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- W1568135353 abstract "We calculate the branching ratios of the yet unmeasured ${ensuremath{eta}}^{ensuremath{'}}$ decays into four pions, based on a combination of chiral perturbation theory and vector-meson dominance. The decays ${ensuremath{eta}}^{ensuremath{'}}ensuremath{rightarrow}2({ensuremath{pi}}^{+}{ensuremath{pi}}^{ensuremath{-}})$ and ${ensuremath{eta}}^{ensuremath{'}}ensuremath{rightarrow}{ensuremath{pi}}^{+}{ensuremath{pi}}^{ensuremath{-}}2{ensuremath{pi}}^{0}$ are P-wave dominated and can largely be thought to proceed via two $ensuremath{rho}$ resonances; we predict branching fractions of $(1.0ifmmodepmelsetextpmfi{}0.3)ifmmodetimeselsetexttimesfi{}{10}^{ensuremath{-}4}$ and $(2.4ifmmodepmelsetextpmfi{}0.7)ifmmodetimeselsetexttimesfi{}{10}^{ensuremath{-}4}$, respectively, not much lower than the current experimental upper limits. The decays ${ensuremath{eta}}^{ensuremath{'}}ensuremath{rightarrow}4{ensuremath{pi}}^{0}$ and $ensuremath{eta}ensuremath{rightarrow}4{ensuremath{pi}}^{0}$, in contrast, are D-wave driven as long as conservation of $CP$ symmetry is assumed, and are significantly further suppressed; any experimental evidence for the decay $ensuremath{eta}ensuremath{rightarrow}4{ensuremath{pi}}^{0}$ could almost certainly be interpreted as a signal of $CP$ violation. We also calculate the $CP$-violating amplitudes for ${ensuremath{eta}}^{ensuremath{'}}ensuremath{rightarrow}4{ensuremath{pi}}^{0}$ and $ensuremath{eta}ensuremath{rightarrow}4{ensuremath{pi}}^{0}$ induced by the QCD $ensuremath{theta}$-term." @default.
- W1568135353 created "2016-06-24" @default.
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- W1568135353 date "2012-01-12" @default.
- W1568135353 modified "2023-10-02" @default.
- W1568135353 title "Anomalous decays of<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:msup><mml:mi>η</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:math>and<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>η</mml:mi></mml:math>into four pions" @default.
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- W1568135353 doi "https://doi.org/10.1103/physrevd.85.014014" @default.
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