scholarly journals Analytical bound state solutions of the Dirac equation with the Hulthén plus a class of Yukawa potential including a Coulomb-like tensor interaction

2021 ◽  
Vol 136 (2) ◽  
Author(s):  
A. I. Ahmadov ◽  
M. Demirci ◽  
M. F. Mustamin ◽  
S. M. Aslanova ◽  
M. Sh. Orujova
Keyword(s):  
Dirac Equation ◽  
Yukawa Potential ◽  
Bound State ◽  
Tensor Interaction

scholarly journals Relativistic symmetries of Schioberg and general Manning-Rosen potentials and the effects of tensor coupling

2013 ◽  
Vol 37 (1) ◽  
pp. 1-17
Author(s):  
A. N. Ikot ◽  
E. Maghsoodi ◽  
C. N. Isonguyo ◽  
S. Zarrinkamar ◽  
H. Hassanabadi
Keyword(s):  
Dirac Equation ◽  
Potential Energy ◽  
Closed Form ◽  
Bound State ◽  
Tensor Interaction ◽  
Numerical Results ◽  
Wave Functions ◽  
Tensor Coupling ◽  
Energy Equations ◽  
Rosen Potential

Abstract In this paper we solve the Dirac equation with Schioberg and general Manning- Rosen potentials including the Coulomb-like tensor interaction. The approximate analytical bound state solutions of the Dirac equation with the Schioberg and Manning-Rosen potential, energy equations and the corresponding unnormalized wave functions are obtained in a closed form using SUSYQM. We have also reported the numerical results to show the effect of the 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.

Relativistic symmetries of fermions in the background of the inversely quadratic Yukawa potential with Yukawa potential as a tensor

2014 ◽  
Vol 92 (1) ◽  
pp. 51-58
Author(s):  
Majid Hamzavi ◽  
Sameer M. Ikhdair
Keyword(s):  
Yukawa Potential ◽  
Bound State ◽  
Arbitrary Spin ◽  
Tensor Interaction ◽  
Wave Functions ◽  
Energy Eigenvalues ◽  
Yukawa Tensor Interaction ◽  
Uvarov Method ◽  
Spinor Wave ◽  
Component Spinor

In the presence of spin and pseudo-spin symmetries, we obtain approximate analytical bound state solutions to the Dirac equation with scalar–vector inverse quadratic Yukawa potential including a Yukawa tensor interaction for any arbitrary spin–orbit quantum number, κ. The energy eigenvalues and their corresponding two-component spinor wave functions are obtained in closed form using the parametric Nikiforov–Uvarov method. It is noticed that the tensor interaction removes the degeneracy in the spin and p-spin doublets. Some numerical results are obtained for the lowest energy states within spin and pseudo-spin symmetries.

scholarly journals Scattering and Bound State Solutions of the Yukawa Potential within the Dirac Equation

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
F. Pakdel ◽  
A. A. Rajabi ◽  
M. Hamzavi
Keyword(s):  
Dirac Equation ◽  
Yukawa Potential ◽  
Spin Symmetry ◽  
Bound State ◽  
Scattering States ◽  
Approximate Analytical Solutions ◽  
Scattering Phase ◽  
Yukawa Potentials ◽  
Scattering Phase Shifts ◽  
Equal Scalar

In the presence of spin symmetry case, we obtain bound and scattering states solutions of the Dirac equation for the equal scalar and vector Yukawa potentials for any spin-orbit quantum numberκ. The approximate analytical solutions are presented for the bound and scattering states and scattering phase shifts.

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