Pseudospin Symmetry and Spin Symmetry in Sn Isotopes from the Proton Drip Line to the Neutron Drip Line

  • Pseudospin symmetry and spin symmetry in Sn isotopes from the proton drip line to the neutron drip line are investigated in spherical relativistic mean field theory with NLSH force parameter. We can conclude the following: (1) The pseudospin wavefunction splitting decreases from the proton drip line to the neutron drip line for all the pseudospin doublets. Only the neutron spin wavefunction splitting for the high energy level decreases monotonically with increasing the number of neutrons. (2) As for the certain isotope, when n=1, pseudospin wavefunction splitting increases monotonically with l increasing. When n=2, only the neutron spin wavefunction splitting increases monotonically with l increasing. When l=2 or 3, only the neutron spin wavefunction increases monotonically with n increasing. (3) The spin-orbital splitting for the neutron and proton is always closer to each other than their pseudospin pseudo-orbital splitting in the relativistic mean field theory.
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XU Qiang, GUO Jian-You and ZHU Sheng-Jiang. Pseudospin Symmetry and Spin Symmetry in Sn Isotopes from the Proton Drip Line to the Neutron Drip Line[J]. Chinese Physics C, 2007, 31(2): 168-172.
XU Qiang, GUO Jian-You and ZHU Sheng-Jiang. Pseudospin Symmetry and Spin Symmetry in Sn Isotopes from the Proton Drip Line to the Neutron Drip Line[J]. Chinese Physics C, 2007, 31(2): 168-172. shu
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Received: 2006-05-09
Revised: 2006-07-07
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Pseudospin Symmetry and Spin Symmetry in Sn Isotopes from the Proton Drip Line to the Neutron Drip Line

    Corresponding author: ZHU Sheng-Jiang,
  • Department of Physics, Tsinghua University, Beijing 100084, China2 School of Physics and Material Science, Anhui University, Hefei 230039, China

Abstract: Pseudospin symmetry and spin symmetry in Sn isotopes from the proton drip line to the neutron drip line are investigated in spherical relativistic mean field theory with NLSH force parameter. We can conclude the following: (1) The pseudospin wavefunction splitting decreases from the proton drip line to the neutron drip line for all the pseudospin doublets. Only the neutron spin wavefunction splitting for the high energy level decreases monotonically with increasing the number of neutrons. (2) As for the certain isotope, when n=1, pseudospin wavefunction splitting increases monotonically with l increasing. When n=2, only the neutron spin wavefunction splitting increases monotonically with l increasing. When l=2 or 3, only the neutron spin wavefunction increases monotonically with n increasing. (3) The spin-orbital splitting for the neutron and proton is always closer to each other than their pseudospin pseudo-orbital splitting in the relativistic mean field theory.

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