A New Formula of Nuclear Charge Radii

ZHANG Shuang-Quan; MENG Jie; ZHOU Shan-Gui; ZENG Jin-Yan

Chinese Physics C> 2002, Vol. 26> Issue(3) : 252-258

A New Formula of Nuclear Charge Radii

Department of Technical Physics, Peking University, Beijing 100871, China2 Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000, China3 Institute of Theoretical Physics, The Chinese Academy of Sciences, Beijing 100080,China4 Key Laboratory of Heavy Ion Physics, Ministry of Education, Beijing 100871, China5 Department of Physics, Peking University, Beijing 100871, China

Abstract
HTML
Reference
Related

PDF

Abstract：
Based on the systematic investigation of the data available, a Z 1/3 law for nuclear charge radii is shown to be superior than the generally accepted A^1/3 law. The Z^1/3 law describes data very well for the nuclei close to the β-stability line, while an approximate linear dependence of isospin must be added when it is applied to the nuclei far from the β-stability line. A new isospin dependence Z^1/3 formula thus obtained is proved to be more effective to describe the charge radii data. The collective behavior of the light and heavy nuclei has been discussed.

References

[1]

. Fricke G et al. At. Data Nucl. Data Tables, 1995, 60: 1772 Aufmuth P, Heilig K, Steudel A. At. Data Nucl. Data Tables, 1987, 37: 4553 Otten E W. Treatise. Heauy-Ion Science vol.8.ed D. A. Bromley (New York: Pleum)5154 Billowes J, Campbell P. J. Phys. 1995, G21: 7075 Schuessler H A, Alousi A, Evans R M et al. Phys. Rev. Lett., 1990, 65: 13326 Levins J M G, Benton D M, BiBowes J et al. Phys. Rev. Lett, 1999, 82: 24767 Vries H De, Jager C W De. Vries C De. At. Data Nucl. Data Tables. 1987, 36: 4958 Tanihata I. Prog. Part. and Nucl. Phys，1995, 35: 5059 Bohr A, Mottelson B R. Nuclear Structure, Benjamn W A Inc., New York, Amesterdam: l96910 Nerlo-Pomunska B, Pomorski K. Z. Phys.，1993, A344: 35911 Warda M, Nerlo-Pomorska B, Pomnrski K. Nucl. Phys, 1998. A635: 48412 ZENG Jin-Yan. Acta Phys. Sin., 1957, 13: 357(in Chinese)(曾谨言. 物理学报, 1957, 13: 357)13 ZENG Jin-Yan. Acta Phys. Sin., 1975, 24: 151(in Chinese)(曾谨言. 物理学报, 1975, 24: 151)14 ZHANG Shuang-Quan et al. Isospin and ZSUP1/3/SUP Dependence of the Nuclear Charge Radii. accepted by Euro. J. Phys. A(in press)15. MENG J, Ring P. Phys. Rev. Lett., 1996, 77: 3963; 1998, 80: 46016. MENG J. Nucl. Phys., 1998, A635: 3; 1999, A654: 702c17. Mueller P, Nix J R, Myers W D et al. At. Data Nucl. Data Tables, 1995, 59: 185

