different $L_k$ and $S_k$ values $$\begin{aligned}
\Phi_{I_{k}M_{I_k}}^k=\sum^{N_k} {\cal A} \left[
\psi_{L_k}^{(\rm{space})}\psi_{S_k}^{(\rm{spin})} 
\right]_{I_k M_{I_k}}
\psi^{(\rm{isospin})}_{T_k M_{T_k}},
\label{wf.cluster}\end{aligned}$$ where $\psi_{L_k}^{(\rm{space})}$, $\psi_{S_k}^{(\rm{spin})}$ and $\psi_{T_k M_{T_k} }^{(\rm{isospin})}$ denote the space, spin and isospin parts of the cluster wave function. In the case of the AV8$^{\prime}$ potential, the $t$ (or $h$) wave function is approximated with thirty Gaussian basis functions that include $L_k \leq 2$, and $S_k=\frac{1}{2}$ and $\frac{3}{2}$. The deuteron wave function is also approximated with Gaussian basis functions, four terms both in the $S$- and $D$-waves, respectively. The falloff parameters of the Gaussian functions are selected using the SVM [@book] and the expansion coefficients are determined by diagonalizing the intrinsic cluster Hamiltonian. A similar procedure is applied to the case of the MN potential.

The calculated energies $E$, root-mean-square (rms) radii $R^{\rm rms}$ and $D$ state probabilities $P_D$ are given in the fourth to sixth columns in Table \[sub1\]. We use the truncated basis in order to obtain the phase shifts in reasonable computer times, they slightly deviate from more elaborate calculations, which are given in the last three columns. Fortunately, except for the small shift of the threshold energy, the phase shifts are not very sensitive to the details of the cluster 