at $17.64$ $MeV$ and the $J=1_1^+$ $T=0$ state is at $18.15$ $MeV$.

The $B(M1)$ from the $17.64$ $MeV$ state to the ground state has a strength of $0.15$ $W.u.$ or $B(M1)$$\put(2,8.){\vector(0,-9){9}}$ $=$ $0.27{\mu_N}^2$. The $B(M1)$ of this state to the $2_1^+$ state is $0.12$ $W.u.$ or $B(M1)$$\put(2,8.){\vector(0,-9){9}}$ $=$ $0.21{\mu_N}^2$ [@ajz]. Of course $B(M1)\uparrow$=$3B(M1)\downarrow$

[**[(b) $^{10}\mbox{Be}$]{}**]{}

The $J=2_1^+$ state is at $3.368$ $MeV$ and the $J=2_2^+$ state at $5.960$ $MeV$. We recall that with a spin independent interaction the $2_1^+$ and $2_2^+$ would be degenerate. The experimental spectrum looks more vibrational. However, the values of $B(E2)$$\put(2,0.){\vector(0,9){9}}$ from the $J=0^+$ ground state to the $2_1^+$ state is very strong: $B(E2)$$\put(2,0.){\vector(0,9){9}}$ $=$ $52$ $e^2fm^4$. Raman et. al. deduce from this a deformation parameter $\beta$ $=$ $1.13$ [@ram]. As mentioned above, there are no $J=1^+$ states mentioned in the compilation of Ajzenberg-Selove [@ajz]. Also the $J=4^+$ state has not been found.

The Interactions
================

We have chosen two types of interactions to do the calculations. First we use a short range ‘simplified realistic’ ($x,y$) interaction previously used by Zheng and Zamick [@ann], and then we use a long-range quadrupole-quadrupole interaction. By choosing these two extremes, we make sure that the results we obtain are 