Pseudospin symmetry in single particle resonant states

Abstract

The pseudospin symmetry is a relativistic dynamical symmetry connected with the small component of the Dirac spinor. The origin of pseudospin symmetry 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 pseudospin symmetry 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 pseudospin symmetry are illustrated for single particle resonances in spherical square-well and Woods-Saxon potentials.

arXiv comment5 pages, 2 figures; Figure 2 and discussion modified; Phys. Rev. Lett., in press

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• Crucial test for covariant density functional theory with new and accurate mass measurements from Sn to Pa
• Probing the resonance of Dirac particle by the application of complex momentum representation
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• Green's function relativistic mean field theory for $\Lambda$ hypernuclei
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• Pseudospin symmetry in nuclear structure and its supersymmetric representation
• Relativistic Coulomb scattering of spinless bosons
• Recent progresses on the pseudospin symmetry in single particle resonant states
• Pseudospin symmetry: Recent progress with supersymmetric quantum mechanics
• Band crossings in ${}^{168}$Ta: a particle-number conserving analysis
• Fermions embedded in a scalar-vector kink-like smooth potential
• Extending the nuclear chart by continuum: from oxygen to titanium