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Pseudospin symmetry in single-particle resonances in spherical square wells

文献类型:期刊论文

作者Zhou, SG; Zhao, EG
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
ISSN号0556-2813
通讯作者Lu, BN (reprint author), Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Beijing 100190, 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.
学科主题Physics
收录类别SCI
资助信息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]
原文出处http://dx.doi.org/10.1103/PhysRevC.88.024323
语种英语
WOS记录号WOS:000323575500001
公开日期2014-04-25
源URL[http://ir.itp.ac.cn/handle/311006/15294]  
专题理论物理研究所_理论物理所1978-2010年知识产出
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GB/T 7714
Zhou, SG,Zhao, EG. Pseudospin symmetry in single-particle resonances in spherical square wells[J]. PHYSICAL REVIEW C,2013,88(2):24323.
APA Zhou, SG,&Zhao, EG.(2013).Pseudospin symmetry in single-particle resonances in spherical square wells.PHYSICAL REVIEW C,88(2),24323.
MLA Zhou, SG,et al."Pseudospin symmetry in single-particle resonances in spherical square wells".PHYSICAL REVIEW C 88.2(2013):24323.

入库方式: OAI收割

来源:理论物理研究所

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