The influence of the lattice polarization on the biexciton binding energy

The ground state of the biexciton in the lattice polarization field using both Haken and recently derived effective Hamiltonians is studied. The variational wave function possessing the full symmetry of the complex and allowing the analytical evaluation of the energy matrix elements is proposed. The biexciton binding energy is calculated as a function of electron-phonon coupling constant and of phonon energy in the case of equal electron and hole masses.