The $a_0(980)$ physics in semileptonic $D^0$ and $D^{+}$ decays

Abstract

The decays $D^0\to d\bar{u}{e}^{+}\nu \to a_0^{-}(980)e^{+}\nu \to {\pi }^{-}\eta e^{+}\nu$ and $D^{+}\to d\bar{d}{e}^{+}\nu \to a_0^0(980)e^{+}\nu \to {\pi }^0\eta e^{+}\nu$ (and the charge conjugated ones) is the direct probe of the two-quark components in the $a_0^{\pm }(980)$ and $a_0^0(980)$ wave functions. Recent BESIII experiment is the first step in experimental study of these decays. We present a possible variant of $\eta \pi$ invariant mass distribution when $a_0(980)$ has no $q\bar{q}$ component at all.

16 pages, 9 figures. Updated version corresponding to PRD article. An essential upgrade, including taking into account the KLOE-2009 data on the phi-> eta pi0 gamma decay. arXiv admin note: text overlap with arXiv:1711.08777

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Cited by in corpus (8)

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• Semileptonic decays $D\to {\pi }^{+}{\pi }^{-}{e}^{+}{\nu }_e$ and $D_s\to {\pi }^{+}{\pi }^{-}{e}^{+}{\nu }_e$ as the probe of constituent quark-antiquark pairs in the light scalar mesons
• Scalar resonances in the $D^{+}\to K^{-}{K}^{+}{K}^{+}$ decay
• Semileptonic decays $D\to \eta \pi e^{+}{\nu }_e$ in the $a_0(980)$ region
• Study of the isospin breaking decay $\mathbf{Y}(2175)\to \mathbf{\varphi }{\mathbf{f}}_0(980)\to \mathbf{\varphi \eta }{\mathbf{\pi }}^0$ at BESIII
• Study of $a_0^0(980)$-$f_0(980)$ mixing from $a_0(1450)\to a_0^0(980)f_0(500)\to {\pi }^{+}{\pi }^{-}{f}_0(500)$
• Fate of Light Scalar Mesons
• Study of the light scalar $a_0(980)$ through the decay $D^0\to a_0(980{)}^{-}{e}^{+}{\nu }_e$ with $a_0(980{)}^{-}\to \eta {\pi }^{-}$