Dirac equation for generalized Pöschl-Teller scalar and vector potentials and a Coulomb tensor interaction by Nikiforov-Uvarov method

2012 ◽  
Vol 53 (2) ◽  
pp. 022104 ◽  
Author(s):  
H. Hassanabadi ◽  
E. Maghsoodi ◽  
S. Zarrinkamar ◽  
H. Rahimov
Keyword(s):  
Dirac Equation ◽  
Tensor Interaction ◽  
Vector Potentials ◽  
Uvarov Method

scholarly journals Eigen Spectra for q-Deformed Hyperbolic Scarf Potential Including a Coulomb-like Tensor Interaction

2011 ◽  
Vol 3 (2) ◽  
pp. 239-247 ◽  
Author(s):  
M. Eshghi ◽  
H. Mehraban
Keyword(s):  
Dirac Equation ◽  
Spin Symmetry ◽  
Tensor Interaction ◽  
Tensor Coupling ◽  
Energy Eigenvalues ◽  
Scarf Potential ◽  
Tensor Potential ◽  
Uvarov Method

We study the Dirac equation for the q-deformed hyperbolic Scarf potential including a coulomb-like tensor potential under the spin symmetry. The parametric generalization of the Nikiforov-Uvarov method is used to obtain the energy eigenvalues equation and the unnormalized wave functins.Keywords: Dirac equation; q-deformed hyperbolic Scarf; Spin symmetry; Tensor coupling.© 2011 JSR Publications. ISSN: 2070-0237 (Print); 2070-0245 (Online). All rights reserved.doi:10.3329/jsr.v3i2.7295                 J. Sci. Res. 3 (2), 239-247 (2011)

scholarly journals Exact Solution of the Dirac Equation for the Yukawa Potential with Scalar and Vector Potentials and Tensor Interaction

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Mona Azizi ◽  
Nasrin Salehi ◽  
Ali Akbar Rajabi
Keyword(s):  
Dirac Equation ◽  
Yukawa Potential ◽  
Energy Eigenvalue ◽  
Tensor Interaction ◽  
Great Powers ◽  
Nuclear Potential ◽  
Relativistic Energy ◽  
Ansatz Method ◽  
Vector Potentials ◽  
Tensor Potential

We present exact solutions of the Dirac equation with Yukawa potential in the presence of a Coulomb-like tensor potential. For this goal we expand the Yukawa form of the nuclear potential in its mesonic clouds by using Taylor extension to the power of seventh and bring out its simple form. In order to obtain the energy eigenvalue and the corresponding wave functions in closed forms for this potential (with great powers and inverse exponent), we use ansatz method. We also regard the effects of spin-spin, spin-isospin, and isospin-isospin interactions on the relativistic energy spectra of nucleon. By using the obtained results, we have calculated the deuteron mass. The results of our model show that the deuteron spectrum is very close to the ones obtained in experiments.

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.

AN APPROXIMATE SOLUTION OF THE DIRAC EQUATION FOR HYPERBOLIC SCALAR AND VECTOR POTENTIALS AND A COULOMB TENSOR INTERACTION BY SUSYQM

2011 ◽  
Vol 26 (36) ◽  
pp. 2703-2718 ◽  
Author(s):  
H. HASSANABADI ◽  
E. MAGHSOODI ◽  
S. ZARRINKAMAR ◽  
H. RAHIMOV
Keyword(s):  
Approximate Solution ◽  
Dirac Equation ◽  
Significant Role ◽  
Tensor Interaction ◽  
Nuclear Spectroscopy ◽  
Quantum Mechanical ◽  
Vector Potentials ◽  
Analytical Scheme ◽  
Hyperbolic Form

Based on the significant role of spin and pseudospin symmetries in hadron and nuclear spectroscopy, we have investigated Dirac equation under scalar and vector potentials of cotangent hyperbolic form besides a Coulomb tensor interaction via an approximate analytical scheme. The considered potential for small potential parameter resembles the well-established Kratzer potential. In addition, we see how the tensor term removes the degeneracy of doublets. After an acceptable approximation, namely a Pekeris-type one, we see that the problem is simply solved via the quantum mechanical idea of supersymmetry without having to deal with the cumbersome, complicated and time-consuming numerical programming.

