Tensor coupling and relativistic spin and pseudospin symmetries of the Pöschl–Teller-like potential

الموضوعات : Journal of Theoretical and Applied Physics

H. Tokmehdashi ¹ , A. A. Rajabi ² , M. Hamzavi ³

1 - Department of Physics, Shahrood University of Technology
2 - Department of Physics, Shahrood University of Technology
3 - Department of Physics, University of Zanjan

تاريخ التأكيد : 10 الأحد , جمادى الأولى, 1436 تاريخ الإصدار : 10 الأحد , جمادى الأولى, 1436

الکلمات المفتاحية: Dirac equation, Spin symmetry, Pseudospin symmetry, Pöschl–Teller, like potential, Coulomb, like tensor potential, Supersymmetric quantum mechani,

ملخص المقالة :

AbstractIn this research, we have been obtained the Dirac equation for second Pöschl–Teller-like potential including a Coulomb-like tensor interaction with arbitrary spin–orbit coupling quantum number κ. Under the condition of spin and pseudospin (p-spin) symmetries, we use the basic concept of the supersymmetric shape invariance formulism in quantum mechanics and the function analysis method to obtain energy eigenvalues and corresponding two-component spinors of the Dirac particle. We have also shown that tensor interaction removes degeneracies between spin and p-spin doublets. Some numerical results are also given.