ACCURACY OF THE LOCAL APPROXIMATION IN THE MICROSCOPIC THEORY OF FERMI SYSTEMS

Accuracy of the local approximation in the functional approach to the microscopic theory of Fermi systems is analyzed. Sensitivity of result s to the choice of parameters of the numerical scheme that are used to calculate the correlation energy for neutron matter with the Bethe an d Reid soft core potentials in the density interval from rho = 0.17 to rho = 4 fm-3 in the framework of the local approximation is studied. The range of the parameters, in which the results do not depend on die choice of their values, is found. The numerical scheme is modified to increase this range. Comparison of the results with the Monte Carlo c alculations enabled us to obtain intrinsic accuracy of the local appro ximation.