$^{10}\mbox{Be}$. The Wigner supermultiplet scheme is a useful guide in analyzing shell model results. In $^{10}Be$ and with a $Q \cdot Q$ interaction the $T=1$ and $T=2$ scissors modes are degenerate, with the latter carrying $\frac{5}{3}$ of the $T=1$ strength.'
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M. S. Fayache, S. Shelly Sharma\* and L. Zamick

[*Department of Physics and Astronomy, Rutgers University, Piscataway, NJ 08855*]{}

[\**Departamento de Física, Universidade Estadual de Londrina, Londrina, Parana, 86051-970, Brazil*]{}

The Experimental Situation
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From our perspective, much experimental information is lacking in the nuclei $^8\mbox{Be}$ and $^{10}\mbox{Be}$. For example, no $J=1^+$ states have been identified in $^{10}\mbox{Be}$. The $B(E2)$ from the $2_1^+$ state of $^8\mbox{Be}$ to the $J=0^+$ ground state is not known -this is understandable because of the large decay width to two alpha particles.

The following states and their properties are of interest to us:

[**[(a) $^8\mbox{Be}$]{}**]{}

The $J=2_1^+$ state has an excitation energy of $3.04$ $MeV$. The $J=4_1^+$ state is at $11.4$ $MeV$. This is consistent with an $J(J+1)$ spectrum of a rotational band, but it should be recalled that any spin-independent interaction gives an $J(J+1)$ spectrum in the $p$ shell. The $J=1_1^+$ $T=1$ state, which we discussed extensively in a previous publication [@fay] is 