Study of the Superdeformed State of 196Pb in the Relativistic Mean Field Theory

  • Based on the constrained relativistic mean field (RMF) theory, the superdeformed states of 196Pb are systematically investigated with four different interactions, TMA, PK1, NL3 and NL-SH. The potential surface, the quadruple deformation of ground and superdeformed states, and the excitation energies of superdeformed states are calculated. The results show that the shape of 196Pb is oblate for the ground state with deformation β2≈-0.15, and prolate for the superdeformed states with deformation β2≈0.60. The calculated excitation energy and the depth of the potential well of the superdeformed state are approximately equal to 4.5MeV and 1.6MeV, respectively. These results are in good agreement with the current experimental data. It indicates that RMF theory can well describe the energy of the band head of superdeformed rotational band in 196Pb.
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SHENG Zong-Qiang, SHAO Ji-Hong and GUO Jian-You. Study of the Superdeformed State of 196Pb in the Relativistic Mean Field Theory[J]. Chinese Physics C, 2006, 30(6): 481-484.
SHENG Zong-Qiang, SHAO Ji-Hong and GUO Jian-You. Study of the Superdeformed State of 196Pb in the Relativistic Mean Field Theory[J]. Chinese Physics C, 2006, 30(6): 481-484. shu
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Received: 2005-12-15
Revised: 2006-01-22
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Study of the Superdeformed State of 196Pb in the Relativistic Mean Field Theory

    Corresponding author: SHENG Zong-Qiang,
  • Department of Mathematics & Physics, Anhui University of Science and Technology, Huainan 232001, China2 School of Physics & Material, Anhui University, Hefei 230039, China

Abstract: Based on the constrained relativistic mean field (RMF) theory, the superdeformed states of 196Pb are systematically investigated with four different interactions, TMA, PK1, NL3 and NL-SH. The potential surface, the quadruple deformation of ground and superdeformed states, and the excitation energies of superdeformed states are calculated. The results show that the shape of 196Pb is oblate for the ground state with deformation β2≈-0.15, and prolate for the superdeformed states with deformation β2≈0.60. The calculated excitation energy and the depth of the potential well of the superdeformed state are approximately equal to 4.5MeV and 1.6MeV, respectively. These results are in good agreement with the current experimental data. It indicates that RMF theory can well describe the energy of the band head of superdeformed rotational band in 196Pb.

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