Test of Nuclear Wave Functions for Pseudospin Symmetry

Abstract

Using the fact that pseudospin is an approximate symmetry of the Dirac Hamiltonian with realistic scalar and vector mean fields, we derive the wave functions of the pseudospin partners of eigenstates of a realistic Dirac Hamiltonian and compare these wave functions with the wave functions of the Dirac eigenstates.

11 pages, 4 figures, minor changes in text and figures to conform with PRL requirements

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• Relativistic Harmonic Oscillator with Spin Symmetry
• Tensor coupling and pseudospin symmetry in nuclei
• Pseudospin symmetry as a relativistic dynamical symmetry in the nucleus
• Test of Pseudospin Symmetry in Deformed Nuclei
• Consequences of a Relativistic Pseudospin Symmetry for Radial Nodes and Intruder Levels in Nuclei
• Pseudospin symmetry in supersymmetric quantum mechanics: Schrödinger equations
• Exploration of relativistic symmetry by the similarity renormalization group
• Isospin dependence of pseudospin symmetry in nuclear resonant states
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• Role of the Coulomb and the vector-isovector $\rho$ potentials in the isospin asymmetry of nuclear pseudospin
• Nuclear Wave Functions for Spin and Pseudospin Partners
• Selection rules in the double beta decay of deformed nuclei
• Scattering and bound states of fermions in a mixed vector-scalar smooth step potential
• Stationary states of fermions in a sign potential with a mixed vector-scalar coupling
• Solution of the spin and pseudo-spin symmetric Dirac equation in 1+1 space-time using the tridiagonal representation approach
• New insight on pseudospin doublets in nuclei
• Deformed Pseudospin Doublets as a Fingerprint of a Relativistic Supersymmetry in Nuclei
• Pseudospin Dynamical Symetry in Nuclei
• Full transmission within a wide energy range and super-criticality in relativistic barrier scattering
• Fermions embedded in a scalar-vector kink-like smooth potential
• Relativistic Pseudospin Symmetry and the Structure of Nuclear States
• Relativistic Pseudospin Symmetry in Nuclei
• On the Klein's paradox in the presence of a scalar potential