all the $\Psi_D\Psi_D$ and $\Psi_T\Psi_T$ states are completely separated, and the eigenvalues of the transition matrix for these channels are obtained.

Finally, classifying the ten $\Psi_D\Psi_T$ states by using the $C$ transformation as well as some discrete transformations in a similar way to above, we completely diagonalized $25 \times 25$ scattering matrix for the electrically neutral two-body states.

The neutral states, $|A^0_i\rangle (i=1\sim 25)$, which give (at most $2\times 2$) block-diagonal transition matrices are found as below: |A\^0\_[1]{}&=&(2\^+\^-+\_i\^0\_i\^0+\_r\^0\_r\^0) /2 ,\
|A\^0\_2&=&(2\^[++]{}\^[–]{}+2\^[+]{}\^[-]{}+2\^[+]{}\^[-]{}+\_i\^0\_i\^0+\_r\^0\_r\^0+\_r\^0\_r\^0)/3 ,\
|A\^0\_3&=&(2\^+\^–\_i\^0\_i\^0-\_r\^0\_r\^0) /2 ,\
|A\^0\_4&=&(- 2\^[++]{}\^[–]{}+\_i\^0\_i\^0+ \_r\^0\_r\^0)/2 ,\
|A\^0\_5&=&(\_i\^0\_i\^0-\_r\^0\_r\^0)/2 ,\
|A\^0\_6&=&(\^+\^-+ \^-\^++\_r\^0\_r\^0)/2 ,\
|A\^0\_7&=&\_r\^0\_i\^0 ,\
|A\^0\_8&=&(\^+\^– \^-\^+-i\_r\^0\_i\^0)/(2i) ,\
|A\^0\_[9]{}&=&(\_i\^0\_i\^0- \_r\^0\_r\^0)/2 ,\
|A\^0\_[10]{}&=&(2\^[++]{}\^[–]{}-\^+\^–\^+\^-+\_i\^0\_i\^0+ \_r\^0\_r\^0-2\_r\^[0]{}\_r\^[0]{})/3 ,\
|A\^0\_[11]{}&=&(2\^[++]{}\^[–]{} -4\^[+]{}\^[-]{}-4\^[+]{}\^[-]{}+\_r\^0\_r\^0+\_i\^0\_i\^0+4\_r\^0\_r\^0)/6  ,\
|A\^0\_[12]{}&=&(\_r\^0\_r\^0-\_r\^0\_i\^0)/ ,\
|A\^0\_[13]{}&=&(\^+\^-+ \^-\^+-\_r\^0\_r\^0)/2  ,\
|A\^0\_[14]{}&=&(\^+\^– \^-\^++ i\_r\^0\_i\^0)/(2i) ,\
|A\^0\_[15]{}&=& \_r\^0\_i\^0 ,\
|A\^0\_[16]{}&=&{ 2(\^+\^- +\^-\^++ \^+\^-+\^-\^+)-(\_r\^0\_r\^0+\_i\^0\_i\^0) -2 \_r\^0\_r\^0}/3 ,\
|A\^0\_[17]{}&=&( \_r\^0\_r\^0-\_i\^0\_i\^0)/ ,\
|A\^0\_[18]{}&=&( \_i\^0\_r\^0+\_r\^0\_i\^0)/ ,\
|A\^0\_[19]{}&=&{2(\^+\^- - \^-\^+- \^+\^-+\^-\^+) +i(\_i\^0\_r\^0-\_r\^0\_i\^0)-4i\_i\^0\_r\^0}/(6i) ,\
|A\^0\_[20]{}&=&{ \^+\^- + \^-\^++\^+\^-+\^-\^++(\_r\^0\_r\^0+\_i\^0\_i\^0)+\_r\^0\^0}/3 ,\
|A\^0\_[21]{}&=&{\^+\^- - \^-\^+- \^+\^-+\^-\^++i(\_r\^0\_i\^0-\_i\^0\_r\^0)+i\_i\^0\_r\^0}/(3i) ,\
|A\^0\_[22]{}&=&{\^+\^- - \^-\^+-\^+\^-+\^-\^++2i( \_i\^0\_r\^0-\_r\^0\_i\^0)+4i\_i\^0\_r\^0}/(6i) ,\
|A\^0\_[23]{}&=&{\^+\^- + \^-\^++\^+\^-+\^-\^+-2( \_r\^0\_r\^0+\_i\^0\_i\^0)+4 \_r\^0\_r\^0)}/6 ,\
|A\^0\_[24]{}&=&(\^+\^- + \^-\^+- \^+\^–\^-\^+)/2 ,\
|A\^0\_[25]{}&=&(\^+\^- - \^-\^++\^+\^–\^-\^+)/(2i) . The state $(1)_D$ and the three neutral linear-combined states from $(9)^{ij}$ respectively correspond to $|A^0_{1}\rangle$ and {$|A^0_{3}\rangle$, $|A^0_{5}\rangle$ and $|A^0_{7}\rangle$}. The state $(1)_T$ and the linear combined states from $(44)^{ij}$ correspond 