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Charge density difference between 206Pb and 205Tl, measured by elasticelectron scattering, is very similar to the charge density due to a proton in a3s1/2 orbit. We look for a potential well whose 3s1/2 wave function yields themeasured data. We developed a novel method to obtain the potential directlyfrom the density and its first and second derivatives. Fits to parametrizedpotentials were also carried out. The 3s1/2 wave functions of the potentialsdetermined here, reproduce fairly well the experimental data within the quotederrors. To detect possible effects of short-range two-body correlations on the3s1/2 shell model wave function, more accurate measurements are required.

Measured difference between 206Pb, 205Tl charge distributions and the proton 3s1/2 wave function