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

2015/04/21 by M. Anders, M. R. Anders, Anders, M. R. +5
Physics and Astronomy · #Astronomical and nuclear sciences #Atomic and Molecular Physics #FOS: Physical sciences #Nuclear Theory (nucl-th) #Nuclear physics research studies #nucl-th

paper · pdf · doi:10.48550/arxiv.1504.05507

16 pages (double spaced), 4 figures

arxiv created 2015/04/21 · openalex publication_date 2015/04/21 · arxiv updated 2015/04/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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