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

Abstract
HTML
Reference
Related

PDF

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.

References

[1]

. Bohr A, Mottelson B R. Nuclear Structure (Vol. I). Ben-jamin, New York, 19692. Ring P, Schuck P. The Nuclear Many-Body Problem.Springer-Verlag, New York, 19803. Fricke G et al. At. Data Nucl. Data Tables, 1995, 60: 1774. Angeli I. At. Data Nucl. Data Tables, 2004, 87: 1855. ZENG J Y. Acta Phys. Sin., 1957, 13: 357; 1975, 24: 151(in Chinese)(曾谨言.物理学报，1957, 13: 357; 1975, 24: 151)6. Tseng C Y (Zeng J Y), Cheng T S, Yang F C. Nucl. Phys.,1980, A334: 4707. ZENG J Y. Chinese Phys., 1983, 3: 6528. Nerlo-Pomorska B, Pomorski K. Zeit. Phys., 1993, 344:359; 1994, 348: 1699. Warda M, Nerlo-Pomorska, Pomorski K. Nucl. Phys., 1998,A635: 48410. Raman S, Nester C W, Jr, Tikkanen P. At. Data Nucl.Data Tables, 2001, 78: 111. Shlomo S, Youngblood D H. Phys. Rev., 1993, C47: 52912. Youngblood D H, Clark H C, LIU Y W. Phys. Rev. Lett.,1999, 82: 69113. Nilsson S G et al. Nucl. Phys., 1969, A131: 1; Nilsson SG. Mat. Fys. Medd. Dan. Vid. Selsk., 1955, 29: No.1614. ZHANG S Q, MENG J, ZHOU S G et al. Eur. Phys. J,2002, A13: 285; ZHANG S Q, MENG J, ZHOU S G et al.HEP NP, 2002, 26: 252 (in Chinese)(张双全，孟杰，周善贵等.高能物理与核物理，2002, 26: 252)15. Wigner E P. Proc. of the Robert A.Welch Foundation Con-ference on Chemical Research, (Houston, Texas, 1957, ed.W. D. Milikan), 1: 6716. Benenson W, Kashy E. Atomic Masses and FundamentalConstants, 1976, 5: 15417. Benenson W, Kashy E. Rev. Mod. Phys., 1979, 51: 52718. Britz J, Pepe A, Antony M S. At. Data Nucl. Data Table,1998, 69: 125

