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On pseudospin symmetry of Dirac states

机译:关于狄拉克态的伪自旋对称性

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摘要

Some aspects of pseudospin symmetry for bound Dirac particle states of finite potentials vanishing as r → + ∞ are discussed. Energy states showing pseudospin symmetry are of interest in nuclear spectroscopy for states explained by a single nucleon interacting with a heavy nucleus. Such states may be approximated by Dirac theory as Dirac particle states with positive relativistic energies and/or Dirac anti-particles with negative relativistic energies. It is confirmed, in this study of an exponential-shaped potential model of vector, scalar and tensor interactions, that positive-energy pseudospin symmetric Dirac states exist in relativistic quantum mechanics, but not in the Schr?dinger theory, and that tensor coupling may play an important role in the pseudospin symmetry.
机译:讨论了随着r→+∞消失的有限势的束缚Dirac粒子状态的伪自旋对称性的某些方面。在核能谱中,由单个核子与重核相互作用所解释的状态在核能谱中显示出具有假自旋对称性的能态。这样的状态可以通过狄拉克理论近似为具有相对论能量的狄拉克粒子状态和/或具有相对论能量的狄拉克反粒子。在对矢量,标量和张量相互作用的指数形势模型的研究中证实,相对论量子力学中存在正能量伪自旋对称狄拉克状态,但在薛定er理论中不存在,并且张量耦合可能在伪自旋对称中起重要作用。

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