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Relativistic symmetries in the Rosen-Morse potential and tensor interaction using the Nikiforov-Uvarov method

Relativistic symmetries in the Rosen-Morse potential and tensor interaction using the Nikiforov-Uvarov method
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摘要 Approximate analytical bound-state solutions of the Dirac particle in the fields of attractive and repulsive Rosen–Morse (RM) potentials including the Coulomb-like tensor (CLT) potential are obtained for arbitrary spin–orbit quantum number κ. The Pekeris approximation is used to deal with the spin–orbit coupling terms κ(κ ± 1)r 2 . In the presence of exact spin and pseudospin (p-spin) symmetries, the energy eigenvalues and the corresponding normalized two-component wave functions are found by using the parametric generalization of the Nikiforov–Uvarov (NU) method. The numerical results show that the CLT interaction removes degeneracies between the spin and p-spin state doublets. Approximate analytical bound-state solutions of the Dirac particle in the fields of attractive and repulsive Rosen–Morse (RM) potentials including the Coulomb-like tensor (CLT) potential are obtained for arbitrary spin–orbit quantum number κ. The Pekeris approximation is used to deal with the spin–orbit coupling terms κ(κ ± 1)r 2 . In the presence of exact spin and pseudospin (p-spin) symmetries, the energy eigenvalues and the corresponding normalized two-component wave functions are found by using the parametric generalization of the Nikiforov–Uvarov (NU) method. The numerical results show that the CLT interaction removes degeneracies between the spin and p-spin state doublets.
出处 《Chinese Physics B》 SCIE EI CAS CSCD 2013年第4期87-93,共7页 中国物理B(英文版)
基金 Project partially supported by the Scientific and Technological Research Council of Turkey (Grant No. TBíTAK)
关键词 Dirac equation RM potential CLT potential spin and p-spin symmetries NU method approximation schemes Dirac equation RM potential CLT potential spin and p-spin symmetries NU method approximation schemes
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