Effects of Tensor Coupling on Spin-Orbit Splittings in the Relativistic Mean Field Theory

LU Hong-Feng; MENG Jie

Chinese Physics C> 2006, Vol. 30> Issue(5) : 412-416

Effects of Tensor Coupling on Spin-Orbit Splittings in the Relativistic Mean Field Theory

LU Hong-Feng ,
MENG Jie ^,

School of Physics, Peking University, Beijing 100871, China2 Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100080, China3 Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000, China

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Abstract：
The effects of iso-scalar ω tensor coupling on spin-orbit splittings are studied in the framework of the Relativistic Mean Field theory. Taking ²⁰⁸Pb as an example, the influence of iso-scalar ω tensor coupling on nuclear mean-field potentials, σ-, ω- and ρ-meson fields, spin-orbit potentials, spin-orbit splittings and the single-particle level structure near the Fermi level are presented. It is found that the tensor term mainly changes the nuclear mean-field potential at the surface. A larger tensor coupling term will lead to stronger spin-orbit potential and larger spin-orbit splitting in the single particle level, which will change the single particle level structure, remove the traditional magic numbers and produce new ones.

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LU Hong-Feng and MENG Jie. Effects of Tensor Coupling on Spin-Orbit Splittings in the Relativistic Mean Field Theory[J]. Chinese Physics C, 2006, 30(5): 412-416.

LU Hong-Feng and MENG Jie. Effects of Tensor Coupling on Spin-Orbit Splittings in the Relativistic Mean Field Theory[J]. Chinese Physics C, 2006, 30(5): 412-416. shu

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Received: 2005-10-18
Revised: 2005-12-26

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沈阳化工大学材料科学与工程学院沈阳 110142

Effects of Tensor Coupling on Spin-Orbit Splittings in the Relativistic Mean Field Theory

LU Hong-Feng
MENG Jie ^,

Corresponding author: MENG Jie,

School of Physics, Peking University, Beijing 100871, China2 Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100080, China3 Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000, China

Received Date: 2005-10-18
Accepted Date: 2005-12-26
Available Online: 2006-05-05

Abstract: The effects of iso-scalar ω tensor coupling on spin-orbit splittings are studied in the framework of the Relativistic Mean Field theory. Taking ²⁰⁸Pb as an example, the influence of iso-scalar ω tensor coupling on nuclear mean-field potentials, σ-, ω- and ρ-meson fields, spin-orbit potentials, spin-orbit splittings and the single-particle level structure near the Fermi level are presented. It is found that the tensor term mainly changes the nuclear mean-field potential at the surface. A larger tensor coupling term will lead to stronger spin-orbit potential and larger spin-orbit splitting in the single particle level, which will change the single particle level structure, remove the traditional magic numbers and produce new ones.