Density expansion of the energy of N close-to-boson excitons

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Pauli exclusion between the carriers of N excitons induces novel many-body effects, quite different from the ones generated by Coulomb interaction. Using our commutation technique for interacting close-to-boson particles, we here calculate the hamiltonian expectation value in the N-ground-state-exciton state.Coulomb interaction enters this quantity at first order only by construction; nevertheless, due to Pauli exclusion, subtle many-body effects take place, which give rise to terms in (Naₓ³/V)ⁿ with n≥2 >. An exact procedure to get these density dependent terms is given.