Chinese Physics C > 2007, Vol. 31 > Issue(8): 731-735

Isospin Dependence of Nuclear Charge Radii and Its Microscopic Demonstration

LEI Yi-An,
ZENG Jin-Yan^,

School of Physics, Peking University, Beijing 100871, China

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

References

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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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沈阳化工大学材料科学与工程学院沈阳 110142

Isospin Dependence of Nuclear Charge Radii and Its Microscopic Demonstration

LEI Yi-An
ZENG Jin-Yan^,

Corresponding author:ZENG Jin-Yan,

School of Physics, Peking University, Beijing 100871, China

Received Date:2006-11-28
Accepted Date:1900-01-01
Available Online:2007-08-05

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