Eigenstates ofNexcitons and one hole

We solve for the eigenstates and energy eigenvalues of $N$ immobile Frenkel excitons (a relatively trivial proposition) and of $N$ such excitons plus one hole (which for large $N$ can only be done in one dimension). We also guess that a charged globule, consisting of $N$ excitons and $O\left(N\right)\mathrm{}$ holes, can be stable if, in any number of dimensions, $m_h^{*}$ for holes is much larger than $m_e^{*}$ for electrons.