makes these terms to contribute to $J=1/2$ and $J=3/2$ with degeneracy. The terms connecting $P$ and $V$ like $\Xi^*_c \bar{K} \to \Xi D^*$ require exchange of pseudoscalars, which go with the momentum and are small compared to the exchange of vectors [@xiaojuan]. In the $\Xi^*_c \bar{K} \to \Xi D^*$ one would have to exchange a $D_s$ and it would be doubly suppressed. In the $\Xi^*_c \bar{K} \to \Xi K^*$ one would exchange a pion, but the $K$ and $K^*$ states are quite separated in energy and the transition is also not important. In the $D \Xi \to D^* \Xi$ transitions one has the $\pi \Xi \Xi$ Yukawa vertex that goes like $D-F$ compared to $D+F$ for $\pi PP$, with $F=0.51$, $D=0.75$ [@Borasoy], which is highly suppressed. Therefore, we neglect all terms which involve transition of a pseudoscalar to a vector and then the matrix elements are again given by Eq.  with the $D_{ij}$ coefficients given in Table \[tabDij2\].

In order to see the relevance of the $\pi$ exchange discussed above, we take the $D \, \Xi \to D^* \, \Xi$ transition and we evaluate the effect in the $D \, \Xi \to D \, \Xi$ interaction going through the intermediate 