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Chinese Physics C> 2000, Vol. 24> Issue(8) : 748-754 

Ground-State Properties of Z=59 Isotopic Chain in the Relativistic Mean-Field Theory

  •  Research Center of Nuclear Theory of National Laboratory of Heavy Ion Accelerator of Lanzhou, Lanzhou 730000, China2 Institute of Modern Physics, CAS, Lanzhou 730000, China3 China Institute of Atomic Energy, Beijing 102413, China4 Institute of Theoretical Physics, CAS, Beijing 100080, China

  • The ground-state properties of Pr isotopic chain have been studied in the framework of the relativistic mean field(RMF) theory. The pairing correlation is treated by BCS method and the isospin dependent pairing forces have been used. The ‘blocking’ method is used to deal with the unpaired nucleon and the axially symmetric deformation is assumed. The theoretical results show that the RMF theory with non-linear meson self interactions provides a good description of the binding energy, the deformation of nuclei, the density distributions of neutrons and protons, the isotope shifts and so on over a large isospin range of Pr isotopes. The theoretical results are in good agreement with those obtained from the Finite Range Droplet Model. The domain of the validity of the BCS approximation is checked, and the extent and the origin of the BCS failure are studied.
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    [1] . Dobaczewski J ,Nazarewicz W ,Werner T R et al.Phys.Rev .,1996,C53 :2 80 92. Ring P .Prog .Part .Nucl.Phys.,1996,37:193 3. CHEN BaoQiu,MA ZhongYu,Gruemmer F et al.Phys.Lett.,1999,B4 55:13 4. Moeller P ,Nix J R et al.Atomic Data and Nuclear Data Tables ,1995,59:185 5. Sugahara Y ,Toki H .Nucl.Phys.,1994 ,A579:557 6. Gambhir Y K ,Ring P ,Thimet A .Ann.of Phys.,1990 ,198:132 7. Rizzutto M A ,Cybulsa E W et al.Nucl.Phys.,1994 ,A569:54 78. Otlen E W .In :Nuclear Radii and Moments of Unstable Nuclei,Treatieson Heavy Ion Science,Vol.7,ed.D .A .Bromley ,Plenum Press,Nework,1988.515 9. Lalazissis G A ,Sharma M M ,Ring P .Nucl.Phys.,1996,A597:35

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ZHOU Yong, LI JunQing, MA ZhongYu and CHEN BaoQiu. Ground-State Properties of Z=59 Isotopic Chain in the Relativistic Mean-Field Theory[J]. Chinese Physics C, 2000, 24(8): 748-754.
ZHOU Yong, LI JunQing, MA ZhongYu and CHEN BaoQiu. Ground-State Properties of Z=59 Isotopic Chain in the Relativistic Mean-Field Theory[J]. Chinese Physics C, 2000, 24(8): 748-754. shu
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Received: 1999-07-07
Revised: 1900-01-01
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Ground-State Properties of Z=59 Isotopic Chain in the Relativistic Mean-Field Theory

    Corresponding author: ZHOU Yong,
  • Research Center of Nuclear Theory of National Laboratory of Heavy Ion Accelerator of Lanzhou, Lanzhou 730000, China2 Institute of Modern Physics, CAS, Lanzhou 730000, China3 China Institute of Atomic Energy, Beijing 102413, China4 Institute of Theoretical Physics, CAS, Beijing 100080, China
  • Received Date: 1999-07-07
  • Accepted Date: 1900-01-01
  • Available Online: 2000-08-05

Abstract: The ground-state properties of Pr isotopic chain have been studied in the framework of the relativistic mean field(RMF) theory. The pairing correlation is treated by BCS method and the isospin dependent pairing forces have been used. The ‘blocking’ method is used to deal with the unpaired nucleon and the axially symmetric deformation is assumed. The theoretical results show that the RMF theory with non-linear meson self interactions provides a good description of the binding energy, the deformation of nuclei, the density distributions of neutrons and protons, the isotope shifts and so on over a large isospin range of Pr isotopes. The theoretical results are in good agreement with those obtained from the Finite Range Droplet Model. The domain of the validity of the BCS approximation is checked, and the extent and the origin of the BCS failure are studied.

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