\begin{document}$\bar B_s^0 \to J/\psi f_0(980)$\end{document} and \begin{document}$\bar B_s^0 \to J/\psi a_0(980)$\end{document} reactions, and pay attention to the different sources of isospin violation and mixing of \begin{document}$f_0(980)$\end{document} and \begin{document}$a_0(980)$\end{document} resonances where these resonances are dynamically generated from meson–meson interactions. We find that the main cause of isospin violation is isospin breaking in the meson–meson transition T matrices, and the other source is that the loops involving kaons in the production mechanism do not cancel due to the different masses of charged and neutral kaons. We obtain a branching ratio for \begin{document}$a_0(980)$\end{document} production of the order of \begin{document}$5 \times 10^{-6}$\end{document}. Future experiments can address this problem, and the production rate and shape of the \begin{document}$\pi^0 \eta$\end{document} mass distribution will definitely help to better understand the nature of scalar resonances."> The <inline-formula><tex-math id="M1">\begin{document}${\bar{\boldsymbol B}_{\boldsymbol s}^{\bf 0} \to {\boldsymbol J}/\boldsymbol\psi \boldsymbol\pi^{\bf 0}\boldsymbol \eta}$\end{document}</tex-math><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/367e01ca-3caa-40d7-bea3-733cc703f99a/CPC-2022-0177_M1.jpg"/><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/367e01ca-3caa-40d7-bea3-733cc703f99a/CPC-2022-0177_M1.png"/></alternatives></inline-formula> decay and the <inline-formula><tex-math id="M2">\begin{document}$ {{\boldsymbol a}_{\bf 0}{\bf (980)}-{\boldsymbol f}_{\bf 0}{\bf (980)}} $\end{document}</tex-math><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/367e01ca-3caa-40d7-bea3-733cc703f99a/CPC-2022-0177_M2.jpg"/><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/367e01ca-3caa-40d7-bea3-733cc703f99a/CPC-2022-0177_M2.png"/></alternatives></inline-formula> mixing -
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