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- W811036429 abstract "Using extended Khuri-Treiman equations, we evaluate the final state interactions due to two-pion rescatterings to the decays $etato pi^0 pi^+ pi^-$ and $etato pi^0 pi^0 pi^0$. As subtraction to the dispersion relation we take the one-loop chiral perturbation theory result of Gasser and Leutwyler. The calculated corrections are moderate and amount to about $14%$ in the amplitude at the center of the decay region. A careful analysis of the errors inherent to our approach is given. As a consequence, the experimental rate of the decay can only be reproduced if the double quark mass ratio $Q^{-2}equivfrac{m_{d}-m_{u}} {m_{s}-{hat m}} cdotfrac{m_{d}+m_{u}}{m_{s}+{hat m}}$ is increased from the usual value of $1/(24.1)^2$ to $1/(22.4 pm 0.9)^2$. We have also calculated the ratio of the rates of the two decays and various Dalitz Plot parameters. In particular, the linear slope $a$ in the charged decay is different from the one-loop value and agrees better with experiment." @default.
- W811036429 created "2016-06-24" @default.
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- W811036429 date "1996-04-01" @default.
- W811036429 modified "2023-09-25" @default.
- W811036429 title "Final state interactions and Khuri-Treiman equations in,ν → 3π decays" @default.
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- W811036429 doi "https://doi.org/10.1016/0550-3213(95)00676-1" @default.
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