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《中国物理C》(英文)编辑部
2024年10月30日

DIFFUSENESS AND DEFORMATION EFFECT IN NUCLEAR CHARGE RADIUS

  • On the basis of Yukawa folded density distribution, a new formula of nuclear charge radius is proposed to include the effect of both spheroidal and tetroidal deformation. With the values of only two constants, the resulting root-mean-square error in calculated nuclear radii of 148 nuclides is 0.034 fm, which is near to that of Droplet model. It can be used to explain the nuclear radii of some isotopic sequences where the Z1/3 law has difficulties. Taking the fluctuation of diffuseness width into account, the peculiar behaviors of some isotopic sequences can be well explained. The dependence of all the fluctuation on the neutron shell structure is also discussed.
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  • [1] W. D. Myers, Nucl. Phys., A204(1973), 465.[2] W. D. Mvers, et al., Ann. Phys., 84(1974), 186.[3] 曾谨言, 物理学报, 24(1975), 151.[4] 曾谨言, 高能物理与核物理, 7(1983), 101.[5] 潘正瑛, 王炎森, 陈建新, 杨福家, 《散修正的核半径规律及其在巨共振中的应用》, 原子核物理.(待发表).[6] W. D. Myers, et al., LBL15446 (1983).[7] P. MolIer and J. R. Nix, Nucl. Phys., A361 ( 1981), 117. [8] I. Angeli and M. Csatlos, Nucl. Phys., A288 (1977), 480.[9] K. T. R. Davies and J. R. Nix, Phys. Rev., C14(1976), 1977.[10] J. R. Nix, Ann. Rev. Nucl. Sci, 22(1972), 65.[11] W. Ogle, et al., Rev. Mod. Phys., 43(1971), 424.[12] A. A. Bethe, et al., Rev. Mod. Phys., 7(1936), 165.[13] P. Mller and J. R. Nix, At. Data and Nucl. Data Tables, 26(1981), 165.[14] P. Mller and J. R. Nix,私人通讯(1982).[15] R. C. Banett and D. F. Jackson, "Nuclear size and structure", Oxford University Press (1977).[16] C. W. de Jager, et al., At. Data and Nucl. Data Tables, 14(1974), 479. [17] R. Engfer, et al., At. Data and Nucl. Data Tables, 14(1974), 509.[18] V. M. Khvastunov, et al., Phys. Lett., 28B(1968), 119.[19] F. G. Perey, et al., Phys. Rev .Lett, 17(1966), 324.[20] J. A. Molen, et al., Phys. Lett., 29B(1969), 396.[21] J V. M. Khvastunov, et al., Phys. Lett., 28B( 1968), 119.[22] H. Gerhardt, et al., Z. Physik, A292(1979), 7.[23] S. A. de Wit, et al., Nucl. Plzys., 87(1967), 657.[24] R. A, Carrigan, et al., Phys. Rev. Lett., 2071968), 874.[25] D. Hitlin, et al., Phys. Rev., C1(1970), 1184.[26] J. R. Moreira, et al., Can. J. Phys., 49(1971), 1434.[27] G. Siissmann, Z. Physik, A274(1975), 145.[28] R. Frosch, et al., Phys. Rev., 174(1968), 1380.
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Get Citation
LU Shu-Cheng, PAN Zheng-Ying and WANG Yan-Seng. DIFFUSENESS AND DEFORMATION EFFECT IN NUCLEAR CHARGE RADIUS[J]. Chinese Physics C, 1985, 9(5): 594-602.
LU Shu-Cheng, PAN Zheng-Ying and WANG Yan-Seng. DIFFUSENESS AND DEFORMATION EFFECT IN NUCLEAR CHARGE RADIUS[J]. Chinese Physics C, 1985, 9(5): 594-602. shu
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Received: 1900-01-01
Revised: 1900-01-01
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DIFFUSENESS AND DEFORMATION EFFECT IN NUCLEAR CHARGE RADIUS

    Corresponding author: LU Shu-Cheng,

Abstract: On the basis of Yukawa folded density distribution, a new formula of nuclear charge radius is proposed to include the effect of both spheroidal and tetroidal deformation. With the values of only two constants, the resulting root-mean-square error in calculated nuclear radii of 148 nuclides is 0.034 fm, which is near to that of Droplet model. It can be used to explain the nuclear radii of some isotopic sequences where the Z1/3 law has difficulties. Taking the fluctuation of diffuseness width into account, the peculiar behaviors of some isotopic sequences can be well explained. The dependence of all the fluctuation on the neutron shell structure is also discussed.

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