光锥求和规则方法研究$\mathbf{\boldsymbol{D \rightarrow a_0 (980) e^+ ν_e}}$衰变
Study of $\mathbf{\boldsymbol{D \rightarrow a_0 (980) e^+ ν_e}}$ decay in the light-cone sum rules approach
摘要：
在QCD光锥求和规则（LCSR）框架下，我们研究了双夸克图中标量介子$a_0(980)$的$D\rightarrow a_0(980)$到扭3光锥分布振幅（LCDAs）的跃迁形状因子.利用这些形状因子，我们计算了$D\rightarrow a_0(980) e^+ ν_e$半轻子衰变的微分衰变宽度和分支比。我们得到了${\mathcal B}(D^0\rightarrow a_0^- (980) e^+ ν_e)=(4.08^{+1.37}_{-1.22})\times 10^{-4}$和${\mathcal B}(D^+\rightarrow a_0^0 (980) e^+ ν_e)=(5.40^{+1.78}_{-1.59})\times 10^{-4}$。结果对$a_0(980)$的内部结构敏感。这些衰变可以在BESIII实验中进行搜索，任何实验观测都将有助于确定$a_0(980)$介子的内部夸克含量，这将有助于理解理论模型。
英文摘要：
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 $D\rightarrow a_0(980) e^+ ν_e$ semileptonic decays. We obtain ${\mathcal B}(D^0\rightarrow a_0^- (980) e^+ ν_e)=(4.08^{+1.37}_{-1.22})\times 10^{-4}$ and ${\mathcal B}(D^+\rightarrow a_0^0 (980) e^+ ν_e)=(5.40^{+1.78}_{-1.59})\times 10^{-4}$. 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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
