2012/04/30 by Bing-Nan Lu, En-Guang Zhao, Shan-Gui Zhou
Mathematics · Physics and Astronomy · #Bound state #Classical mechanics #Dirac (video compression format) #Dirac equation #Nuclear physics research studies #Physics #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Quantum electrodynamics #Quantum mechanics #Scalar (mathematics) #Spinor #Symmetry (geometry) #Symmetry breaking #Wave function #math-ph #math.MP #nucl-ex #nucl-th #quant-ph
paper · pdf · doi:10.1103/physrevlett.109.072501
published as Phys. Rev. Lett 109, 072501 (2012) · 5 pages, 2 figures; Figure 2 and discussion modified; Phys. Rev. Lett., in press
arxiv created 2012/07/07 · openalex publication_date 2012/08/16 · arxiv updated 2012/08/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The pseudospin symmetry (PSS) is a relativistic dynamical symmetry connected with the small component of the Dirac spinor. The origin of PSS in single particle bound states in atomic nuclei has been revealed and studied extensively. By examining the zeros of Jost functions corresponding to the small components of Dirac wave functions and phase shifts of continuum states, we show 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. The exact conservation and the breaking of the PSS are illustrated for single particle resonances in spherical square-well and Woods-Saxon potentials.