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Measurement of the matrix elements for the decays $\eta^{\prime}\rightarrow\eta\pi^+\pi^-$ and $\eta^{\prime}\rightarrow\eta\pi^0\pi^0$
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arxiv 1709.04627 v2 pith:DG5HVIAK submitted 2017-09-14 hep-ex
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abstract
Based on a sample of $1.31\times10^9$ $J/\psi$ events collected with the BESIII detector, the matrix elements for the decays $\eta^{\prime}\to\eta\pi^{+}\pi^{-}$ and $\eta^{\prime}\to\eta \pi^{0}\pi^{0}$ are determined using 351,016 $\eta^{\prime}\to(\eta\to\gamma\gamma)\pi^+\pi^-$ and 56,249 $\eta^{\prime}\to(\eta\to\gamma\gamma)\pi^0\pi^0$ events with background levels less than 1\%. Two commonly used representations are used to describe the Dalitz plot density. We find that an assumption of a linear amplitude does not describe the data well. A small deviation of the obtained matrix elements between $\eta^{\prime}\to\eta\pi^{+}\pi^{-}$ and $\eta^{\prime}\to\eta \pi^{0}\pi^{0}$ is probably caused by the mass difference between charged and neutral pions or radiative corrections. No cusp structure in $\eta^{\prime}\to\eta \pi^{0}\pi^{0}$ is observed.
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Novel method for determining the light quark mass ratio using $\eta'\to\eta \pi\pi$ decays
hep-ph 2025-02 conditional novelty 7.0 of 10
A novel unit-disk mapping of Dalitz plots is used to extract the light quark mass ratio Q = 22.3 ± 0.7 from BESIII data on η′ → ηππ decays.
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