[1]	HAO Huan-Feng , XING Yong-Zhong , LIU Jian-Ye . Influence of Isospin\, Dependence\, of\, Nucleon-Nucleon\, Cross\, Section\, and\, Momentum\, DependentInteraction on the Isoscaling in Intermediate Energy Collisions. Chinese Physics C, 2007, 31(7): 651-654.
[2]	XU Jun , CHEN Lie-Wen , LI Bao-An , MA Hong-Ru . Temperature Dependence of the Nuclear Symmetry Energy and Symmetry Free Energy. Chinese Physics C, 2006, 30(S2): 265-267.
[3]	MA Zhong-Yu , RONG Jian . Isospin-Dependence of Nucleon Potential and Effective Mass in Relativistic Approach. Chinese Physics C, 2006, 30(12): 1230-1233.
[4]	LI Xiao-Lin , YUE Wei-Sheng , LIU Jiang-Feng , WAN Tian-Min , LI Yan , ZHANG Gui-Lin , YAN Cong-Huai , ZHANG Zhong-De , HUANG Yu-Ying , HE Wei . Study of Distribution and Correlation of Elements in Bone of the Rat Exposed to Lead by Synchrotron. Chinese Physics C, 2005, 29(S1): 65-67.
[5]	CHEN Chuan-Ren , HUANG Yu-Ying , LI Jing-Gong , HE Wei , WEI Ai-Hong , WU Qun-Hui , WU Chun-Xue , LI Kui-Fa . Study of the Relationship between the Trace Element of Oil-Gas Inclusion and Oil-Gas Movement. Chinese Physics C, 2005, 29(S1): 51-55.
[6]	MO Xiao-Hu . Correlation in Estimation of the Q Value. Chinese Physics C, 2005, 29(9): 831-837.
[7]	RONG Jian , MA Zhong-Yu . The Isospin-dependent Term in the Relativistic Microscopic Optical Potential. Chinese Physics C, 2005, 29(10): 970-973.
[8]	LIU Jian-Feng , LI Chun-Juan , ZHANG Guo-Hui . Study on the Mass Energy Relativities of the Reaction Mechanisms in the Neutron Radiative Capture. Chinese Physics C, 2004, 28(8): 832-837.
[9]	ZHOU Xiao-Hong , XU Fu-Rong , ZHANG Yu-Hu , ZHENG Yong . Configuration-Dependent Bands in ¹⁶⁹Re. Chinese Physics C, 2003, 27(11): 984-989.
[10]	YANG Yan-Fang , LIU Jian-Ye , GUO Wen-Jun , ZUO Wei , ZHAO Qiang . Importance of Momentum Dependence Interaction on the Isospin Effects of Two-Body Dissipation. Chinese Physics C, 2002, 26(4): 377-382.
[11]	GUO Wen-Jun , LIU Jian-Ye , YANG Yan-Fang , ZUO Wei , ZHAO Qiang . Importance of Momentum Dependence Interactionon the Isospin Dependence of the Mean Field. Chinese Physics C, 2002, 26(7): 690-695.
[12]	ZHANG Shuang-Quan , MENG Jie , ZHOU Shan-Gui , ZENG Jin-Yan . A New Formula of Nuclear Charge Radii. Chinese Physics C, 2002, 26(3): 252-258.
[13]	FENG CunFeng , ZHANG XueYao , KONG FanMin , HE Mao , FU Yu , DAI ZhiQiang , ZHANG NaiJian . Relation between Interactive Models and Identification of Primary Cosmic Ray Components at the “Knee”. Chinese Physics C, 2000, 24(6): 467-472.
[14]	Xu Hushan , Zhu Yongtai , Chen Liewen , Gou Quanbu , Liu Hang , Wei Zhiyong , Zhang Yuhu , Wang Qi , Li Songlin , Lu Jun , Wu Zhongli , Xie Yuanxiang , Zhang Fengshou , Jin Genming . Target-Dependence of Neutron-Proton Ratio of the PLF Produced in Heavy Ion Collisions at Intermediate Energies. Chinese Physics C, 1998, 22(12): 1061-1067.
[15]	Lu Jun , Wang Qi , Xu Hushan , Li Songlin , Zhu Yongtai , Yin Xu , Fan Enjie , Zhang Yuhu , Li Zhichang , Zhao Kui , Lu Xiuqin , Hu Xiaoqing . The Angular Dependence of the Coherence Energy in Dissipative Reaction of ¹⁹F+⁵¹V. Chinese Physics C, 1997, 21(1): 15-20.
[16]	Luo Chuanwang , Huang Tao , Guo Xinheng , Li Jinping , Lu Gongru . Model Dependence of the BSW Approach. Chinese Physics C, 1994, 18(7): 601-615.
[17]	YANG Fu-Zhong , LIU Jian-Ye . Impact Parameter and Bombarding Energy Dependence of Collective Flow in the Dynamics Process of Intermediate High Energy Heavy Ion Collision. Chinese Physics C, 1992, 16(8): 749-753.
[18]	LI Ming , SONG Hong-Qiu . The Temperature Dependence of Giant Resonances in High-Excited Nucleus. Chinese Physics C, 1991, 15(2): 140-149.
[19]	CHEN Ying-Xuan , HE Chang-Xiao , XIAO Qian-Yi , WANG Li-Xiang . THE TIME DISTRIBUTION OF EAS WITH E>10¹⁴eV. Chinese Physics C, 1985, 9(4): 391-396.
[20]	ZENG Jin-Yan (C. Y. Tseng) . SHELL (DEFORMATION) EFFECT IN NUCLEAR CHARGE RADIUS. Chinese Physics C, 1983, 7(1): 101-108.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2006-11-28
Revised: 1900-01-01

Article Metric

Article Views(3539)
PDF Downloads(716)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
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.

HTML

Reference (1)

Isospin Dependence of Nuclear Charge Radii and Its Microscopic Demonstration

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article