Neutron transmission cross sections of lead and bismuth were measured for 143 keV and with high precision for 1970 eV neutrons which were selected from the reactor neutron spectrum by means of a novel dual combination of resonance scatterers. These data and highly accurate values of the coherent scattering lengths at zero energy and of transmission cross sections at 1.26, 5.19, 18.8 and 132 eV were the basis to determine the potential scattering radii, the neutron electron and the electric polarization scattering lengths as well as to test the used resonance corrections by which the influence of nuclear reactions on the results is eliminated. We obtained for the electric polarizability of the neutron: ~,=(0.8+1.0) 10-3fm 3 and for the neutron electron scattering length:b,e =(-1.32+ 0.04)i0-3 fm. In conclusion we have shown that these results favour the cloudy bag model for the description of the neutron's charge structure.