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

Pramana

S M Ikhdair²  M Hamzavi1¹ 

[1] Department of Science and Engineering, Abhar Branch, Islamic Azad University, Abhar, Iran$$;Department of Physic, Faculty of Science, an-Najah National University, Nablus, West Bank, Palestine$$

关键词: Dirac equation;    Hellmann potential;    spin and p-spin symmetry;    Nikiforov–Uvarov method.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

The Hellmann potential is simply a superposition of an attractive Coulomb potential $−a/r$ plus a Yukawa potential 𝑏e${}^{−δr} /r$. 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 𝜅 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.

【 授权许可】

Unknown