Journal
PHYSICAL REVIEW D
Volume 92, Issue 3, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.92.036003
Keywords
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Funding
- Russian Foundation for Basic Research Grant [13-02-00039]
- Siberian Branch of Russian Academy of Sciences [102]
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There are attempts in the literature to theoretically explain the large breaking of isotopic invariance in the decay eta(1405) -> f(0)(980)pi(0) -> 3 pi by the mechanism containing the logarithmic ( triangle) singularity, i. e., as being due to the transition eta(1405) -> (K*(K) over bar + (K) over bar *K) -> (K+ K- + K-0 (K) over bar (0))pi(0) -> f(0)(980)pi(0) -> 3 pi. The corresponding calculations were fulfilled for a hypothetic case of the stable K* meson. Here, we show that the account of the finite width of the K* (Gamma(K* -> K pi) approximate to 50 MeV) smoothes the logarithmic singularities in the amplitude and results in the suppression of the calculated decay width eta(1405) -> f(0)(980)pi(0) -> 3 pi by the factor of 6- 8 as compared with the case of Gamma(K* -> K pi) = 0. We also analyze the difficulties related with the assumption of the dominance of the eta(1405) -> (K*(K) over bar + (K) over bar *K) -> (K (K) over bar pi decay mechanism and discuss the possible dynamics of the decay eta(1405) -> eta pi pi. The decisive improvement of the experimental data on the K (K) over bar, K pi, eta pi, and pi pi mass spectra in the decay of the resonance structure eta(1405/1475) to K (K) over bar pi and eta pi pi, and on the shape of the resonance peaks themselves in the K (K) over bar pi and eta pi pi decay channels is necessary for further establishing the eta(1405) -> 3 pi decay mechanism.
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