We present a novel method, using the single particle Schrodinger equation, to determine the central potential directly from the single particle matter density and its first and second derivatives. As an example, we consider the experimental data for the charge density difference between the isotones 206Pb – 205Tl that corresponds to the shell model 3s1/2 proton orbit, and determine the corresponding single particle potential (mean-field). We also present results of least-square fits to parameterized single particle potentials.
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Research Article| June 30 2017
A novel method for determining the mean-field directly from the single particle matter density
AIP Conf. Proc. 1852, 020003 (2017)
S. Shlomo, M. R. Anders; A novel method for determining the mean-field directly from the single particle matter density. AIP Conf. Proc. 30 June 2017; 1852 (1): 020003. https://doi.org/10.1063/1.4984849
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