Approximate eigensolutions of Dirac equation for the superposition Hellmann potential under spin and pseudospin symmetries

作者：Hamzavi M^*; Ikhdair S M

来源：Pramana - Journal of Physics, 2014, 83(1): 49-61.

DOI：10.1007/s12043-014-0764-z

• Dirac equation
• Hellmann potential
• spin and p-spin symmetry
• Nikiforov-Uvarov method

The Hellmann potential is simply a superposition of an attractive Coulomb potential -a/r plus a Yukawa potential be(-delta r) /r. The generalized parametric Nikiforov-Uvarov (NU) method is used to examine the approximate analytical energy eigenvalues and two-component wave function of the Dirac equation with the Hellmann potential for arbitrary spin-orbit quantum number kappa in the presence of exact spin and pseudospin (p-spin) symmetries. As a particular case, we obtain the energy eigenvalues of the pure Coulomb potential in the non-relativistic limit.

• 出版日期2014-7