Amplitude analysis of $D_s^{+}\to {\pi }^{+}{\pi }^0\eta$ and first observation of the pure $W$-annihilation decays $D_s^{+}\to a_0(980{)}^{+}{\pi }^0$ and $D_s^{+}\to a_0(980{)}^0{\pi }^{+}$

Abstract

We present the first amplitude analysis of the decay $D_s^{+}\to {\pi }^{+}{\pi }^0\eta$. We use an $e^{+}{e}^{-}$ collision data sample corresponding to an integrated luminosity of 3.19~${\mbox{\,fb}^{-1}}$ collected with the BESIII detector at a center-of-mass energy of $4.178$ GeV. We observe for the first time the pure $W$-annihilation decays $D_s^{+}\to a_0(980{)}^{+}{\pi }^0$ and $D_s^{+}\to a_0(980{)}^0{\pi }^{+}$. We measure the absolute branching fractions $\mathcal{B}(D_s^{+}\to a_0(980{)}^{+(0)}{\pi }^{0^{(}+)},a_0(980{)}^{+(0)}\to {\pi }^{+(0)}\eta )=(1.46\pm 0.15_{stat.}\pm 0.23_{sys.})$\%, which is larger than the branching fractions of other measured pure $W$-annihilation decays by at least one order of magnitude. In addition, we measure the branching fraction of $D_s^{+}\to {\pi }^{+}{\pi }^0\eta$ with significantly improved precision.

7 pages, 3 figures

References in corpus (6)

• Branching ratios and direct CP asymmetries in $D\to PP$ decays
• Dalitz plot analysis of Ds+ --> K+ K- pi+
• Amplitude analysis of the ${\chi }_{c1}\to \eta {\pi }^{+}{\pi }^{-}$ decays
• Observation of $a_0^0(980)$-$f_0(980)$ Mixing
• Amplitude analysis of $D^0\to K^{-}{\pi }^{+}{\pi }^{+}{\pi }^{-}$
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