$d(1^+)$+$d(1^+)$                                 $^1S_0$   $^5D_1$   $^5S_2$   $^3P_0$   $^3P_1$   $^3P_2$
                                                                                  $^5D_0$             $^1D_2$                      
                                                                                                      $^5D_2$                      
   $t(\frac{1}{2}^+)$+$p(\frac{1}{2}^+), \;h(\frac{1}{2}^+)$+$n(\frac{1}{2}^+)$   $^1S_0$   $^3S_1$   $^1D_2$   $^3P_0$   $^1P_1$   $^3P_2$
                                                                                            $^3D_1$   $^3D_2$             $^3P_1$  

  : Channel spins ($^{2I+1}\ell_J$) of physical $d$+$d$, $t$+$p$, and $h$+$n$ channels for $J \le 2$ and $\ell \le 2$.

\[chan0\]

Because one of our purposes in this investigation is to understand the role of the tensor force played in the four-nucleon dynamics, we want to compare the phase shifts obtained with two Hamiltonians that differ in the type of $NN$ interactions. One is a realistic interaction called the AV8$^{\prime}$ potential [@av8p] that includes central, tensor and spin-orbit components. We also add an effective three-nucleon force (TNF) in order to reproduce reasonably the binding energies of $t$, $h$ and $^4$He [@hiyama04], which makes reasonable thresholds. In the present calculation, the TNF is included in all calculations for AV8$^{\prime}$. Another is an effective central interaction called the Minnesota (MN) potential [@thompson77], which reproduce reasonably the binding energies of $t$, $h$ and $^4$He, though it has central terms alone (with an exchange parameter $u=1$). The Coulomb potential is included for both potentials.

The intrinsic wave function $\Phi^{k}_{I_k}$ of cluster $k$ $(k=a,\ b)$ is described with a combination of $N_k$ basis functions with 