On the possibility of observation of $a_0$-$f_0$ mixing in the $pn \to da_0$ reaction

Abstract

It is shown that, if isospin is not conserved in $a^0_0$- and $f_0$-meson mixing, forward-backward asymmetry arises in the reaction $pn\to da^0_0$. This effect increases near the reaction threshold. The asymmetry is estimated within the framework of a model in which the $a^0_0$-$f_0$ mixing is due to the virtual $\pi^0\leftrightarrow\eta$ transition and the difference in masses of the charged and neutral kaons in decay channels. The angular asymmetry near the threshold of the $pn\to da^0_0$ reaction was found to be large, of the order of $8\div 15$ %.