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Observation of $D\to {a}_{0}\left(980\right)\pi $ in the decays ${D}^{0}\to {\pi }^{+}{\pi }^{-}\eta $ and ${D}^{+}\to {\pi }^{+}{\pi }^{0}\eta $

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{
  "DOI": "10.1103/PhysRevD.110.L111102", 
  "abstract": "<p>We report the first amplitude analyses of the decays ${D}^{0}\\to {\\pi }^{+}{\\pi }^{-}\\eta $ and ${D}^{+}\\to {\\pi }^{+}{\\pi }^{0}\\eta $ using a data sample taken with the BESIII detector at the center-of-mass energy of 3773 MeV, corresponding to an integrated luminosity of $7.9\\text{}\\text{}{\\mathrm{fb}}^{-1}$. The contribution from the process ${D}^{0\\left(+\\right)}\\to {a}_{0}\\left(980{\\right)}^{+}{\\pi }^{-\\left(0\\right)}$ is significantly larger than the ${D}^{0\\left(+\\right)}\\to {a}_{0}\\left(980{\\right)}^{-\\left(0\\right)}{\\pi }^{+}$ contribution. The ratios $B\\left({D}^{0}\\to {a}_{0}\\left(980{\\right)}^{+}{\\pi }^{-}\\right)/B\\left({D}^{0}\\to {a}_{0}\\left(980{\\right)}^{-}{\\pi }^{+}\\right)$ and $B\\left({D}^{+}\\to {a}_{0}\\left(980{\\right)}^{+}{\\pi }^{0}\\right)/B\\left({D}^{+}\\to {a}_{0}\\left(980{\\right)}^{0}{\\pi }^{+}\\right)$ are measured to be ${7.5}_{-0.8\\mathrm{stat}}^{+2.5}\u00b1{1.7}_{\\mathrm{syst}}$ and $2.6\u00b1{0.6}_{\\mathrm{stat}}\u00b1\\phantom{\\rule{0ex}{0ex}}{0.3}_{\\mathrm{syst}}$, respectively. The measured ${D}^{0}$ ratio disagrees with the theoretical predictions by orders of magnitudes, thus implying a substantial contribution from final-state interactions.</p>", 
  "author": [
    {
      "family": "CERN \u0130\u015fbirli\u011fi"
    }
  ], 
  "container_title": "Physical Review D", 
  "id": "274481", 
  "issue": "11", 
  "issued": {
    "date-parts": [
      [
        2024, 
        12, 
        26
      ]
    ]
  }, 
  "title": "Observation of $D\\to {a}_{0}\\left(980\\right)\\pi $ in the decays ${D}^{0}\\to {\\pi }^{+}{\\pi }^{-}\\eta $ and ${D}^{+}\\to {\\pi }^{+}{\\pi }^{0}\\eta $", 
  "type": "article-journal", 
  "volume": "110"
}
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