Two approximation schemes to the bound states of the Dirac-Hulthen problem


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IKHDAİR S., Sever R.

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, cilt.44, 2011 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 44 Konu: 35
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1088/1751-8113/44/35/355301
  • Dergi Adı: JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

Özet

The bound-state (energy spectrum and two-spinor wavefunctions) solutions of the Dirac equation with the Hulthen potential for all angular momenta based on the spin and pseudospin symmetry are obtained. The parametric generalization of the Nikiforov-Uvarov method is used in the calculations. The orbital dependence (spin-orbit-and pseudospin-orbit-dependent coupling too singular 1/r(2)) of the Dirac equation are included to the solution by introducing a more accurate approximation scheme to deal with the centrifugal (pseudo-centrifugal) term. The approximation is also made for the less singular 1/r orbital term in the Dirac equation for a wider energy spectrum. The nonrelativistic limits are also obtained on mapping of parameters.