Starting from the two-electron and two-hole representation of the biexciton Hamiltonian in the degenerate-band case, we formulate the secular equation of the interacting biexciton ground state by an invariant expansion. We include various biexciton exchange interactions and the symmetry-breaking effect due to the finite biexciton wave vector. Solving the resulting Schr\"odinger equation numerically, we then compare it to experimental results for the biexciton dispersion and give an estimate of the biexciton energy for vanishing exchange interactions.
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Hönerlage et al. (1981) studied this question.
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