Application of a Finite Dispersion Approach to the Calculation of the <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>ω</mi><mo>→</mo><mi>π</mi><mi>π</mi><mi>γ</mi></math></span> Decay

R. Aviv; S. Nussinov

doi:10.1103/PhysRevD.2.209

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Application of a Finite Dispersion Approach to the Calculation of the $ω \to π π γ$ Decay

R. Aviv and S. Nussinov

Department of Physics and Astronomy, Tel-Aviv University, Ramat Aviv, Israel

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Phys. Rev. D 2, 209 – Published 1 July, 1970

DOI: https://doi.org/10.1103/PhysRevD.2.209

Abstract

The contribution of high-mass states in the dispersion relation for decay amplitudes is considered. A finite dispersion relation (FDR) implemented by duality and finite-energy sum rules (FESR), is suggested as a useful tool for such calculations, and an application to the decay $ω \to π π γ$ is done in some detail.

References (22)

R. Dolen, D. Horn, and C. Schmid, Phys. Rev. 166, 1768 (1968)
K. Igi and S. Matsuda, Phys. Rev. Letters 18, 625 (1967) ibid.18, 822 (1967)
G. Veneziano, Nuovo Cimento 57A, 190 (1968)
C. Lovelace, Phys. Letters 28B, 264 (1968)
A. Capella et al. [Nuovo Cimento 64A, 361 (1969)] G. P. Canning [Nucl. Phys. B14, 432 (1969)] P. Carruthers and E. Lasley [Phys. Rev. D (to be published)]
Z. S. Strugalski et al., Phys. Letters 29B, 532 (1969)
W. Deinet et al., Phys. Letters 30B, 426 (1969)
P. Singer, Phys. Rev. 128, 2789 (1962) ibid.130, 2441 (1963)
J. Yellin, Phys. Rev. 147, 1080 (1966)
S. M. Renard, Nuovo Cimento 62A, 475 (1969)
Omitted endnote
Omitted endnote
P. G. O. Freund, Phys. Rev. Letters 20, 235 (1968) H. Harari, ibid. 20, 1395 (1968)
M. Kugler, Phys. Letters 31B, 379 (1970)
Omitted endnote
Omitted endnote
M. Gell-Mann, D. Sharp, and W. Wagner, Phys. Rev. Letters 8, 261 (1962)
J. Augustin et al., Phys. Letters 28B, 503 (1969)
Omitted endnote
Omitted endnote
Omitted endnote
[4]

[c1] R. Dolen, D. Horn, and C. Schmid, Phys. Rev. 166, 1768 (1968)

[c2] K. Igi and S. Matsuda, Phys. Rev. Letters 18, 625 (1967) ibid.18, 822 (1967)

[c3] G. Veneziano, Nuovo Cimento 57A, 190 (1968)

[c4] C. Lovelace, Phys. Letters 28B, 264 (1968)

[c5] A. Capella et al. [Nuovo Cimento 64A, 361 (1969)] G. P. Canning [Nucl. Phys. B14, 432 (1969)] P. Carruthers and E. Lasley [Phys. Rev. D (to be published)]

[c6] Z. S. Strugalski et al., Phys. Letters 29B, 532 (1969)

[c7] W. Deinet et al., Phys. Letters 30B, 426 (1969)

[c8] P. Singer, Phys. Rev. 128, 2789 (1962) ibid.130, 2441 (1963)

[c9] J. Yellin, Phys. Rev. 147, 1080 (1966)

[c10] S. M. Renard, Nuovo Cimento 62A, 475 (1969)

[c11] Omitted endnote

[c12] Omitted endnote

[c13] P. G. O. Freund, Phys. Rev. Letters 20, 235 (1968) H. Harari, ibid. 20, 1395 (1968)

[c14] M. Kugler, Phys. Letters 31B, 379 (1970)

[c15] Omitted endnote

[c16] Omitted endnote

[c17] M. Gell-Mann, D. Sharp, and W. Wagner, Phys. Rev. Letters 8, 261 (1962)

[c18] J. Augustin et al., Phys. Letters 28B, 503 (1969)

[c19] Omitted endnote

[c20] Omitted endnote

[c21] Omitted endnote

[c22] [4]

Physical Review D

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Application of a Finite Dispersion Approach to the Calculation of the $ω \to π π γ$ Decay

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Application of a Finite Dispersion Approach to the Calculation of the ω→ππγ Decay

Abstract

References (22)

Application of a Finite Dispersion Approach to the Calculation of the $ω \to π π γ$ Decay