2013/11/13 by Bing-Nan Lu, En-Guang Zhao, Shan-Gui Zhou
Mathematics · Physics and Astronomy · #Nuclear physics research studies #Quantum Mechanics and Non-Hermitian Physics #Spectral Theory in Mathematical Physics #nucl-ex #nucl-th #quant-ph
paper · pdf · doi:10.1088/1742-6596/533/1/012021
published as J. Phys: Conf. Ser. 533 (2014) 012021 · 4 pages, 2 figures; invited talk at the International School on Nuclear Physics, Neutron Physics and Applications, Sep 16-22, 2013, Varna, Bulgaria
arxiv created 2013/11/13 · openalex publication_date 2014/09/10 · arxiv updated 2014/10/23 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
The pseudospin symmetry (PSS) is a relativistic dynamical symmetry directly connected with the small component of the nucleon Dirac wave function. Much effort has been made to study this symmetry in bound states. Recently, a rigorous justification of the PSS in single particle resonant states was achieved by examining the asymptotic behaviors of the radial Dirac wave functions: The PSS in single particle resonant states in nuclei is conserved exactly when the attractive scalar and repulsive vector potentials have the same magnitude but opposite sign. Several issues related to the exact conservation and breaking mechanism of the PSS in single particle resonances were investigated by employing spherical square well potentials in which the PSS breaking part can be well isolated in the Jost function. A threshold effect in the energy splitting and an anomaly in the width splitting of pseudospin partners were found when the depth of the square well potential varies from zero to a finite value.