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2024年10月30日

A New Formula of Nuclear Charge Radii

  • 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 A1/3 law. The Z1/3 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 Z1/3 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.
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  • [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
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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
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Received: 2001-04-19
Revised: 1900-01-01
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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

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 A1/3 law. The Z1/3 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 Z1/3 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.

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