Semileptonic D⁰ and D⁺ decays as a probe of the a₀(980) nature

¹ Sobolev Institute for Mathematics, Novosibirsk, 630090
² Novosibirsk State University, Novosibirsk, 630090

^* e-mail: achasov@math.nsc.ru
^** e-mail: kiselev@math.nsc.ru

Published online: 17 June 2019

Abstract

The $D^{+}\to d\overline{d}{e}^{+}v\to a_0^0\left(980\right)e^{+}\nu \to {\pi }^0\eta e^{+}\nu$ and $D^0\to d\overline{u}{e}^{+}\nu \to a_0^{-}\left(980\right)e^{+}\nu \to {\pi }^{-}\eta e^{+}\nu$ decays (with the charge conjugated ones) are the direct probe of the constituent 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 suggest adequate formulas for the data analysis and present a variant of ηπ invariant mass distribution when a₀(980) has no constituent two-quark component at all.