Test of Pseudospin Symmetry in Deformed Nuclei

Abstract

Pseudospin symmetry is a relativistic symmetry of the Dirac Hamiltonian with scalar and vector mean fields equal and opposite in sign. This symmetry imposes constraints on the Dirac eigenfunctions. We examine extensively the Dirac eigenfunctions of realistic relativistic mean field calculations of deformed nuclei to determine if these eigenfunctions satisfy these pseudospin symmetry constraints.

arXiv comment14 pages, 9 EPS figure, submitted to Phys. Rev. C; v3: 3-D figures changed to 2-D ones

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Cited by in corpus (25)

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• Relativistic Killingbeck Energy States Under an External Magnetic Fields
• Symmetries and Supersymmetries of the Dirac Hamiltonian with Axially-Deformed Scalar and Vector Potentials
• Pseudospin, supersymmetry and the shell structure of atomic nuclei
• Relativistic new Yukawa-like potential and tensor coupling
• Relativistic interpretation on the nature of nuclear tensor force
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• Approximate relativistic bound state solutions of the Tietz-Hua rotating oscillator for any -state
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• Approximate -state Solutions to the Dirac Mobius Square-Yukawa and Mobius Square-quasi Yukawa Problems under Pseudospin and Spin Symmetry limits with Coulomb-like Tensor Interaction
• Approximate analytical solutions of Dirac Equation with spin and pseudo spin symmetries for the diatomic molecular potentials plus a tensor term with any angular momentum
• Energy spectrum of massive Dirac particles in gapped graphene with Morse potential
• Relativistic study of the energy-dependent Coulomb potential including Coulomb-like tensor interaction
• Restoration of pseudo-spin symmetry in $N=32$ and $34$ isotones described by relativistic Hartree-Fock theory
• Probing spin and pseudospin symmetries in deformed nuclei by the Green's function method
• Pseudospin symmetry in nuclear structure and its supersymmetric representation
• Recent progresses on the pseudospin symmetry in single particle resonant states
• Deformed Pseudospin Doublets as a Fingerprint of a Relativistic Supersymmetry in Nuclei
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