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

M. R. Anders; S. Shlomo; I. Talmi

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arXiv · 1504.05507

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

M. R. Anders·S. Shlomo·I. Talmi

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Abstract

Charge density difference between 206Pb and 205Tl, measured by elastic electron scattering, is very similar to the charge density due to a proton in a 3s1/2 orbit. We look for a potential well 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 short-range two-body correlations on the 3s1/2 shell model wave function, more accurate measurements are required.

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M. R. Anders, S. Shlomo, I. Talmi. 2015-04-21. Measured difference between 206Pb, 205Tl charge distributions and the proton 3s1/2 wave function. https://arxiv.org/abs/1504.05507

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