Effect of Tensor Interaction in the Dirac-Attractive Radial Problem under Pseudospin Symmetry limit

Abstract

We approximately investigated pseudospin symmetric solutions of the Dirac equation for attractive radial potential including a Coulomb-like tensor interaction under pseudospin symmetry limit for any spin-orbit quantum number . By using the parametric generalization of the Nikiforov-Uvarov method, the energy eigenvalues equation and the corresponding wave functions have been obtained in closed forms. Some numerical results are also given. We presented tensor interaction removes degeneracy between two states in pseudospin doublets.

13 pages, 2 figures

References in corpus (12)

• Pseudo-spin as a Relativistic Symmetry
• A General Approach for the Exact Solution of the Schrodinger Equation
• Relativistic Symmetry Suppresses Quark Spin-Orbit Splitting
• On the Relativistic Foundations of Pseudospin Symmetry in Nuclei
• A Relativistic Symmetry in Nuclei
• Generalized Pseudo-SU(3) Model and Pairing
• The Nuclear Spin-Orbit Force in Chiral Effective Field Theories
• Tensor coupling and pseudospin symmetry in nuclei
• Energy spectrum of the relativistic Dirac-Morse problem
• Effect of tensor couplings in a relativistic Hartree approach for finite nuclei
• An approximate κ state solutions of the Dirac equation for the generalized Morse potential under spin and pseudospin symmetry
• Dirac Equation with Spin Symmetry for the Modified Pöschl-Teller Potential in $D$-dimensions

Cited by in corpus (8)

• Bound states of spatially dependent mass Dirac equation with the Eckart potential including Coulomb tensor interaction
• First experimental realization of the Dirac oscillator
• Exact solutions of a spatially-dependent mass Dirac equation for Coulomb field plus tensor interaction via Laplace transformation method
• The Relativistic Bound States of a Non Central Potential
• Approximate Dirac solutions of complex -symmetric Pöschl-Teller potential in view of spin and pseudospin symmetries
• Scattering and bound states of fermions in a mixed vector-scalar smooth step potential
• Kappa-deformed Dirac oscillator in an external magnetic field
• Unsuitable use of spin and pseudospin symmetries with a pseudoscalar Cornell potential