Pseudospin and spin symmetry of Dirac equation under Deng–Fan potential and Yukawa potential as a tensor interaction

2013 ◽  
Vol 88 (4) ◽  
pp. 405-411 ◽  
Author(s):  
H Hassanabadi ◽  
B H Yazarloo ◽  
N Salehi
Keyword(s):  
Dirac Equation ◽  
Yukawa Potential ◽  
Spin Symmetry ◽  
Tensor Interaction

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 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.

scholarly journals Investigations on the Relativistic Interactions in One-Electron Atoms with Modified Yukawa Potential for Spin 1/2 Particles

2017 ◽  
Vol 11 ◽  
pp. 29-44 ◽  
Author(s):  
Abdelmadjid Maireche
Keyword(s):  
Dirac Equation ◽  
Yukawa Potential ◽  
Relativistic Quantum ◽  
Star Product ◽  
Pseudospin Symmetry ◽  
Spin Symmetry ◽  
Real Space ◽  
Relativistic Quantum Mechanics ◽  
Noncommutative Space ◽  
Shift Method

Energy levels of one electron atoms have been re-examined by applying an alternative perturbative scheme in solving the modified Dirac equation (m.d.e.) for the modified Yukawa potential model with a arbitrary spin-orbit quantum number (see equation in the paper) by means Bopp’s shift method instead to solving (m.d.e.) with star product, in the framework of noncommutativity three dimensional real space (NC: 3D-RS). It is observed that the obtained corrections of energies are depended on the new discrete atomic quantum numbers (see equation in the paper) under spin-symmetry and pseudospin symmetry and two infinitesimal parameters (see equation in the paper) which induced by position-position noncommutativity. Furthermore, in limit of parameters (see equation in the paper), the new energy equations for modified Yukawa potential are consistent with the results of ordinary relativistic quantum mechanics for ordinary Yukawa potential. Keywords: Yukawa potential, noncommutative space, star product, Bopp’s shift method and Dirac equation.

scholarly journals Approximate κ-state solutions to the Dirac-Yukawa problem based on the spin and pseudospin symmetry

Open Physics ◽  
2012 ◽  
Vol 10 (2) ◽  
Author(s):  
Sameer Ikhdair
Keyword(s):  
Energy Spectrum ◽  
Dirac Equation ◽  
Yukawa Potential ◽  
Energy Levels ◽  
Pseudospin Symmetry ◽  
Spin Symmetry ◽  
Relativistic Limit ◽  
Special Cases ◽  
Wide Range ◽  
Screening Parameter

AbstractUsing an approximation scheme to deal with the centrifugal (pseudo-centrifugal) term, we solve the Dirac equation with the screened Coulomb (Yukawa) potential for any arbitrary spin-orbit quantum number κ. Based on the spin and pseudospin symmetry, analytic bound state energy spectrum formulas and their corresponding upper- and lower-spinor components of two Dirac particles are obtained using a shortcut of the Nikiforov-Uvarov method. We find a wide range of permissible values for the spin symmetry constant C s from the valence energy spectrum of particle and also for pseudospin symmetry constant C ps from the hole energy spectrum of antiparticle. Further, we show that the present potential interaction becomes less (more) attractive for a long (short) range screening parameter α. To remove the degeneracies in energy levels we consider the spin and pseudospin solution of Dirac equation for Yukawa potential plus a centrifugal-like term. A few special cases such as the exact spin (pseudospin) symmetry Dirac-Yukawa, the Yukawa plus centrifugal-like potentials, the limit when α becomes zero (Coulomb potential field) and the non-relativistic limit of our solution are studied. The nonrelativistic solutions are compared with those obtained by other methods.

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