the $x$-cluster wave function. The $k_{\rm F}$ depends on the mass number of the cluster $x$. Because of the operator $P_r$ in Eq.(3.3), the resultant $\Lambda x$ potential becomes nonlocal, the explicit form of which is given in Appendix of Ref.[@Hiyama97]. We summarize the functional form of the local and nonlocal parts of the $\Lambda \,x$ potentials as $$\begin{aligned}
      & V&_{\!\!\!\!\!\Lambda x}({\bf r},{\bf r'}) = 
            \sum_{i=1}^{3}
(V_i + V_i^{\rm s}  \mbox{\boldmath $s$}_{\Lambda}\cdot
              \mbox{\boldmath $s$}_x)             
 \: e^{-\beta_i r^2}
         \delta( {\bf r}-{\bf r'}) 
                 \nonumber \\
      &+& \sum_{i=1}^{3}
(U_i + U_i^{\rm s} \mbox{\boldmath $s$}_{\Lambda}\cdot
               \mbox{\boldmath $s$}_x )             
        \: e^{-\gamma_i({\bf r}+{\bf r'})^2
        -\delta_i({\bf r}-{\bf r'})^2}  \; ,
%(3.4)\end{aligned}$$ where $_{\Lambda}=$ $_{\Lambda}/2$. Table II lists the parameters in Eq.(3.4) for (a) $\Lambda \,\alpha$ interaction, (b) $\Lambda \, t \:(\Lambda ^3$He) interaction and (c) $\Lambda \,d$ interaction. They were determined in the following manner:

i\) [*$\Lambda \alpha$ interaction*]{}: The $\Lambda N$ spin-spin part vanishes by the folding into the $\alpha$ particle. The odd-force contribution is negligible to the $\Lambda$-binding energy of $^5_\Lambda$He. We determined the $k_{\rm F}$ parameter as $k_{\rm F}=0.925\: {\rm fm}^{-1}$ in order to reproduce this binding energy (3.12 MeV) within the $\alpha+\Lambda$ two-body model. The $\Lambda N$ odd-force having the same $k_{\rm F}$ 