Pseudospin symmetry in the relativistic Woods-Saxon

XU Qiang; WANG Ruo-Dong; ZHU Sheng-Jiang

Chinese Physics C> 2006, Vol. 30> Issue(3) : 207-211

Pseudospin symmetry in the relativistic Woods-Saxon

Department of Physics, Tsinghua University, Beijing 100084, China2 School of Physics and Material Science, Anhui University, Hefei 230039, China

Abstract
HTML
Reference
Related

PDF

Abstract：
The pseudospin symmetry is systematically investigated by solving the Dirac equation with an (scalar and vector) Woods-Saxon potential. We find that the splittings of pseudospin energy and the lower component of pseudospin doublets are sensitive to the nuclear radius and the nuclear diffusivity, but to the depth of nuclear potential. The splitting of pseudospin energy with larger n or l is more sensitive to the values of the parameters. The energy level crossing is also found for some pseudospin partners with variation of the nuclear mean field. With the increasing of nuclear radius and nuclear diffusibility, the splitting of the lower component of pseudospin doublets diffuses toward the nuclear surface and reaches the largest value on the nuclear surface. The splitting of pseudospin doublets increases with increasing nuclear diffusibility but decreases with increasing nuclear radius and the depth of nuclear potential. Because the variations of the parameters R and V₀are related with the number of nucleon and the characteristics of nuclear surface can be described by the parameter of diffusibility, the conclusions obtained are meaningful for analyzing nuclear properties.

References

[1]

. Arima A, Harvey M, Shimizu K. Phys. Lett., 1969, B30:5172. Hecht K T, Adler A. Nucl. Phys., 1969, A137: 1293. Bohr A, Hamamoto I, Mottelson B R. Phys. Scr., 1982, 26:2674. Dudek J, Nazarewicz W, Szymanski Z et al. Phys. Rev.Lett., 1987, 59: 14055. Nazarewicz W, Twin P J, Fallon P et al. Phys. Rev. Lett.,1990, 64: 16546. Stephens F S. Phys. Rev. Lett., 1990, 65: 3017. ZENG J Y, MENG J, WU C S et al. Phys. Rev., 1991,C44: R17458. Bohr A, Hamamoto I, Mottelson B R. Phys. Scr., 1982, 26:2679. Bahri C, Draayer J P, Moszkowski S A. Phys. Rev. Lett.,1992, 68: 213310. Blokhin A L, Beuschel T, Draayer J P et al. Nucl. Phys.,1997, A612: 16311. Castanos O, Moshinsky M, Quesne C. Phys. Letts., 1992,B277: 23812. Blokhin A L, Bahri C, Draayer J P. J. Phys., 1996, A29:203913. Serot B D, Walecka J D. Adv. Nucl. Phys., 1986, 16: 114. Ginocchio J N. Phys. Rev. Lett., 1997, 78: 43615. MENG J, Sugawara-Tanabe K, Yamaji S et al. Phys. Rev.,1998, C58: R62816. MENG J, Sugawara-Tanabe K, Yamaji S et al. Phys. Rev.,1999, C59: 15417. Ginocchio J N. Phys. Rev. Lett., 1999, 82: 459918. Sugawara-Tanabe K, Arima A. Phys. Rev., 1998, C58:R306519. Leeb H, Wilmsen S. Phys. Rev., 2000, C62: 02460220. Ginocchio J N, Leviatan A. Phys. Rev. Lett., 2001, 87:07250221. Ginocchio J N. Phys. Rev., 2002, C66: 06431222. Leviatanand A, Ginocchio J N. Phys. Lett., 2001, B518:21423. Alberto P, Fiolhais M, Malheiro M et al. Phys. Rev. Lett.,2001, 86: 501524. Lalazissis G A, Gambir Y K, Maharana J P et al. Phys.Rev., 1998, C58: R4525. Marcos S, Lo'pez-Quelle M, Niembro R et al. Phys. Lett.,2001, B513: 3026. Blokhin A L, Bahri C, Draayer J P. Phys. Rev Lett., 1995,74: 414927. Arima A. Report No, RIKEN-AF-NP-276

