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

XU Qiang; GUO Jian-You; ZHU Sheng-Jiang

Chinese Physics C> 2007, Vol. 31> Issue(2) : 168-172

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

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：
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.

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. Bahri C, Draayer J P, Moszkowski S A. Phys. Rev. Lett.,1992, 68: 21338. Blokhin A L, Beuschel T, Draayer J P et al. Nucl. Phys.,1997, A612: 1639. Serot B D, Walecka J D. Adv. Nucl. Phys., 1986, 16: 110. Ginocchio J N. Phys. Rev. Lett., 1997, 78: 43611. MENG J, Sugawara-Tanabe K, Yamaji S et al. Phys. Rev.,1998, C58: R62812. MENG J, Sugawara-Tanabe K, Yamaji S et al. Phys. Rev.,1999, C59: 15413. Alberto P, Fiolhais M, Malheiro M et al. Phys. Rev. Lett.,2001, 86: 501514. GUO J Y, FANG X Z, XU F X. Nucl. Phys., 2005, A757:44115. GUO J Y,WANG R D, FANG X Z. Phys. Rev., 2005, C72:05431916. XU Q, ZHU S J. Nucl. Phys., 2006, A768: 16117. MENG J, Tanihata I. Nucl. Phys., 1999, A650: 17618. ZHANG S Q, MENG J, ZHOU S G. Science in China, 2003,G33: 289-316 (in Chinese)(张双全, 孟杰, 周善贵. 中国科学, 2003, G33: 289-316)19. Ginocchio J N, Leviatan A. Phys. Rev. Lett., 2001, 87:07250220. MENG J, Toki H, ZHOU S G et al. Progr. Part. Nucl.Phys., 2005, in press21. Vretenar D, Afanasjev A V, Lalazissis G A et al. Phys.Reports, 2005, 409: 10122. Sharma M M, Nagarajan M A, Ring P. Phys. Lett., 1993,B312: 377

[1]	CHEN Yong-Shou , GAO Zao-Chun . Spontaneously Broken Rotational Symmetry in Nuclear Structure: Some New Theoretical Aspects. Chinese Physics C, 2006, 30(S2): 14-19.
[2]	LIU Lang , MENG Jie , ZHANG Shuang-Quan . Properties of Sn isotopes in the self-consistent RMF+SLAP for pairing correlations. Chinese Physics C, 2006, 30(4): 299-305.
[3]	YE Wei . Particle Evaporation in the Fission Process of Nuclei ^100,104Sn. Chinese Physics C, 2006, 30(3): 217-219.
[4]	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.
[5]	XU Qiang , WANG Ruo-Dong , ZHU Sheng-Jiang . Pseudospin symmetry in the relativistic Woods-Saxon. Chinese Physics C, 2006, 30(3): 207-211.
[6]	XU Shu-Wei , XIE Yuan-Xiang , XU Fu-Rong , LI Zhan-Kui , WANG Xu-Dong , XING Ye-Bing . Further Identification of the Decay of ¹²⁹Pm Near the Proton Drip Line. Chinese Physics C, 2005, 29(3): 237-239.
[7]	CHEN Ti-Sheng , LV Hong-Feng , MENG Jie , ZHOU Shan-Gui . Pseudospin Symmetry in Real Nuclei. Chinese Physics C, 2003, 27(4): 324-327.
[8]	Xie Yuanxiang , Xu Shuwei , Li Zhankui , Ma Ruichang , Ge Yuanxiu , Wang Chunfang , Huang Wenxue , Zhang Tianmei . Synthesis and Study of the New β-delayed Proton Precursor Ce in the Region of Proton-drip Line. Chinese Physics C, 1997, 21(7): 668-671.
[9]	Wen Wanxin , Jin Genming , Zhong Jiquan . Ground-State Properties of the Doubly-Magic Nucleus ¹⁰⁰Sn. Chinese Physics C, 1996, 20(2): 148-152.
[10]	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.
[11]	Ren Zhongzhou , Xu Gongou . Microscopic Studies on Ground State Properties of the Nucleus ¹⁰⁰Sn. Chinese Physics C, 1995, 19(11): 1029-1035.
[12]	Xu Xiaoji , Ma Ruichang , Huang Wenxue , Hu Zhiqiang , Guo Junsheng , Guo Yingxiang , Xu Lianlian , Liu Hongye , Luo Yixiao , Wang Shuhong , Kong Dengming , Qiao Jimin . First Observation of β-delayed Proton Decay of the Proton Drip Line Nuclide ¹⁹Na. Chinese Physics C, 1995, 19(3): 203-208.
[13]	LI Guang-Hua , HE Hui-Yong . THE U(90) DYNAMICAL SYMMETRY IN LIGHT NUCLEI. Chinese Physics C, 1990, 14(2): 164-170.
[14]	SUN Hong-Zhou , WANG Wei-Wei , ZHAO En-Guang , CHEN Sheng-Zhong . DYNAMICAL SUPERSYMMETRY U(36/24) IN LIGHT NUCLEI. Chinese Physics C, 1989, 13(3): 282-284.
[15]	YANG Bo-Jun . SYMMETRY OF THE ROTATION+VIBRATION SPECTRA FOR NUCLEAR MOLECULE ¹²C+¹²C. Chinese Physics C, 1986, 10(1): 98-103.
[16]	ZHU Pei-Yu , CAO Yu-Fang , WU You-Shi . U(6/20) SUPERSYMMETRY IN NUCLEI AND ITS Spin (6) LIMIT. Chinese Physics C, 1985, 9(3): 278-282.
[17]	XU Gong-Ou . THE GENERATOR COORDINATE METHOD AND NUCLEAR COLLECTIVE MOTIONS (Ⅶ) THE PRESERVATION OF SYMMETRY PRORERTIES. Chinese Physics C, 1984, 8(2): 207-214.
[18]	YANG Bo-Jun . SYMMETRY OF ROTATION-VIBRATION SPECTRA FOR NUCLEAR MOLECULE. Chinese Physics C, 1984, 8(4): 482-485.
[19]	ZHANG QI-REN . PARTIAL RESTORATION OF THE CHIRAL SYMMETRY AND THE π CONDENSATION IN NUCLEAR MATTER. Chinese Physics C, 1981, 5(3): 314-320.
[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, 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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2006-05-09
Revised: 2006-07-07

Article Metric

Article Views(4352)
PDF Downloads(735)
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 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

Received Date: 2006-05-09

Accepted Date: 2006-07-07

Available Online: 2007-02-05

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.

HTML

Reference (1)

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

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article