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Originalpublikation
Hefter, E.F.; Mitropolsky, I.A.: Inverse Methods and Relative Nuclear Radii. In: Zeitschrift für Naturforschung - Section A Journal of Physical Sciences 39 (1984), Nr. 6, S. 603-604. DOI: https://doi.org/10.1515/zna-1984-0616
Inverse methods are applied to the nuclear bound-state problem. Considering only the self-interactions of these states analytical solutions results for potentials and densities. The simplest possible approximation to the full expression yields immediately ⊿R0i2 ≡ 〈r2 (Ai)〉 - 〈r2 (A0)〉 ~ - [B (Ai) - B (A0)] for the differences in the squared nuclear radii as functions of the respective binding energies per nucleon, B (Ai).