# Study of $\mathbf{\boldsymbol{D \rightarrow a_0 (980) e^+ \nu_e}}$ decay in the light-cone sum rules approach

## TL;DR

This paper uses the light-cone sum rule approach to calculate the form factors and branching ratios of the semileptonic decay D→a₀(980)e⁺νₑ, providing predictions that can help determine the internal structure of the a₀(980) meson.

## Contribution

It presents a detailed calculation of transition form factors and decay rates for D→a₀(980) e⁺νₑ decays within the light-cone sum rule framework, considering the scalar meson’s quark content.

## Key findings

- Predicted branching ratios for D→a₀(980) e⁺νₑ decays.
- Results are sensitive to the internal quark structure of a₀(980).
- Provides theoretical guidance for experimental searches at BESIII.

## Abstract

Within the QCD light-cone sum rule (LCSR) approach, we investigate the transition form factors of $D\rightarrow a_0(980)$ 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 $D\rightarrow a_0(980) e^+ \nu_e$ semileptonic decays. We obtain ${\mathcal B}(D^0\rightarrow a_0^- (980) e^+ \nu_e)=(4.08^{+1.37}_{-1.22})\times 10^{-4}$ and ${\mathcal B}(D^+\rightarrow a_0^0 (980) e^+ \nu_e)=(5.40^{+1.78}_{-1.59})\times 10^{-4}$. The results are sensitive to the $a_0(980)$ inner structure. These decays can be searched for at 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.