys. Rev. 164, 1828 (1967)
K. Kawarabayashi and M. Suzuki, Phys. Rev. Letters 16, 255 (1966) Riazuddin and Fayyazuddin, Phys. Rev. 147, 1071 (1966)
S. Weinberg, Phys. Rev. Letters 18, 507 (1967)
S. Matsuda and S. Oneda, Phys. Rev. 158, 1594 (1967) ibid.174, 1992 (1968)
G. Fourez, Phys. Rev. 178, 2454 (1969)
C. S. Lai, Phys. Rev. 170, 1443 (1968)
S. Matsuda and S. Oneda, Phys. Rev. 185, 1887 (1969)

[c1] M. Chen et al., Phys. Rev. Letters 20, 73 (1968)

[c2] I. R. Lapidus, Nuovo Cimento 46A, 668 (1966)

[c3] G. Faldt, B. Petersson, and H. Pilkuhn, Nucl. Phys. B3, 234 (1967)

[c4] Y. Fujii, Phys. Rev. Letters 17, 613 (1966)

[c5] N. Cabibbo and R. Gatto, Phys. Rev. Letters 5, 382 (1960)

[c6] Y. Hara and Y. Nambu, Phys. Rev. Letters 16, 875 (1966)

[c7] S. Okubo, R. E. Marshak, and V. S. Mathur, Phys. Rev. Letters 19, 407 (1967)

[c8] J. J. Sakurai, in Lectures in Theoretical Physics (Gordon and Breach, New York, 1969), Vol. XI

[c9] Omitted endnote

[c10] N. Yeh (private communication)

[c11] A. Barbaro-Galtieri et al., Rev. Mod. Phys. 42, 87 (1970)

[c12] [11]

[c13] Omitted endnote

[c14] H. J. Schnitzer and S. Weinberg, Phys. Rev. 164, 1828 (1967)

[c15] K. Kawarabayashi and M. Suzuki, Phys. Rev. Letters 16, 255 (1966) Riazuddin and Fayyazuddin, Phys. Rev. 147, 1071 (1966)

[c16] S. Weinberg, Phys. Rev. Letters 18, 507 (1967)

[c17] S. Matsuda and S. Oneda, Phys. Rev. 158, 1594 (1967) ibid.174, 1992 (1968)

[c18] G. Fourez, Phys. Rev. 178, 2454 (1969)

[c19] C. S. Lai, Phys. Rev. 170, 1443 (1968)

[c20] S. Matsuda and S. Oneda, Phys. Rev. 185, 1887 (1969)

Physical Review D

Export citation

Export citation

Axial-Vector-Meson Dominance and a New Estimate for the Decay $K^{+} \to π^{+} γ γ$

Abstract

References (20)

Outline

Information

Filter

Filter

Article Lookup

Enter a citation

Axial-Vector-Meson Dominance and a New Estimate for the Decay K+→π+γγ

Abstract

References (20)

Axial-Vector-Meson Dominance and a New Estimate for the Decay $K^{+} \to π^{+} γ γ$