The new simple theoretical model of Cooper(1) for the interface excito
n with an itinerant photo-excited hole is studied. The main parameter
of the model is the separation d between electron and hole, which are
assumed to be confined in the two planes. By variational numerical cal
culation, we obtain the values of main parameters of the exciton: bind
ing energies, effective Bohr radius, and oscillator strengths versus p
arameter d. Checking the applicable of the model, we find good agreeme
nt with the previous obtained results. We find also a strong dependenc
e on the separation d and an existence of the ''death region'' of the
exciton coursed by the hole band gap potential.