Pseudospin symmetry in the relativistic Manning-Rosen potential including a Pekeris-type approximation to the pseudo-centrifugal term

By G. Wei, Shi-Hai Dong. 2010

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Abstract Based on the Sturm–Liouville theorem and shape invariance formalism, we study by applying a Pekeris-type approximation to the pseudo-centrifugal term the pseudospin symmetry of a Dirac nucleon subjected to scalar and vector Manning–Rosen potentials including the spin–orbit coupling term. A quartic energy equation and spinor wave functions with arbitrary spin–orbit coupling quantum number k are presented. The bound states are calculated numerically. The relativistic Manning–Rosen potential could not trap a Dirac nucleon in the limit case β → ∞ .

Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/95389015617ad40d22b2ae87eac01f354e83d606