Nature of the Breaking of Chiral and Scale Symmetries and the <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mi>η</mi></mrow><mrow><mo>′</mo></mrow></msup></mrow><mo>→</mo><mi>η</mi><mi>π</mi><mi>π</mi></math></span> Decay

S. C. Chhajlany

doi:10.1103/PhysRevD.5.2896

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Nature of the Breaking of Chiral and Scale Symmetries and the $η^{'} \to η π π$ Decay

S. C. Chhajlany

Tata Institute of Fundamental Research, Bombay 5, India

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Phys. Rev. D 5, 2896 – Published 1 June, 1972

DOI: https://doi.org/10.1103/PhysRevD.5.2896

Abstract

We reexamine the $η^{'} \to η π π$ decay under the assumption that the chiral- and scale-invariant limits of the action operator coincide and the dilation exists. We show that an order-of-magnitude improvement over the Riazuddin-Oneda estimate for the decay rate can be obtained. Thus $η^{'} \to η π π$ decay does not seem to pose any serious problems to the pure (3, $3^{*}$ ) ⊕ ( $3^{*}$ , 3) breaking of chiral symmetry provided the effects of the dilation are incorporated.

References (8)

Riazuddin and Oneda, Phys. Rev. Letters 27, 548 (1971)
M. Gell-Mann, R. J. Oakes, and B. Renner (later referred to as GMOR), Phys. Rev. 175, 2195 (1969)
T. P. Cheng and R. F. Dashen, Phys. Rev. Letters 26, 594 (1971)
J. Ellis, Phys. Letters 33B, 591 (1970) J. Ellis, P. H. Weisz, and B. Zumino, ibid. 34B, 91 (1971)
H. Fritzsch and M. Gell-Mann, in 1971 Coral Gables Conference on Fundamental Interaction at High Energy, (Gordon and Breach, New York, to be published) Caltech. Report No. CALT-68-297 (unpublished) V. S. Mathur, Phys. Rev. Letters 27, 452 (1971)
[2]
Omitted endnote
Omitted endnote

[c1] Riazuddin and Oneda, Phys. Rev. Letters 27, 548 (1971)

[c2] M. Gell-Mann, R. J. Oakes, and B. Renner (later referred to as GMOR), Phys. Rev. 175, 2195 (1969)

[c3] T. P. Cheng and R. F. Dashen, Phys. Rev. Letters 26, 594 (1971)

[c4] J. Ellis, Phys. Letters 33B, 591 (1970) J. Ellis, P. H. Weisz, and B. Zumino, ibid. 34B, 91 (1971)

[c5] H. Fritzsch and M. Gell-Mann, in 1971 Coral Gables Conference on Fundamental Interaction at High Energy, (Gordon and Breach, New York, to be published) Caltech. Report No. CALT-68-297 (unpublished) V. S. Mathur, Phys. Rev. Letters 27, 452 (1971)

[c6] [2]

[c7] Omitted endnote

[c8] Omitted endnote

Physical Review D

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Nature of the Breaking of Chiral and Scale Symmetries and the $η^{'} \to η π π$ Decay

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Nature of the Breaking of Chiral and Scale Symmetries and the η′→ηππ Decay

Abstract

References (8)

Nature of the Breaking of Chiral and Scale Symmetries and the $η^{'} \to η π π$ Decay