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题名: Pseudospin symmetry in single-particle resonances in spherical square wells
作者: Lu, BN ;  Zhao, EG ;  Zhou, SG
刊名: PHYSICAL REVIEW C
出版日期: 2013
卷号: 88, 期号:2, 页码:24323
关键词: HARTREE-BOGOLIUBOV THEORY ;  MEAN-FIELD THEORY ;  GROUND-STATE PROPERTIES ;  NEUTRON DRIP-LINE ;  PLUS BCS APPROACH ;  DEFORMED-NUCLEI ;  DIRAC-EQUATION ;  RELATIVISTIC SYMMETRY ;  SPIN SYMMETRY ;  EXOTIC NUCLEI
学科分类: Physics
通讯作者: Lu, BN (reprint author), Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Beijing 100190, Peoples R China.
部门归属: [Lu, Bing-Nan; Zhao, En-Guang; Zhou, Shan-Gui] Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Beijing 100190, Peoples R China; [Zhao, En-Guang; Zhou, Shan-Gui] Natl Lab Heavy Ion Accelerator, Ctr Theoret Nucl Phys, Lanzhou 730000, Peoples R China
英文摘要: Background: The pseudospin symmetry (PSS) has been studied extensively for bound states. Recently, we justified rigorously that the PSS in single-particle resonant states is exactly conserved when the attractive scalar and repulsive vector potentials of the Dirac Hamiltonian have the same magnitude but opposite sign [Phys. Rev. Lett. 109, 072501 (2012)]. Purpose: To understand more deeply the PSS in single-particle resonant states, we focus on several issues related to the exact conservation and breaking mechanism of the PSS in single-particle resonances. In particular, we are interested in how the energy and width splittings of PS partners depend on the depth of the scalar and vector potentials. Methods: We investigate the asymptotic behaviors of radial Dirac wave functions. Spherical square-well potentials are employed in which the PSS breaking part in the Jost function can be well isolated. By examining the zeros of Jost functions corresponding to small components of the radial Dirac wave functions, general properties of the PSS are analyzed. Results: By examining the Jost function, the occurrence of intruder orbitals is explained and it is possible to trace continuously the PS partners from the PSS limit to the case with a finite potential depth. The dependence of the PSS in resonances as well as in bound states on the potential depth is investigated systematically. We find a threshold effect in the energy splitting and an anomaly in the width splitting of pseudospin partners when the depth of the single-particle potential varies from zero to a finite value. Conclusions: The conservation and the breaking of the PSS in resonant states and bound states share some similar properties. The appearance of intruder states can be explained by examining the zeros of Jost functions. Origins of the threshold effect in the energy splitting and the anomaly in the width splitting of PS partners, together with many other problems, are still open and should be further investigated.
资助者: Major State Basic Research Development Program of China [2013CB834400]; National Natural Science Foundation of China [11121403, 11175252, 11120101005, 11211120152, 11275248]; Knowledge Innovation Project of Chinese Academy of Sciences [KJCX2-EW-N01]
收录类别: SCI
原文出处: 查看原文
语种: 英语
WOS记录号: WOS:000323575500001
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/15294
Appears in Collections:理论物理所2013年知识产出 _期刊论文

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Lu, BN,Zhao, EG,Zhou, SG. Pseudospin symmetry in single-particle resonances in spherical square wells[J]. PHYSICAL REVIEW C,2013,88(2):24323.
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