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In the Λ00-approximation of the Green's function theory the nuclear matter properties have been calculated for several local potentials. All these potentials contain a hard core repulsion and match the experimentalS-wave phase-shifts. Due to the analytical form of these potentials one can obtain many results analytically. Thus the whole structure of this approximation becomes relatively transparent and can easily be calculated. Therefore this model can be used as an input for more complicated approximations. Furthermore one can also treat the optical potential problem. Te results for nuclear matter are comparable with the results for nonlocal potentials. The momentum distribution deviates more strongly from the independent particle model as in the case of nonlocal potentials.

An elementary derivation of the optical potential for high energies is given. For the determination of the optical potential only the knowledge of the scattering amplitude for free nucleons and of the autocorrelation function for density fluctuations is necessary. The numerical calculation of the real- and imaginary part of the optical potential was performed using the Tabakin potential.

The two-nucleon potential is assumed to be a quadratic function of momentum: ν = ν1(r) + pν2(r)p. The BETHE-GOLDSTONE equation (l = 0) has been solved for two different choices of ν. An analytical, approximate solution is obtained.