Approximate bound state solutions of Dirac equation with Hulthén potential including Coulomb-like tensor potential

Details Approximate bound state solutions of Dirac equation with Hulthén potential including Coulomb-like tensor potential Approximate bound state solutions of Dirac equation with Hulthén potential including Coulomb-like tensor potential

2010-01-25

arxiv.org/abs/1001.4327v2

Appl. Math. Com. 216, 911(2010)

Physics

Mathematical Physics

28 pages

Scientific paper

We solve the Dirac equation approximately for the attractive scalar $S(r)$ and repulsive vector $V(r)$ Hulth\'{e}n potentials including a Coulomb-like tensor potential with arbitrary spin-orbit coupling quantum number $\kappa .$ In the framework of the spin and pseudospin symmetric concept, we obtain the analytic energy spectrum and the corresponding two-component upper- and lower-spinors of the two Dirac particles by means of the Nikiforov-Uvarov method in closed form. The limit of zero tensor coupling and the non-relativistic solution are obtained. The energy spectrum for various levels is presented for several $\kappa $ values under the condition of exact spin symmetry in the presence or absence of tensor coupling.

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