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arxiv: 1210.1406 · v1 · pith:UQI6LW3Onew · submitted 2012-10-04 · ⚛️ nucl-th · math-ph· math.MP

Relativistic new Yukawa-like potential and tensor coupling

classification ⚛️ nucl-th math-phmath.MP
keywords spintensoryukawacoulomb-likecouplingdiracequationinteraction
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We approximately solve the Dirac equation for a new suggested generalized inversely quadratic Yukawa (GIQY) potential including a Coulomb-like tensor interaction with arbitrary spin-orbit coupling quantum number In the framework of the spin and pseudospin (p-spin) symmetry, we obtain the energy eigenvalue equation and the corresponding eigenfunctions, in closed form, by using the parametric Nikiforov-Uvarov (NU) method. The numerical results show that the Coulomb-like tensor interaction, removes degeneracies between spin and p-spin state doublets. The Dirac solutions in the presence of exact spin symmetry are reduced to Schr\"odinger solutions for Yukawa and inversely quadratic Yukawa potentials.

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