Hard-Meson Current-Algebra Calculation of the <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>γ</mi><mo>−</mo><mn>3</mn><mi>π</mi></math></span> Amplitude

M. G. Miller

doi:10.1103/PhysRevD.4.769

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Hard-Meson Current-Algebra Calculation of the $γ - 3 π$ Amplitude

M. G. Miller

Department of Physics, Northeastern University, Boston, Massachusetts 02115

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Phys. Rev. D 4, 769 – Published 1 August, 1971

DOI: https://doi.org/10.1103/PhysRevD.4.769

Abstract

The $γ + π \to π + π$ interaction is considered within the context of hard-meson current algebra and a model of PCAC (partially conserved axial-vector current) breakdown previously proposed. The form factor for this process is calculated and the $γ - 3 π$ coupling constant evaluated. The results are in agreement with experimental data.

References (16)

A. Chatterjee, Phys. Rev. 170, 1578 (1968)
A. Sundaram, Progr. Theoret. Phys. (Kyoto) 43, 843 (1970)
G. Murtaza and A. M. Harum-Ar-Rashid, Phys. Rev. D 2, 236 (1970)
A. Ali and F. Hussain, Phys. Rev. D 3, 1206 (1971) ibid.3, 1214 (1971)
R. Arnowitt, M. H. Friedman, and P. Nath, Phys. Letters 27B, 657 (1968)
Omitted endnote
M. G. Miller, Phys. Rev. D 4, 757 (1971)
Omitted endnote
M. Gell-Mann, D. Sharp, and W. G. Wagner, Phys. Rev. Letters 8, 261 (1962)
Particle Data Group, Rev. Mod. Phys. 42, 87 (1970)
Omitted endnote
Omitted endnote
J. E. Augustin et al., Phys. Letters 28B, 503 (1969)
[5,7]
R. Arnowitt, M. H. Friedman, and P. Nath, Phys. Rev. 174, 2008 (1968)
Alexander Donnachie and Graham Shaw, Ann. Phys. (N.Y.) 37, 333 (1966)

[c1] A. Chatterjee, Phys. Rev. 170, 1578 (1968)

[c2] A. Sundaram, Progr. Theoret. Phys. (Kyoto) 43, 843 (1970)

[c3] G. Murtaza and A. M. Harum-Ar-Rashid, Phys. Rev. D 2, 236 (1970)

[c4] A. Ali and F. Hussain, Phys. Rev. D 3, 1206 (1971) ibid.3, 1214 (1971)

[c5] R. Arnowitt, M. H. Friedman, and P. Nath, Phys. Letters 27B, 657 (1968)

[c6] Omitted endnote

[c7] M. G. Miller, Phys. Rev. D 4, 757 (1971)

[c8] Omitted endnote

[c9] M. Gell-Mann, D. Sharp, and W. G. Wagner, Phys. Rev. Letters 8, 261 (1962)

[c10] Particle Data Group, Rev. Mod. Phys. 42, 87 (1970)

[c11] Omitted endnote

[c12] Omitted endnote

[c13] J. E. Augustin et al., Phys. Letters 28B, 503 (1969)

[c14] [5,7]

[c15] R. Arnowitt, M. H. Friedman, and P. Nath, Phys. Rev. 174, 2008 (1968)

[c16] Alexander Donnachie and Graham Shaw, Ann. Phys. (N.Y.) 37, 333 (1966)

Physical Review D

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Hard-Meson Current-Algebra Calculation of the $γ - 3 π$ Amplitude

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Hard-Meson Current-Algebra Calculation of the γ−3π Amplitude

Abstract

References (16)

Hard-Meson Current-Algebra Calculation of the $γ - 3 π$ Amplitude