contribute to the scatterings of our interests, where $a=D\; {\rm or}\;
  T\, ;\,  i,j=1{\rm -}4\; {\rm and}\; s=9 \;{\rm for}\; a=D\;, {\rm or} \;
  i,j=1{\rm -}9\; {\rm and} \; s=44\;{\rm
  for}\; a=T$, and $N_D^{}=4$ and $N_T^{}=9$. For the $\Psi_D \Psi_T$ states which should be of the $\underline{4} \otimes \underline{9}$ representation, there is no singlet representation so that $O(4)$ cannot help for the classification. Furthermore, several additional discrete transformations can be used to further classify the states, which will be defined below.\
\
We outline further classification of the decomposed irreducible states for the case of the neutral 25 two-body channels (4 for $\Psi_D\Psi_D$, 11 for $\Psi_T\Psi_T$ and 10 for $\Psi_D\Psi_T$). For $\Psi_D\Psi_D$ states, we have the singlet state $(1)_D^{}$ and the three neutral elements of $(9)^{ij}$ ($(9)^{33}$, $(9)^{44}$ and $(9)^{34}$), in which the $C$ parity separates $(9)^{34}$ from the other states. After taking appropriate linear combination, we obtain two separate states under the transformation of $\phi_r \to \phi_i$ and $\phi_i \to
-\phi_r$ as $((9)^{33}\pm (9)^{44})/\sqrt{2}$. Thus four eigenstates of the transition matrix for the neutral $\Psi_D\Psi_D \to \Psi_D\Psi_D$ channels are obtained [@Lee:1977yc].

Next, we consider $\Psi_T\Psi_T\to\Psi_T\Psi_T$ scatterings in which both the initial and final states are electrically neutral. In addition 