Abstract
Based on a systematic investigation on the experimental nuclear charge radii for 834 nuclei with A ≥ 40, an effective five-parameter formula is proposed to describe nuclear charge radii by combining the effects of the Casten factor and the odd-even staggering. The calculated nuclear charge radii are in good agreement with the experimental data available. The corresponding root-mean-square deviation falls to σ = 0.0223 fm, which is reduced by more than 50% compared with the results of the conventional three-parameter formula. The proposed formula can well reproduce the shell effect and the odd-even staggering. The calculated results for some typical isotopic chains are listed to compare with results calculated from the Hartree-Fock method.
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Sheng, Z., Fan, G., Qian, J. et al. An effective formula for nuclear charge radii. Eur. Phys. J. A 51, 40 (2015). https://doi.org/10.1140/epja/i2015-15040-1
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DOI: https://doi.org/10.1140/epja/i2015-15040-1