Study of D→a0(980)e+νe decay in the light-cone sum rules approach

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Abstract

Within the QCD light-cone sum rule (LCSR) approach, we investigate the transition form factors of $D\ensuremath{\rightarrow}{a}_{0}(980)$ up to the twist-3 light-cone distribution amplitudes (LCDAs) of the scalar meson ${a}_{0}(980)$ in the two-quark picture. Using these form factors, we calculate the differential decay widths and branching ratios of the $D\ensuremath{\rightarrow}{a}_{0}(980){e}^{+}{\ensuremath{\nu}}_{e}$ semileptonic decays. We obtain $\mathcal{B}({D}^{0}\ensuremath{\rightarrow}{a}_{0}^{\ensuremath{-}}(980){e}^{+}{\ensuremath{\nu}}_{e})=(4.0{8}_{\ensuremath{-}1.22}^{+1.37})\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}4}$ and $\mathcal{B}({D}^{+}\ensuremath{\rightarrow}{a}_{0}^{0}(980){e}^{+}{\ensuremath{\nu}}_{e})=(5.4{0}_{\ensuremath{-}1.59}^{+1.78})\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}4}$. The results are sensitive to the ${a}_{0}(980)$ inner structure. These decays can be searched for at the BESIII experiment, and any experimental observations will be useful to identify internal quark contents of the ${a}_{0}(980)$ meson, which will shed light on understanding theoretical models.

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