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Isotopic Symmetry Breaking in the η(1405) → f0(980)π0 → π+π–π0. Decay through a \(K\bar K\) Loop Diagram and the Role of Anomalous Landau Thresholds

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Abstract

Anomalous isotopic symmetry breaking in the η(1405) → f0(980)π0 → π+π–π0 decay through a mechanism featuring anomalous Landau thresholds in the form of logarithmic triangle singularities, i.e., through the \(\eta (1405) \to (K*\bar K + \bar K*K) \to ({K^ + }{K^ - } + {K^0}{\bar K^0}){\pi ^0} \to {f_0}(980){\pi ^0} \to {\pi ^ + }{\pi ^ - }{\pi ^0}\) transition, has been analyzed. It has been shown that this effect can be correctly quantified only by taking into account the nonzero K* width. Different scales of isotopic symmetry breaking associated with the K+K0 mass difference are compared.

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Correspondence to N. N. Achasov.

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Original Russian Text © N.N. Achasov, G.N. Shestakov, 2018, published in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2018, Vol. 107, No. 5, pp. 292–297.

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Achasov, N.N., Shestakov, G.N. Isotopic Symmetry Breaking in the η(1405) → f0(980)π0 → π+π–π0. Decay through a \(K\bar K\) Loop Diagram and the Role of Anomalous Landau Thresholds. Jetp Lett. 107, 276–281 (2018). https://doi.org/10.1134/S0021364018050053

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  • DOI: https://doi.org/10.1134/S0021364018050053

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