Skyrme-Hartree-Fock Description of the Nuclear Structure in Ca Isotopes (Ⅰ)Binding Energy and Shell Effects,Radii and Density Distributions

  • The ground state properties of Ca isotopes far from stability line were systematically studied using the Skyrme Hartree Fock model.The shell effects on the binding energy and two neutron separation energy are discussed.The isospin dependency of the unclear radii and nucleon density distributions and the shell effects on these properties are also studied.It is shown that the neutron magic number affests the width of nuclear surface and the nucleon density distributions beyond the nuclear surface.The change of proton rms radii Rrms with neutron number excess I=(N-Z)/A follows Rrms=3/5(1+αI+βI2)rpZ1/3.The effect of the centrifugal potential on the nuclear density in the outer trach of nuclear surface is clearly shown.
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  • [1] YANG Si-Chun, MENG Jie. Nuclear Physics Review, 1999, 16(3):187(in Chinese)(杨泗春, 孟杰. 原子核物理评论, 1999, 16(3):187)2 Meng J, Ring P. Phys. Rev. Lett., 1996, 77:3963; 1998,80:4603 Meng J. Nucl. Phys.. 1998, A635:34 Fukunishi N, Otsuka T. Tanihata I. Phys. Rev. 1993.C48:16485 meng J . Tanihata I, Yarnaji S. Phys. Lett., 1998, B419:16 Habs D et al. Nucl. Phys., 1997, A616:29c7 Motobayashi T et al. Phys. Lett., 1995, B346:98 Hofmann S et al. Nucl. Phys. , 1997, A616:370c9 Skyrme T H R. Phil. Mag., 1956, 1:1043; Nucl. Phys., 1959,9:61510 Gogny D. Nucl. Phys. 1975, A237:39911 Vautherin D. Brink D M. Phys. Rev., 1972, C5:62612 Relnhard P G. Computational Nuclear Physics I:Nuclear Structure, Edited by Langanke K, Maruhn J A, Koonin S E. Springer-Verlag, Berlin. Heidelberg, 1991. 2813 Beiner M, Flocard H, Giai N V et al. Nucl. Phys., 1975, A238:29I4 Friedrich J et al. Phys. Rev., 1986, C33:33515 Bartel J el al. Nucl. Phys., 1982, 4386:7916 Brown H A. Phys. Rev. , 1998, C58:22017 Aboussir Y et al. Nucl. Phys., 1992, A549:15518 Audi G, Wapstra A H. Nucl. Phys., 1995. A595:40919 Friedrich J, Voegler N. Nucl. Phys., 1982, A373:19220 ZENG Jin-Yang. High Energy Phys. and Nucl. Phys., 1983, 7(1):101(in Chinese)(曾谨言. 高能物理与核物理, 1983,7(1):101)21 Warda M, Nerlo-Panorska B, Pmrski K. Nucl. Phys., 1998, A635:484
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Soojae Im, MENG Jie, ZHOU Shan-Gui, YANG Si-Chun and LONG Wen-Hui. Skyrme-Hartree-Fock Description of the Nuclear Structure in Ca Isotopes (Ⅰ)Binding Energy and Shell Effects,Radii and Density Distributions[J]. Chinese Physics C, 2001, 25(4): 322-328.
Soojae Im, MENG Jie, ZHOU Shan-Gui, YANG Si-Chun and LONG Wen-Hui. Skyrme-Hartree-Fock Description of the Nuclear Structure in Ca Isotopes (Ⅰ)Binding Energy and Shell Effects,Radii and Density Distributions[J]. Chinese Physics C, 2001, 25(4): 322-328. shu
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Received: 2000-03-15
Revised: 1900-01-01
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Skyrme-Hartree-Fock Description of the Nuclear Structure in Ca Isotopes (Ⅰ)Binding Energy and Shell Effects,Radii and Density Distributions

    Corresponding author: MENG Jie,
  • Deartment of Technical Physice and Intsitute of Heavy Ion Physics,Peking Universiyt,Beijing 100871,ChinaCenter of Theoretical Nuclear Physics,National Laboratory of Heavy Ion Accelerator,Lanzhou 730000,ChinaInstitute for Theoretical Physics,Chinese Academy of Science,Beijing 100080,China

Abstract: The ground state properties of Ca isotopes far from stability line were systematically studied using the Skyrme Hartree Fock model.The shell effects on the binding energy and two neutron separation energy are discussed.The isospin dependency of the unclear radii and nucleon density distributions and the shell effects on these properties are also studied.It is shown that the neutron magic number affests the width of nuclear surface and the nucleon density distributions beyond the nuclear surface.The change of proton rms radii Rrms with neutron number excess I=(N-Z)/A follows Rrms=3/5(1+αI+βI2)rpZ1/3.The effect of the centrifugal potential on the nuclear density in the outer trach of nuclear surface is clearly shown.

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