Approximate spin and pseudospin solutions to the Dirac equation for the inversely quadratic Yukawa potential and tensor interaction

2012 ◽  
Vol 85 (4) ◽  
pp. 045009 ◽  
Author(s):  
M Hamzavi ◽  
S M Ikhdair ◽  
B I Ita
Keyword(s):  
Dirac Equation ◽  
Yukawa Potential ◽  
Tensor Interaction

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.

Spin and pseudospin symmetries of the Dirac equation for the generalised Morse potential and a class of Yukawa potential

Pramana ◽  
2021 ◽  
Vol 95 (3) ◽  
Author(s):  
Obu J Abebe ◽  
Okoi P Obeten ◽  
Uduakobong S Okorie ◽  
Akpan N Ikot
Keyword(s):  
Dirac Equation ◽  
Morse Potential ◽  
Yukawa Potential

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.

Dirac equation with multiparameter-potential and Hulthén tensor interaction under relativistic symmetries

Open Physics ◽  
2014 ◽  
Vol 12 (12) ◽  
Author(s):  
Sami Ortakaya
Keyword(s):  
Dirac Equation ◽  
Spin Symmetry ◽  
Tensor Interaction ◽  
Numerical Results ◽  
Exponential Potential ◽  
Energy Eigenvalues ◽  
Nu Method

AbstractThe pseudospin and spin symmetric solutions of the Dirac equation with Hulthén-type tensor interaction are obtained under multi-parameter-exponential potential (MEP) for arbitrary κ states. The energy eigenvalues and the corresponding eigenfunctions are also obtained using the parametric Nikiforov-Uvarov (NU) method. Some numerical results are also obtained for pseudospin and spin symmetry limits.

scholarly journals Exact Solutions of a Spatially Dependent Mass Dirac Equation for Coulomb Field plus Tensor Interaction via Laplace Transformation Method

2012 ◽  
Vol 2012 ◽  
pp. 1-15 ◽  
Author(s):  
M. Eshghi ◽  
M. Hamzavi ◽  
S. M. Ikhdair
Keyword(s):  
Dirac Equation ◽  
Laplace Transformation ◽  
Bound States ◽  
Energy Eigenvalue ◽  
Coulomb Field ◽  
Transformation Method ◽  
Arbitrary Spin ◽  
Tensor Interaction ◽  
Dependent Mass ◽  
Laplace Transformation Method

The spatially dependent mass Dirac equation is solved exactly for attractive scalar and repulsive vector Coulomb potentials including a tensor interaction potential under the spin and pseudospin (p-spin) symmetric limits by using the Laplace transformation method (LTM). Closed forms of the energy eigenvalue equation and wave functions are obtained for arbitrary spin-orbit quantum number κ. Some numerical results are given too. The effect of the tensor interaction on the bound states is presented. It is shown that the tensor interaction removes the degeneracy between two states in the spin doublets. We also investigate the effects of the spatially-dependent mass on the bound states under the conditions of the spin symmetric limit and in the absence of tensor interaction (T=0).

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