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We perform a study of the $D_s^+ \to a_0(980)(f_0(980)) e^+ \nu_e$ reactionsinvestigating the different sources of isospin violation which make theproduction of the $a_0(980)$ possible. We find that loops involving kaons inthe production mechanism provide a source of isospin violation since they donot cancel due to the different mass of charged and neutral kaons, but we alsofind that the main source comes from the breaking of isospin in the meson-mesontransition $T$ matrices, which contain information on the nature of the lowlying scalar mesons. The reaction is thus very sensitive to the nature of the$a_0(980)$ and $f_0(980)$ resonances. Our results are consistent with thepresent upper bound for $a_0(980)$ production and only a factor three smaller,indicating that future runs with more statistics should find actual numbers forthis reaction from where we can learn more about the origin of the scalarresonances and their nature.

The $D_s^+ \to a_0(980) e^+ \nu_e$ reaction and the $a_0(980)-f_0(980)$ mixing