 93122 Ruskai , M.B.
 Improved Estimate on the Number of Bound States of
Negatively Charged Bosonic Atoms
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May 11, 93

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Abstract. It is shown that the number of bound states of an atom whose
``electrons'' satisfy bosonic symmetry conditions is bounded
above by $C_\beta (\log Z)^\kappa$ where,
$\kappa$ and $C_\beta$ are constants, the nuclear charge $Z > Z_\beta$
for some constant $Z_\beta$ and the number of ``electrons'' $N$
satisifies $N > (1+\beta)Z + 1 $ with
$ \beta > 0$. The constant $\kappa$ is universal, but
$Z_\beta$ depends upon $\beta$ and $C_\beta$ is inversely
proportional to a power of $\beta$.
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