Prediction of possible $$DK_1$$ bound states

Stimulated by recent experimental observation of $X_1(2900)$ just below the $\bar D_1K$ threshold, we extend our previous study D_1D$ S-wave bound state vector meson exchange to system as well similar DK_1$, $D_1K$ and $DK_1$ systems look for possible states. We find that potential $D K_1$ is attractive strong enough form states with mass around 3110 MeV $DK_1(1270)$ 3240 $DK_1(1400)$. $D_1 K$ also but weaker, hardly While DK_1$ becomes further less attractive, between D_1 weakest, definitely too weak any state, which excludes recently observed be a state. give decay properties predicted