Isospin Dependence of Nuclear Charge Radii and Its Microscopic Demonstration

LEI Yi-An; ZENG Jin-Yan

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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The analysis of experimental nuclear charge radii R_c indicates that R_c deviates systematically from the A^1/3 law, i.e., R_c/A^1/3 gradually decreases with increasing A, whereas R_c/Z^1/3 remains almost a constant. This statement is also supported by the analysis of a large amount of experimental nulcear giant monopole resonance energy data E_x∝ R^－1. The deviation of nuclear charge radii from the A^1/3 law is basically caused by the isospin independence of A^1/3 law, and the isospin dependence has been partly included in Z^1/3 law. In the frame of nuclear shell model, a microscopic demonstration of the Z^1/3 law is given. The difference in the harmonic oscillator potential strength between proton and neutron (ω_p and ω_n) can be accounted for by the Z^1/3 law. Similar to Wigner's nuclear isobaric multiplet mass equation (IMME), a modified Z^1/3 law 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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通讯作者: 陈斌, bchen63@163.com

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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

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

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