Relativistic Energies and Scattering Phase Shifts for the Fermionic Particles Scattered by Hyperbolical potential with the Pseudo (Spin) Symmetry

Abstract

In this paper, we studied the approximate scattering state solutions of the Dirac equation with the hyperbolical potential with pseudospin and spin symmetries. Using a suitable short range approximation within the formalism of functional analytical method, we obtained the spin-orbit quantum numbers dependent scattering phase shifts for the spin and pseudospin symmetries. The normalization constants, lower and upper radial spinor for the two symmetries and the relativistic energy spectra were presented. Our results reveal that both the symmetry constants (C_ps and C_s) and the spin-orbit quantum number \k{appa} affect scattering phase shifts significantly.

5 tables, 4 figures, 17 pages

References in corpus (3)

• Scattering and Bound State Solutions of Asymmetric Hulthén Potential
• Solutions of the Dirac equation with the shifted Deng-Fan potential including Yukawa-like tensor interaction
• κ state solutions for the fermionic massive spin-1/2 particles interacting with double ring-shaped Kratzer and oscillator potentials