Abstract
In this article, Yukawa interaction is used to study the relativistic spin-1/2 particles and obtain their energy levels. The role of Yukawa potential on the spin and pseudospin symmetry solution is investigated systematically by solving the Dirac equation with attractive scalar S(r) and repulsive vector V(r) potentials. Bound state spectrum and wave functions of Yukawa potential are obtained. It is found that the energy eigenvalues strongly depend on the potential parameters.
Highlights
The nature of interactions between nucleons is one of the fundamental and essential concepts of nuclear physics
It is required to clarify the nuclear structure of nucleus which comprises of relativistic spin-1/2 particles
Solution of Dirac equation with standard Yukawa potential is presented by using the Nikiforov-Uvarov (NU) method and the eigen functions related to these cases of Dirac equation are obtained
Summary
The nature of interactions between nucleons is one of the fundamental and essential concepts of nuclear physics. Some authors assumed that the scalar potential is equal to the vector potential and obtained the exact solution of Dirac equation with some typical simple potentials by using different methods. There has been much interest in solutions of Dirac equation for spin-1/2 particles with high energies [22]. Thespin and pseudospin symmetry [23] [24] has been originally observed almost about 40 years ago as a mechanism to explain different aspects of the nuclear structure with relativistic spin-1/2 particles. We have obtained the energy equation of relativistic spin-1/2 particles with the consideration of spin symmetry and pseudospin symmetry case. Solution of Dirac equation with standard Yukawa potential is presented by using the Nikiforov-Uvarov (NU) method and the eigen functions related to these cases of Dirac equation are obtained. F= nr ,k (0) G= nr ,k (0) 0 and Fnr ,k (= ∞) Gnr ,k (= ∞) 0
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