[1]	Lin Gan , Zhi-Hong Li , Hui-Bin Sun , Shi-Peng Hu , Er-Tao Li , Jian Zhong . Systematic study of the Woods-Saxon potential parametersbetween heavy-ions. Chinese Physics C, 2021, 45(5): 054105. doi: 10.1088/1674-1137/abe84f
[2]	Dong Bai , Zhongzhou Ren . Woods-Saxon-Gaussian potential and alpha-cluster structures ofalpha + closed shell nuclei. Chinese Physics C, 2018, 42(12): 124102. doi: 10.1088/1674-1137/42/12/124102
[3]	E. Maghsoodi , S. Zarrinkamar . Approximate solutions of Dirac equation with a ring-shaped Woods-Saxon potential by Nikiforov-Uvarov method. Chinese Physics C, 2013, 37(11): 113104. doi: 10.1088/1674-1137/37/11/113104
[4]	M. Ghominejad , B. H. Yazarloo , S. Zarrinkamar , H. Hassanabadi . Two-body Spinless Salpeter equation for the Woods-Saxon potential. Chinese Physics C, 2013, 37(8): 083102. doi: 10.1088/1674-1137/37/8/083102
[5]	S. M. Ikhdair , A. A. Rajabi . A semi-relativistic treatment of spinless particles subjectto the nuclear Woods-Saxon potential. Chinese Physics C, 2013, 37(6): 063101. doi: 10.1088/1674-1137/37/6/063101
[6]	XU Qiang , ZHU Sheng-Jiang . Splitting of Pseudospin and Spin Partners in the Relativistic Harmonic Oscillator. Chinese Physics C, 2007, 31(3): 251-257.
[7]	XU Qiang , GUO Jian-You , ZHU Sheng-Jiang . Pseudospin Symmetry and Spin Symmetry in Sn Isotopes from the Proton Drip Line to the Neutron Drip Line. Chinese Physics C, 2007, 31(2): 168-172.
[8]	XU Qiang , ZHU Sheng-Jiang . Splitting of Pseudospin and Spin Partners in the Relativistic Square Well. Chinese Physics C, 2006, 30(S2): 71-74.
[9]	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.
[10]	HUANG Bo-Wen . Supersymmetry of a Double Ring-Shaped Oscillator. Chinese Physics C, 2003, 27(9): 770-774.
[11]	CHEN Ti-Sheng , LV Hong-Feng , MENG Jie , ZHOU Shan-Gui . Pseudospin Symmetry in Real Nuclei. Chinese Physics C, 2003, 27(4): 324-327.
[12]	Xie Wenfang , Bao Chengguang . Effect of Symmetry on Structure of 3-Fermion Systems With Spin S=1/2. Chinese Physics C, 1996, 20(1): 92-96.
[13]	Xing Zhizhong . Quark Mass Matrices and CP Violation. Chinese Physics C, 1995, 19(7): 667-671.
[14]	Ruan Wenying , Bac Chengguang . The Effect of Symmetry on The Structures of Three-Body Systems. Chinese Physics C, 1994, 18(1): 74-80.
[15]	LI Fu-Bin . Spontaneous symmetry Breakdown and an Integral Expression of the Effective Potential in Quantum Electrodynamics. Chinese Physics C, 1992, 16(3): 212-218.
[16]	HOU De-Fu , LI Jia-Rong . The Restoration of Symmetry and Plasmon Effects at High Temperature and High Density in the Weinberg-Salam Model. Chinese Physics C, 1991, 15(5): 427-436.
[17]	ZHU Chao-Yuan , HU Shi-Ke . EFFECTIVE-POTENTIAL STUDY OF DYNAMICAL CHIRAL SYMMETRY BREAKING IN QUANTUM CHROMODYNAMICS. Chinese Physics C, 1987, 11(4): 451-461.
[18]	WAN Ling-De , LU Gong-Gu , DU Dong-Sheng . DISCRETE SYMMETRY AND SO(2n) GRAND UNIFIED MODEL. Chinese Physics C, 1984, 8(6): 668-676.
[19]	YANG Bo-Jun . SYMMETRY OF ROTATION-VIBRATION SPECTRA FOR NUCLEAR MOLECULE. Chinese Physics C, 1984, 8(4): 482-485.
[20]	ELEMENTARY PARTICLE THEORY GROUP DEPARTMENT OF PHYSICS PEKING UNIVERSITY . THE SYMMETRY OF STRATONS IN. Chinese Physics C, 1977, 1(1): 19-36.

Access

Get Citation

XU Qiang, WANG Ruo-Dong and ZHU Sheng-Jiang. Pseudospin symmetry in the relativistic Woods-Saxon[J]. Chinese Physics C, 2006, 30(3): 207-211.

XU Qiang, WANG Ruo-Dong and ZHU Sheng-Jiang. Pseudospin symmetry in the relativistic Woods-Saxon[J]. Chinese Physics C, 2006, 30(3): 207-211. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2005-07-05
Revised: 2005-10-09

Article Metric

Article Views(3194)
PDF Downloads(692)
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

Pseudospin symmetry in the relativistic Woods-Saxon

Corresponding author: XU Qiang,

Department of Physics, Tsinghua University, Beijing 100084, China2 School of Physics and Material Science, Anhui University, Hefei 230039, China

Received Date: 2005-07-05

Accepted Date: 2005-10-09

Available Online: 2006-03-05

Abstract: The pseudospin symmetry is systematically investigated by solving the Dirac equation with an (scalar and vector) Woods-Saxon potential. We find that the splittings of pseudospin energy and the lower component of pseudospin doublets are sensitive to the nuclear radius and the nuclear diffusivity, but to the depth of nuclear potential. The splitting of pseudospin energy with larger n or l is more sensitive to the values of the parameters. The energy level crossing is also found for some pseudospin partners with variation of the nuclear mean field. With the increasing of nuclear radius and nuclear diffusibility, the splitting of the lower component of pseudospin doublets diffuses toward the nuclear surface and reaches the largest value on the nuclear surface. The splitting of pseudospin doublets increases with increasing nuclear diffusibility but decreases with increasing nuclear radius and the depth of nuclear potential. Because the variations of the parameters R and V₀are related with the number of nucleon and the characteristics of nuclear surface can be described by the parameter of diffusibility, the conclusions obtained are meaningful for analyzing nuclear properties.

HTML

Reference (1)

Pseudospin symmetry in the relativistic Woods-Saxon

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article