A new prediction for the binding energy of \textbf{$_\Lambda ^7$}He hypernucleus

P-shell A=7 hypernuclei are considered in the cluster$_\Lambda ^7 $He+N+N model. The folding procedure using the OBE simulating (NSC97f) model for $\Lambda $N potential and various $\alpha \Lambda $ potentials are applied to construct the $_\Lambda ^7 $He-N interaction. Configuration space Faddeev calculations are performed for hyperon binding energy of the $_\Lambda ^7 $He ($\frac{1}{2}^+)$ and $_\Lambda ^7 $Li ($\frac{1}{2}^+$and $\frac{3}{2}^+$, T=0) hypernuclei. A new predicted value for $B_\Lambda (_\Lambda ^7 $He) is 5.35 MeV. This value was obtained for the $_\Lambda ^6 $He(2$^-)$ excitation energy equal to 0.26 MeV. Since the 2$^-$ state of $_\Lambda ^6 $He has not yet been observed, the $_\Lambda ^6 $He(2$^-)$ excitation energy was chosen to reproduce the experimental value of the $_\Lambda ^7 $Li($\frac{3}{2}^+)$ excitation energy by the adjustment of the $_\Lambda ^6 $He-N effective potential. Our results are compared with those from [1]. 1. E. Hiyama et al. Phys. Rev. C53, 2075 (1996), Phys. Rev. C59, 2351 (1999).