Abstract
Spin and pseudospin symmetric Dirac spinors and energy relations are obtained by solving the Dirac equation with centrifugal term for a new suggested generalized Manning-Rosen potential which includes the potentials describing the nuclear and molecular structures. To solve the Dirac equation the Nikiforov-Uvarov method is used and also applied the Pekeris approximation to the centrifugal term. Energy eigenvalues for bound states are found numerically in the case of spin and pseudospin symmetry. Besides, the data attained in the present study are compared with the results obtained in the previous studies and it is seen that our data are consistent with the earlier ones.
Highlights
Spin and pseudospin symmetries are symmetries of the Dirac Hamiltonian
Spin symmetry leads to degeneracy between two states with quantum numbers (n, l, j = l − s) and (n, l, j = l + s)
These two states are considered as a spin doublet with (n, l, j = l ∓ s). n, l, j, and s are radial, orbital angular momentum, total angular momentum, and spin quantum numbers, respectively
Summary
Spin and pseudospin symmetries are symmetries of the Dirac Hamiltonian. Spin symmetry leads to degeneracy between two states with quantum numbers (n, l, j = l − s) and (n, l, j = l + s). In [26], Wei and Dong have studied the ManningRosen potential under the spin symmetry limit They have examined pseudospin symmetric solutions and energy eigenvalues for the Manning-Rosen potential [27]. Spin and pseudospin symmetry can be investigated for diatomic molecular potentials by defining the reduced mass μ = m1m2/(m1 + m2), where m1 and m2 are two nuclei masses of a diatomic molecule In this context, it is aimed at investigating spin and pseudospin symmetric solutions for the generalized Manning-Rosen potential and at finding the bound state energy eigenvalues of the considered potential under the spin and pseudospin symmetry limits.
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