Short-range correlations and the 3s(1/2) wave function in Pb-206
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2015 American Physical Society. 2015 American Physical Society. The charge-density difference between Pb206 and Tl205, measured by elastic electron scattering, offers a unique opportunity to look for effects of short-range correlations on a shell-model wave function of a single proton. The measured difference is very similar to the charge density due to a proton in a 3s1/2 orbit. If there is a potential whose 3s1/2 wave function yields the measured difference between the charge distributions, no effect of short-range correlations is evident. To check this point, we look for a potential whose 3s1/2 wave function yields the measured data. We developed a novel method to obtain the potential directly from the density and its first and second derivatives. Fits to parametrized potentials were also carried out. The 3s1/2 wave functions of the potentials determined here reproduce fairly well the experimental data within the quoted errors. To detect possible effects of two-body correlations on the 3s1/2 shell-model wave function, more accurate measurements are required.