单粒子共振态赝自旋对称性的精确守恒和破缺
Exact conservation and breaking of pseudospin symmetry in single particle resonant states
摘要：
本文介绍了单粒子共振态赝自旋对称性的研究结果。PSS是与核子狄拉克波函数的小分量相联系的相对论动力学对称性。人们做了许多努力来研究束缚态中的这种对称性。最近，我们通过检查对应于径向狄拉克波函数的小分量的Jost函数的零点和连续态的相移[1，Phys. Rev. Lett. 109（2012）072501]。我们证明了当吸引标量势和排斥矢量势大小相同但符号相反时，核中单粒子共振态的PSS是守恒的。在单粒子共振的精确守恒和这种对称性的破坏的例子给出了球形方井和伍兹-撒克逊潜力。
英文摘要：
In this contribution we present some results on the study of pseudospin symmetry (PSS) in single particle resonant states. The PSS is a relativistic dynamical symmetry connected with the small component of the nucleon Dirac wave function. Many efforts have been made to study this symmetry in bound states. We recently gave a rigorous justification of the PSS in single particle resonant states by examining the zeros of Jost functions corresponding to the small components of the radial Dirac wave functions and phase shifts of continuum states [1, Phys. Rev. Lett. 109 (2012) 072501]. We have shown that the PSS in single particle resonant states in nuclei is conserved when the attractive scalar and repulsive vector potentials have the same magnitude but opposite sign. Examples of exact conservation and breaking of this symmetry in single particle resonances are given for spherical square-well and Woods-Saxon potentials.
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