Tensor coupling and pseudospin symmetry in nuclei

Abstract

In this work we study the contribution of the isoscalar tensor coupling to the realization of pseudospin symmetry in nuclei. Using realistic values for the tensor coupling strength, we show that this coupling reduces noticeably the pseudospin splittings, especially for single-particle levels near the Fermi surface. By using an energy decomposition of the pseudospin energy splittings, we show that the changes in these splittings come by mainly through the changes induced in the lower radial wave function for the low-lying pseudospin partners, and by changes in the expectation value of the pseudospin-orbit coupling term for surface partners. This allows us to confirm the conclusion already reached in previous studies, namely that the pseudospin symmetry in nuclei is of a dynamical nature.

11 pages, 5 figures, uses REVTeX macros

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• Pseudospin symmetry in single particle resonances in spherical square wells
• Pseudospin symmetry in supersymmetric quantum mechanics: Schrödinger equations
• Effect of Tensor Interaction in the Dirac-Attractive Radial Problem under Pseudospin Symmetry limit
• Relating pseudospin and spin symmetries through chiral transformation with tensor interaction
• Pseudospin, supersymmetry and the shell structure of atomic nuclei
• Relativistic new Yukawa-like potential and tensor coupling
• Exact solutions of a spatially-dependent mass Dirac equation for Coulomb field plus tensor interaction via Laplace transformation method
• Dirac bound states of anharmonic oscillator in external fields
• The effect of tensor interaction in splitting the energy levels of relativistic systems
• 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
• 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
• Relativistic study of the energy-dependent Coulomb potential including Coulomb-like tensor interaction
• Pseudospin and spin symmetry in the relativistic generalized Woods-Saxon potential including Coulomb-like tensor potential
• Pseudospin symmetry in nuclear structure and its supersymmetric representation
• A new approach to the relativistic treatment of the fermion-boson system, based on the extension of the SL(2,C) group
• Unsuitable use of spin and pseudospin symmetries with a pseudoscalar Cornell potential
• Fermions embedded in a scalar-vector kink-like smooth potential
• Zero energy modes with Gaussian, exponential, or polynomial decay: Exact solutions in hermitian and nonhermitian regimes