[1]	WANG Zai-Jun , REN Zhong-Zhou . Study on Charge Form Factors of the Exotic Nuclei ^6,8He. Chinese Physics C, 2007, 31(11): 1032-1039.
[2]	LEI Yi-An , ZENG Jin-Yan . Isospin Dependence of Nuclear Charge Radii and Its Microscopic Demonstration. Chinese Physics C, 2007, 31(8): 731-735.
[3]	LIU Shu-Xin , LEI Yi-An , ZENG Jin-Yan . Review and Comparison of Some Common Used Rotational Spectrum Formulas. Chinese Physics C, 2006, 30(S2): 45-47.
[4]	XU Chang , REN Zhong-Zhou , WANG Zai-Jun . New Formula for Spontaneous Fission Half-lives of Heavy Nuclei. Chinese Physics C, 2005, 29(7): 673-676.
[5]	XU Fu-Rong . High-Spin Excitations of Atomic Nuclei. Chinese Physics C, 2004, 28(S1): 11-15.
[6]	MENG Jie , BAN Shu-Fang , LI Jun , LONG Wen-Hui , LU Hong-Feng , SHEN Gang , ZHANG Shuang-Quan , ZHANG Shi-Sheng , ZHANG Wei , ZHOU Shan-Gui , . New Effective Interactions,New Symmetry and New States in Atomic Nuclei. Chinese Physics C, 2004, 28(12): 1291-1296.
[7]	GAO Yong-Hua , DUAN Chun-Gui , HOU Zhao-Yu , HE Zhen-Min . Nuclear Density Empicical Formula of the Nucleus and the Nuclear Effect of the Nucleon Structure Function. Chinese Physics C, 2004, 28(3): 290-293.
[8]	LI Ming-Liang , XU Fu-Xin . A New Relation of Parameters of Bohr-Mottelson Rotational Spectra Formula. Chinese Physics C, 2003, 27(6): 511-514.
[9]	Wu Lianao , Lou Jizhong . A New Formula for the γ-Soft Collective Excitation in Even-Even Nuclei. Chinese Physics C, 1995, 19(10): 941-944.
[10]	SHEN Xiao-Yan , HU Ji-Min . The Semiclassical Study of Nuclear High Spin States. Chinese Physics C, 1991, 15(8): 720-729.
[11]	JIANG Huan-Qing . μ^－ CAPTURE IN NUCLEI. Chinese Physics C, 1990, 14(6): 532-536.
[12]	ZHU Chao-Yuan , QIU Xi-Jun . DERIVING A FORMULA FOR NUCLEAR RADII IN THE RELATIVISTIC THOMAS-FERMI APPROXIMATION. Chinese Physics C, 1990, 14(12): 1126-1129.
[13]	LI Guo-Qiang , XU Gong-Ou . SELFCONSISTENT SEMICLASSICAL CALCULATION WITH EXTENDED SKYRME FORCES AND THE PROPERTIES OF ISOVECTOR GIANT RESONANCES. Chinese Physics C, 1989, 13(6): 544-552.
[14]	WU Chong-Shi , ZENG Jin-Yan . NUCLEAR PAIRING PHASE TRANSITION. Chinese Physics C, 1988, 12(1): 95-101.
[15]	GU Jin-Nan . THE R(π/2) INVARIANCE OF NUCLEI. Chinese Physics C, 1986, 10(2): 223-230.
[16]	LIAO Ji-Zhi , PU Xian-An . A NEW EXPRESSION FOR THE ROTATIONAL BANDS OF AN EVEN-EVEN NUCLEUS. Chinese Physics C, 1984, 8(4): 486-490.
[17]	WANG Ru-Lin . THE OSCILLATION IN NUCLEI. Chinese Physics C, 1983, 7(2): 262-264.
[18]	ZENG Jin-Yan (C. Y. Tseng) . SHELL (DEFORMATION) EFFECT IN NUCLEAR CHARGE RADIUS. Chinese Physics C, 1983, 7(1): 101-108.
[19]	ZENG JIN-YAN , LIN CHUN-ZHENG , YANG FU-JIA . A CHECK ON INDIVIDUAL TERMS OF THE NUCLEAR MASS FORMULA. Chinese Physics C, 1981, 5(2): 232-243.
[20]	Zheng Jin-yan , Cheng Tan-sheng , Yang Fu-jia . FURTHER STUDY ON NUCLEAR MASS FORMULA. Chinese Physics C, 1980, 4(5): 632-639.

Access

Get Citation

ZHANG Shuang-Quan, MENG Jie, ZHOU Shan-Gui and ZENG Jin-Yan. A New Formula of Nuclear Charge Radii[J]. Chinese Physics C, 2002, 26(3): 252-258.

ZHANG Shuang-Quan, MENG Jie, ZHOU Shan-Gui and ZENG Jin-Yan. A New Formula of Nuclear Charge Radii[J]. Chinese Physics C, 2002, 26(3): 252-258. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2001-04-19
Revised: 1900-01-01

Article Metric

Article Views(3626)
PDF Downloads(686)
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

A New Formula of Nuclear Charge Radii

Corresponding author: ZHANG Shuang-Quan,

Department of Technical Physics, Peking University, Beijing 100871, China2 Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000, China3 Institute of Theoretical Physics, The Chinese Academy of Sciences, Beijing 100080,China4 Key Laboratory of Heavy Ion Physics, Ministry of Education, Beijing 100871, China5 Department of Physics, Peking University, Beijing 100871, China

Received Date: 2001-04-19
Accepted Date: 1900-01-01
Available Online: 2002-03-05

Abstract: Based on the systematic investigation of the data available, a Z 1/3 law for nuclear charge radii is shown to be superior than the generally accepted A^1/3 law. The Z^1/3 law describes data very well for the nuclei close to the β-stability line, while an approximate linear dependence of isospin must be added when it is applied to the nuclei far from the β-stability line. A new isospin dependence Z^1/3 formula thus obtained is proved to be more effective to describe the charge radii data. The collective behavior of the light and heavy nuclei has been discussed.