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

Abstract
HTML
Reference
Related

PDF

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.

[1]	SHENG Zong-Qiang , GUO Jian-You , MENG Ying . Systematic Analysis of E(5) Critical-Point Nuclei in A～130 Region with Relativistic Mean Field Theory. Chinese Physics C, 2007, 31(6): 558-563.
[2]	XU Qiang , ZHU Sheng-Jiang . Splitting of Pseudospin and Spin Partners in the Relativistic Harmonic Oscillator. Chinese Physics C, 2007, 31(3): 251-257.
[3]	MEI Hua , CHEN Hong , YAO Jiang-Ming , MENG Jie . Mirror Nuclei ¹²N and ¹²B in Relativistic Mean Field Theory. Chinese Physics C, 2006, 30(S2): 53-55.
[4]	SHENG Zong-Qiang , SHAO Ji-Hong , GUO Jian-You . Study of the Superdeformed State of ¹⁹⁶Pb in the Relativistic Mean Field Theory. Chinese Physics C, 2006, 30(6): 481-484.
[5]	YAO Jiang-Ming , MEI Hua , MENG Jie , CHEN Hong . Magnetic Moment in Relativistic Mean Field Theory. Chinese Physics C, 2006, 30(S2): 42-44.
[6]	SUN Bao-Yuan , MENG Jie . New Relativistic Mean Field Interactions for Light Nuclei. Chinese Physics C, 2006, 30(S2): 68-70.
[7]	ZHANG Hong-Fei , ZUO Wei , LI Jun-Qing , Soojae IM , MA Zhong-Yu , CHEN Bao-Qiu . Pb Isotope Shifts in the Relativistic Mean Field Theory. Chinese Physics C, 2006, 30(8): 745-749.
[8]	WANG Shi-Hu , GUO Jian-You . Relativistic Mean Field Study of Clustering in Heavy Nuclei. Chinese Physics C, 2006, 30(S2): 87-89.
[9]	DING Bin-Gang , LU Ding-Hui . Study on Pairing Energy Gap Parameter for O-isotopes in Relativistic Mean Field Theory. Chinese Physics C, 2005, 29(12): 1153-1156.
[10]	MENG Jie , ZHANG Shuang-Quan , GUO Jian-You . SLAP for Pairing in the Relativistic Mean Field Theory. Chinese Physics C, 2004, 28(S1): 84-86.
[11]	ZHANG Wei , MENG Jie , ZHANG Shuang-Quan . Production Cross Section of Superheavy Nuclei in Cold Fusion Reactions Based on the Relativistic Mean Field Theory. Chinese Physics C, 2004, 28(1): 61-68.
[12]	LI Yan-Song , LONG Gui-Lu , . Calculation of the Giant Monopole Resonance Using Relativistic Mean Field Theory. Chinese Physics C, 2004, 28(12): 1302-1306.
[13]	LI Jun , BAN Shu-Fang , JIA Huan-Yu , SANG Jian-Ping , MENG Jie . Description of the Nuclear Matter and Neutron Star in Relativistic Mean Field Theory with Density-Dependent Interactions. Chinese Physics C, 2004, 28(2): 140-147.
[14]	BAN Shu-Fang , MENG Jie . Nuclear Symmetry Energy for A=48 Isobars in Relativistic Mean Field Theory. Chinese Physics C, 2004, 28(S1): 66-68.
[15]	LONG Wen-Hui , MENG Jie , ZHOU Shan-Gui . Description of the New Nuclide ²⁵⁹Db and Its α-Decay Chain in Relativistic Mean Field Theory. Chinese Physics C, 2002, 26(8): 823-830.
[16]	CHEN Yu-Yan , PAN Feng . Applications of Mean-field Plus Nearest-Orbit Pairing Interaction Model to Well-Deformed Nuclei. Chinese Physics C, 2002, 26(11): 1142-1150.
[17]	LV Hong-Feng , LONG Wen-Hui , MENG Jie , ZHOU Shan-Gui . Effective Hyperon-Nucleon Interactions in the Relativistic Mean Field Theory. Chinese Physics C, 2002, 26(9): 933-940.
[18]	Shen Yaosong , Ren Zhongzhou . Relativistic Mean-Field Calculation for Hypernuclei. Chinese Physics C, 1997, 21(9): 831-837.
[19]	Zhu Zhiyuan . Identical Bands in Superdeformed Nuclei With the Cranked Relativistic Mean Field Method. Chinese Physics C, 1996, 20(5): 448-454.
[20]	Zhou Hongbo , Li Zhuxia , Zhuo Yizhong . Studying the influences of Mean Field and NN Cross Section on the Collective Flow at High and Intermediate Energy in the Relativistic VUU Approach. Chinese Physics C, 1995, 19(2): 156-164.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2927)
PDF Downloads(677)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
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.