scholarly journals Effect of tensor interaction in the Dirac-attractive radial problem under pseudospin symmetry limit

2012 ◽  
Vol 53 (8) ◽  
pp. 082101 ◽  
Author(s):  
M. Hamzavi ◽  
M. Eshghi ◽  
S. M. Ikhdair
Keyword(s):  
Pseudospin Symmetry ◽  
Tensor Interaction ◽  
Symmetry Limit

Pseudospin symmetry of the Dirac equation for a Möbius square plus Mie type potential with a Coulomb-like tensor interaction via SUSYQM

2014 ◽  
Vol 38 (1) ◽  
pp. 013101 ◽  
Author(s):  
Akpan N. Ikot ◽  
S. Zarrinkamar ◽  
Eno J. Ibanga ◽  
E. Maghsoodi ◽  
H. Hassanabadi
Keyword(s):  
Dirac Equation ◽  
Pseudospin Symmetry ◽  
Tensor Interaction ◽  
Type Potential

Dirac equation with CPRS potential and Cornell tensor interaction in the presence of spin and pseudospin symmetry

2020 ◽  
Vol 29 (08) ◽  
pp. 2050064
Author(s):  
Parisa Sedaghatnia ◽  
Hassan Hassanabadi ◽  
Marc de Montigny
Keyword(s):  
Dirac Equation ◽  
Nuclear Physics ◽  
Energy Levels ◽  
Pseudospin Symmetry ◽  
Tensor Interaction ◽  
Wave Functions ◽  
Nuclear Spectroscopy ◽  
Exactly Solvable

Motivated by the prominent role of tensor interactions in nuclear spectroscopy and many applications of spin and pseudospin symmetry in hadronic and nuclear physics, we solve the Dirac equation with a CPRS potential and a Cornell tensor interaction, in the spin and pseudospin symmetry limits, by using the quasi-exactly solvable method. We obtain explicitly the wave functions for the two lowest energy levels, both for spin and pseudospin symmetry. We also discuss the degeneracy of the system.

EXACTLY COMPLETE SOLUTIONS OF THE DIRAC EQUATION WITH PSEUDOHARMONIC POTENTIAL INCLUDING LINEAR PLUS COULOMB-LIKE TENSOR POTENTIAL

2011 ◽  
Vol 26 (07n08) ◽  
pp. 1363-1374 ◽  
Author(s):  
M. HAMZAVI ◽  
A. A. RAJABI ◽  
H. HASSANABADI
Keyword(s):  
Dirac Equation ◽  
Pseudospin Symmetry ◽  
Arbitrary Spin ◽  
Tensor Interaction ◽  
Spin Orbit Coupling ◽  
Energy Eigenvalues ◽  
Pseudoharmonic Potential ◽  
Tensor Potential ◽  
Uvarov Method ◽  
Coupling Number

In this paper, we present exact solutions of the Dirac equation with the pseudoharmonic potential including linear as well as Coulomb-like tensor potential with arbitrary spin–orbit coupling number κ under spin and pseudospin symmetry limits. The Nikiforov–Uvarov method is used to obtain energy eigenvalues and corresponding eigenfunctions in closed forms. We show that tensor interaction removes degeneracies between spin and pseudospin doublets. Some numerical results are also given.

Solutions of the Dirac equation with an improved expression of the Rosen–Morse potential energy model including Coulomb-like tensor interaction

2013 ◽  
Vol 91 (9) ◽  
pp. 689-695 ◽  
Author(s):  
Ekele V. Aguda
Keyword(s):  
Dirac Equation ◽  
Potential Energy ◽  
Analytical Solutions ◽  
Morse Potential ◽  
Analytical Approach ◽  
Pseudospin Symmetry ◽  
Tensor Interaction ◽  
Energy Model ◽  
Approximate Analytical Solutions ◽  
Uvarov Method

In this study, we obtain the approximate analytical solutions of the Dirac equation for an improved expression of the Rosen–Morse potential energy model including the Coulomb-like tensor under the condition of spin and pseudospin symmetry. The analytical approach of parametric generalization of the Nikiforov–Uvarov method has been applied to the problem and the problem is discussed in a quite detailed manner.

scholarly journals Approximate κ-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

2013 ◽  
Vol 91 (7) ◽  
pp. 560-575 ◽  
Author(s):  
Akpan N. Ikot ◽  
E. Maghsoodi ◽  
Akaninyene D. Antia ◽  
S. Zarrinkamar ◽  
H. Hassanabadi
Keyword(s):  
Spin Symmetry ◽  
Arbitrary Spin ◽  
Tensor Interaction ◽  
Wave Functions ◽  
Symmetry Limit ◽  
Energy Eigenvalues ◽  
Interaction Term ◽  
Yukawa Potentials ◽  
Spin Symmetry Limit ◽  
Coulomb Potentials

In this paper, we present the Dirac equation for the Mobius square – Yukawa potentials including the tensor interaction term within the framework of pseudospin and spin symmetry limit with arbitrary spin–orbit quantum number, κ. We obtain the energy eigenvalues and the corresponding wave functions using the supersymmetry method. The limiting cases of the problem, which reduce to the Deng-Fan, Yukawa, and Coulomb potentials, are discussed.

Perturbative pseudospin symmetry limit with linear spin-orbit potential

2011 ◽  
Vol 35 (9) ◽  
pp. 825-828 ◽  
Author(s):  
Fang-Qiong Li ◽  
Peng-Wei Zhao ◽  
Hao-Zhao Liang
Keyword(s):  
Pseudospin Symmetry ◽  
Spin Orbit ◽  
Symmetry Limit ◽  
Orbit Potential

scholarly journals The Effect of Tensor Interaction in Splitting the Energy Levels of Relativistic Systems

2016 ◽  
Vol 2016 ◽  
pp. 1-12 ◽  
Author(s):  
Mohammad Reza Shojaei ◽  
Mohsen Mousavi
Keyword(s):  
Dirac Equation ◽  
Present Model ◽  
Energy Levels ◽  
Pseudospin Symmetry ◽  
Spin Symmetry ◽  
Tensor Interaction ◽  
Wave Functions ◽  
Energy Eigenvalues ◽  
Formula Method ◽  
Dirac Spinors

We solve approximately Dirac equation for Eckart plus Hulthen potentials with Coulomb-like and Yukawa-like tensor interaction in the presence of spin and pseudospin symmetry fork≠0. The formula method is used to obtain the energy eigenvalues and wave functions. We also discuss the energy eigenvalues and the Dirac spinors for Eckart plus Hulthen potentials with formula method. To show the accuracy of the present model, some numerical results are shown in both pseudospin and spin symmetry limits.

Sign in / Sign up

Export Citation Format

Share Document