Isospin Dependence of Nuclear Charge Radii and Its Microscopic Demonstration
- Received Date: 2006-11-28
- Accepted Date: 1900-01-01
- Available Online: 2007-08-05
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.