Effect of short-range correlations on the single proton 3s1/2 wave function in 206Pb

• Published in: Journal of physics. Conference series Vol. 966; no. 1
• Main Authors: Shlomo, S., Talmi, I., Anders, M. R., Bonasera, G.
• Format: Journal Article
• Language: English
• Published: Bristol IOP Publishing 01.02.2018
• Subjects: Charge density; Correlation coefficients; Density distribution; Elastic analysis; Elastic scattering; Lead isotopes; Mathematical analysis; Particle density (concentration); Physics; Proton density (concentration); Wave functions
• ISSN: 1742-6588; 1742-6596
• DOI: 10.1088/1742-6596/966/1/012013

We consider the experimental data for difference, Δρc(r), between the charge density distributions of the isotones 206Pb - 205Tl, deduced by analysis of elastic electron scattering measurements and corresponds to the shell model 3s1/2 proton orbit. We investigate the effects of two-body short-range correlations. This is done by: (a) Determining the corresponding single particle potential (mean-field), employing a novel method, directly from the single particle proton density and its first and second derivatives. We also carried out least-square fits to parametrized single particle potentials; (b) Determining the short-range correlations effect by employing the Jastrow correlated many-body wave function to derive a correlation factor for the single particle density distribution. The 3s1/2 wave functions of the determined potentials reproduce fairly well the experimental data within the quoted errors. The calculated charge density difference, Δρc(r), obtained with the inclusion of the short-range correlation effect does not reproduce the experimental data.