Isospin Dependence of Nuclear Charge Radii and Its Microscopic Demonstration

  • The analysis of experimental nuclear charge radii Rc indicates that Rc deviates systematically from the A1/3 law, i.e., Rc/A1/3 gradually decreases with increasing A, whereas Rc/Z1/3 remains almost a constant. This statement is also supported by the analysis of a large amount of experimental nulcear giant monopole resonance energy data Ex∝ R-1. The deviation of nuclear charge radii from the A1/3 law is basically caused by the isospin independence of A1/3 law, and the isospin dependence has been partly included in Z1/3 law. In the frame of nuclear shell model, a microscopic demonstration of the Z1/3 law is given. The difference in the harmonic oscillator potential strength between proton and neutron (ωp and ωn) can be accounted for by the Z1/3 law. Similar to Wigner's nuclear isobaric multiplet mass equation (IMME), a modified Z1/3 law for nuclear charge radii is proposed.
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LEI Yi-An and ZENG Jin-Yan. Isospin Dependence of Nuclear Charge Radii and Its Microscopic Demonstration[J]. Chinese Physics C, 2007, 31(8): 731-735.
LEI Yi-An and ZENG Jin-Yan. Isospin Dependence of Nuclear Charge Radii and Its Microscopic Demonstration[J]. Chinese Physics C, 2007, 31(8): 731-735. shu
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Received: 2006-11-28
Revised: 1900-01-01
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Isospin Dependence of Nuclear Charge Radii and Its Microscopic Demonstration

    Corresponding author: ZENG Jin-Yan,
  • School of Physics, Peking University, Beijing 100871, China

Abstract: The analysis of experimental nuclear charge radii Rc indicates that Rc deviates systematically from the A1/3 law, i.e., Rc/A1/3 gradually decreases with increasing A, whereas Rc/Z1/3 remains almost a constant. This statement is also supported by the analysis of a large amount of experimental nulcear giant monopole resonance energy data Ex∝ R-1. The deviation of nuclear charge radii from the A1/3 law is basically caused by the isospin independence of A1/3 law, and the isospin dependence has been partly included in Z1/3 law. In the frame of nuclear shell model, a microscopic demonstration of the Z1/3 law is given. The difference in the harmonic oscillator potential strength between proton and neutron (ωp and ωn) can be accounted for by the Z1/3 law. Similar to Wigner's nuclear isobaric multiplet mass equation (IMME), a modified Z1/3 law for nuclear charge radii is proposed.

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