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Abstract: We consider the Dirac equation in 3+1 dimensions with spherical symmetry andcoupling to 1-r singular vector potential. An approximate analytic solution forall angular momenta is obtained. The approximation is made for the 1-r orbitalterm in the Dirac equation itself not for the traditional and more singular1-r^2 term in the resulting second order differential equation. Consequently,the validity of the solution is for a wider energy spectrum. As examples, weconsider the Hulthen and Eckart potentials.



Author: A. D. Alhaidari

Source: https://arxiv.org/







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