Solutions of the Dirac equation with the shifted Deng-Fan potential including Yukawa-like tensor interaction
arXiv:1402.4470 · doi:10.1142/S0218301313500626
Abstract
By using the Nikiforov-Uvarov method, we give the approximate analytical solutions of the Dirac equation with the shifted Deng-Fan potential including the Yukawa-like tensor interaction under the spin and pseudospin symmetry conditions. After using an improved approximation scheme, we solved the resulting schrödinger-like equation analytically. Numerical results of the energy eigenvalues are also obtained, as expected, the tensor interaction removes degeneracies between spin and pseudospin doublets.
20 pages, 2 tables, 1 figures
References in corpus (23)
- Dirac and Klein-Gordon equations with equal scalar and vector potentials
- The pseudo-spin symmetry in Zr and Sn isotopes from the proton drip line to the neutron drip line
- Spin symmetry in the anti-nucleon spectrum
- Pseudospin symmetry and the relativistic harmonic oscillator
- On the Relativistic Foundations of Pseudospin Symmetry in Nuclei
- Generalized Pseudo-SU(3) Model and Pairing
- Pseudospin symmetry in single particle resonant states
- Relating pseudospin and spin symmetries through charge conjugation and chiral transformations: the case of the relativistic harmonic oscillator
- Nuclear halo structure and pseudo-spin symmetry
- Polynomial Solutions of Shcrodinger Equation with the Generalized Woods Saxon Potential
- U(3) and Pseudo-U(3) Symmetry of the Relativistic Harmonic Oscillator
- 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
- Relativistic Mean Field Approach and the Pseudo-Spin Symmetry
- Bound state solutions of the Dirac-Rosen-Morse potential with spin and pseudospin symmetry
- Equivalence of the empirical shifted Deng-Fan oscillator potential for diatomic molecules
- Approximate solutions of the Dirac equation for the Rosen-Morse potential including the spin-orbit centrifugal term
- Pseudospin symmetry in single particle resonances in spherical square wells
- Perturbative interpretation of relativistic symmetries in nuclei
- Pseudospin symmetry in supersymmetric quantum mechanics: Schrödinger equations
- Bound states of the Klein-Gordon equation for vector and scalar general Hulthen-type potentials in D-dimension
- Tensor coupling effects on spin symmetry in anti-Lambda spectrum of hypernuclei
- Approximate Spin and Pseudospin Solutions of the Dirac equation with Rosen-Morse Potential including a Coulomb Tensor Interaction
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- Relativistic Energies and Scattering Phase Shifts for the Fermionic Particles Scattered by Hyperbolical potential with the Pseudo (Spin) Symmetry
- Reflection and Transmission Coefficients of the symmetric barrier-type shifted Deng-Fan potential
- Scattering states solutions of Klein-Gordon equation with three physically solvable potential models
- The scattering phase shifts of the Hulthén-type potential plus Yukawa potential
- The semi-relativistic scattering states of the two-body spinless Salpeter equation with the Varshni potential model