BOUND STATE SOLUTIONS OF THE DIRAC EQUATION FOR THE SCARF-TYPE POTENTIAL USING NIKIFOROV–UVAROV METHOD

2009 ◽  
Vol 24 (15) ◽  
pp. 1227-1236 ◽  
Author(s):  
HOSSEIN MOTAVALI
Keyword(s):  
Dirac Equation ◽  
Bound State ◽  
S Wave ◽  
Spinor Wave Function ◽  
Vector Potentials ◽  
Special Cases ◽  
The One ◽  
Uvarov Method ◽  
Equal Scalar ◽  
Type Potential

In this paper we present the analytical solutions of the one-dimensional Dirac equation for the Scarf-type potential with equal scalar and vector potentials. Using Nikiforov–Uvarov mathematical method, spinor wave function and the corresponding exact energy equation are obtained for the s-wave bound state. It has been shown that the results for this potential reduce to the well-known potentials in the special cases.

scholarly journals SOLUTIONS OF THE DIRAC EQUATION WITH THE SHIFTED DENG–FAN POTENTIAL INCLUDING YUKAWA-LIKE TENSOR INTERACTION

2013 ◽  
Vol 22 (08) ◽  
pp. 1350062 ◽  
Author(s):  
W. A. YAHYA ◽  
B. J. FALAYE ◽  
O. J. OLUWADARE ◽  
K. J. OYEWUMI
Keyword(s):  
Dirac Equation ◽  
Analytical Solutions ◽  
Approximation Scheme ◽  
Pseudospin Symmetry ◽  
Tensor Interaction ◽  
Numerical Results ◽  
Energy Eigenvalues ◽  
Approximate Analytical Solutions ◽  
Uvarov Method

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.

scholarly journals Solutions to the Dirac Equation for Manning-Rosen Plus Shifted Deng-Fan Potential and Coulomb-Like Tensor Interaction Using Nikiforov-Uvarov Method

2018 ◽  
Vol 10 (3) ◽  
pp. 99 ◽  
Author(s):  
Hitler Louis ◽  
Ita B. Iserom ◽  
Magu T. Odey ◽  
Akakuru U. Ozioma ◽  
Nzeata-Ibe Nelson ◽  
...  
Keyword(s):  
Dirac Equation ◽  
Energy Eigenvalue ◽  
Arbitrary Spin ◽  
Tensor Interaction ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Special Cases ◽  
Tensor Potential ◽  
Eigen Values ◽  
Uvarov Method

We solve the Dirac equation for the Manning-Rosen plus shifted Deng-Fan potential including a Coulomb-like tensor potential with arbitrary spin–orbit coupling quantum number κ. In the framework of the spin and pseudospin (pspin) symmetry, we obtain the energy eigenvalue equation and the corresponding eigenfunctions in closed form by using the Nikiforov–Uvarov method. Also Special cases of the potential as been considered and their energy eigen values as well as their corresponding eigen functions are obtained for both relativistic and non-relativistic scope.

scholarly journals Dirac Equation under Scalar and Vector Generalized Isotonic Oscillators and Cornell Tensor Interaction

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
H. Hassanabadi ◽  
E. Maghsoodi ◽  
Akpan N. Ikot ◽  
S. Zarrinkamar
Keyword(s):  
Dirac Equation ◽  
Quantum Number ◽  
Tensor Interaction ◽  
Cornell Potential ◽  
Ansatz Approach ◽  
Potential Parameters ◽  
Arbitrary Quantum

Spin and pseudospin symmetries of Dirac equation are solved under scalar and vector generalized isotonic oscillators and Cornell potential as a tensor interaction for arbitrary quantum number via the analytical ansatz approach. The spectrum of the system is numerically reported for typical values of the potential parameters.

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