Splitting of Pseudospin and Spin Partners in the Relativistic Square Well

XU Qiang; ZHU Sheng-Jiang

Chinese Physics C> 2006, Vol. 30> Issue(S2) : 71-74

Splitting of Pseudospin and Spin Partners in the Relativistic Square Well

XU Qiang ^, ,
ZHU Sheng-Jiang

Department of Physics,Tsinghua University, Beijing 100084, China

Abstract
HTML
Reference
Related

PDF

Abstract：
Pseudospin symmetry and spin symmetry in the relativistic square well are investigated systematically by solving the Dirac equation with scalar and vector potentials and are found to be a good approximation in realistic nuclei such as ²⁰⁸Pb. The pseudospin breaking and spin breaking are shown in correlation with nuclear mean field. The square well radius plays an important role in the splittings of energy and wavefunction. The dependence of splittings with quantum numbers is also analyzed.

References

[1]

. Arima A, Harvey M, Shimizu K. Phys. Lett., 1969, B30:5172. Hecht K T, Adler A. Nucl. Phys., 1969, A137: 1293. Ginocchio J N. Phys. Rev. Lett., 1997, 78: 4364. Ginocchio J N, Leviatan A. Phys. Rev. Lett., 2001, 87:0725025. Ginocchio J N. Phys. Rev., 2002, C66: 0643126. MENG J, Sugawara-Tanabe K, Yamaji S et al. Phys. Rev.,1998, C58: R6287. MENG J, Sugawara-Tanabe K, Yamaji S et al. Phys. Rev.,1999, C59: 154

[1]	XU Yi-Chun , SHAO Ming , ZHANG Zi-Ping . Simulation Study on the Splitting Effect of Transverse Mass Spectra in p+p Collisions at √S=200GeV Using PYTHIA. Chinese Physics C, 2007, 31(6): 538-542.
[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]	HE Chuang-Ye , ZHU Li-Hua , WU Xiao-Guang , WANG Zhi-Min , LIU Yin , CUI Xing-Zhu , ZHANG Zhen-Long , MENG Rui , MA Rui-Gang , SUN Hui-Bin , WEN Shu-Xian , LI Guang-Sheng , . High Spin State Structure of _106Ag. Chinese Physics C, 2006, 30(10): 966-971.
[4]	XIANG Wen-Chang , DING Heng-Tong , ZHOU Dai-Cui . Medium-Induced Parton Splitting Probability. Chinese Physics C, 2006, 30(9): 863-867.
[5]	ZHANG Shi-Sheng , ZHANG Wei , SUN Bao-Hua , GUO Jian-You , ZHOU Shan-Gui . Does Pseudo-Spin Symmetry Exist in the Continuum?. Chinese Physics C, 2006, 30(S2): 97-99.
[6]	XU Qiang , WANG Ruo-Dong , ZHU Sheng-Jiang . Pseudospin symmetry in the relativistic Woods-Saxon. Chinese Physics C, 2006, 30(3): 207-211.
[7]	LI Ming-Liang , ZHU Sheng-Jiang , XU Fu-Xin . Comparative Assignments of Spin of Superdeformed Bands. Chinese Physics C, 2005, 29(10): 954-959.
[8]	SUN Sheng-Sen , SHEN Xiao-Yan , ZHENG Zhi-Peng , YAN Mu-Lin . Monte Carlo Study of K^*(892) Mass Splitting at BEPCⅡ/BESⅢ. Chinese Physics C, 2004, 28(5): 463-468.
[9]	HE Jian-Jun , ZHANG Yu-Hu , GUO Ying-Xiang , ZHOU Xiao-Hong , LEI Xiang-Guo , HUANG Wen-Xue , FENG Xi-Chen , ZHANG Shuang-Quan , XU Xiao , LIU Zhong , LUO Yi-Xiao , WEN Shu-Xian , WU Xiao-Guang , YUAN Guan-Jun . Investigation of High-Spin States in ¹⁴³Pm. Chinese Physics C, 2001, 25(9): 828-833.
[10]	NI Zhi-Xiang . Nonlinear Spectrum and Generating Algebra for Infinitely Deep Square Well Potential and New Coherent State. Chinese Physics C, 2001, 25(6): 487-493.
[11]	WANG QingHai , RUAN TuNan . Covariant Wave Functions of Integral Spin Particles. Chinese Physics C, 2000, 24(9): 797-804.
[12]	GUO Hua . Nuclear Surface Properties and Spin-Orbit Potential in Modified Derivative Scalar Couplings. Chinese Physics C, 2000, 24(11): 1030-1037.
[13]	Yu Hong , Shen Qixing . How to Determine the Spin of the ξ(2230). Chinese Physics C, 1998, 22(1): 92-96.
[14]	Li Long . Two Kinds of Signature Splittings in Odd-A Superdeformed Nuclei. Chinese Physics C, 1998, 22(8): 732-738.
[15]	Ma Weixing , Wu Qing . The Spin Crisis of the Proton. Chinese Physics C, 1997, 21(4): 362-367.
[16]	Dong Yubing . Study of Proton Spin-Dependent Structures. Chinese Physics C, 1995, 19(10): 936-940.
[17]	Liao Jizhi . The Exact Energy Spectra of States with Good Quasi-Spin in the Double-Quasi-Spin Model. Chinese Physics C, 1994, 18(7): 637-646.
[18]	LUO Zhen-Fei , QIU Xi-Jun . A Unified Description for Hyperfine Mass Splitting of Mesons. Chinese Physics C, 1992, 16(2): 118-122.
[19]	REN Zhong-Zhou , XU Gong-Ou . ALPHA CLUSTERING WITH PAIRING FORCES DEPENDENT OF SPIN AND ISOSPIN. Chinese Physics C, 1990, 14(1): 92-96.
[20]	BAo GUAN-XIONG . GLAUBER QUARK MODEL WITH SPIN EFFECT. Chinese Physics C, 1981, 5(1): 141-144.

Access

Get Citation

XU Qiang and ZHU Sheng-Jiang. Splitting of Pseudospin and Spin Partners in the Relativistic Square Well[J]. Chinese Physics C, 2006, 30(S2): 71-74.

XU Qiang and ZHU Sheng-Jiang. Splitting of Pseudospin and Spin Partners in the Relativistic Square Well[J]. Chinese Physics C, 2006, 30(S2): 71-74. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2006-10-13
Revised: 1900-01-01

Article Metric

Article Views(3292)
PDF Downloads(679)
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

Splitting of Pseudospin and Spin Partners in the Relativistic Square Well

XU Qiang ^,
ZHU Sheng-Jiang

Corresponding author: XU Qiang,

Department of Physics,Tsinghua University, Beijing 100084, China

Received Date: 2006-10-13
Accepted Date: 1900-01-01
Available Online: 2006-01-03

Abstract: Pseudospin symmetry and spin symmetry in the relativistic square well are investigated systematically by solving the Dirac equation with scalar and vector potentials and are found to be a good approximation in realistic nuclei such as ²⁰⁸Pb. The pseudospin breaking and spin breaking are shown in correlation with nuclear mean field. The square well radius plays an important role in the splittings of energy and wavefunction. The dependence of splittings with quantum numbers is also analyzed.