Qualitative explanation of the data on the decays $D^0\to a_0(980)^\pm\pi^\mp$ and $D^+\to a_0(980)^{+(0)}\pi^{0(+)}$ in the four-quark model of the $a_0(980)$ resonance

Abstract

It is shown that the values of the ratios $\mathcal{B}(D^0\to a_0(980)^+\pi^-)/\mathcal{B} (D^0\to a_0(980)^-\pi^+ )$ and $\mathcal{B}(D^+\to a_0(980)^+\pi^0)/\mathcal{B} (D^+\to a_0(980)^0 \pi^+)$, recently measured by the BESIII Collaboration, are naturally explained in the four-quark model of the $a_0(980) $ resonance.