$B(E2)$’s of the first two $2^+$ states in $^{10}\mbox{Be}$ because with the interactions used here -especially $Q \cdot Q$- these states are nearly degenerate. (However, experimentally the states are well separated $E_{2_1^+}= 3.368$ $MeV$ and $E_{2_2^+}= 5.958$ $MeV$). When this is done we find that the $B(E2)$ values in the two nuclei are comparable.

For the ($x,y$) interaction, the calculated (large space) value of $B(E2)$ to the lowest two $2^+$ states in $^{10}\mbox{Be}$ is $22.90$ $e^2fm^4$, whereas it is $25.97$ $e^2fm^4$ to the lowest $2^+$ state in $^8\mbox{Be}$. With the $Q \cdot Q$ interaction the two values are respectively $46.40$ and $49.16$ $e^2fm^4$. One big difference between the two interactions is the ratio of large to small space values for corresponding $B(E2)$ values. In $^8\mbox{Be}$ the ratio of the large sum to the small sum is $1.98$ for the ($x,y$) interaction whereas it is much larger $3.28$ for the $Q \cdot Q$ interaction. There is much more core polarization with the $Q \cdot Q$ interaction than with the ($x,y$) interaction.

There have been many discussions concerning the correlation of summed orbital $M1$ strength and the $B(E2)$ from the $J=0^+$ ground state to the first $2^+$ state. The latter is an 