Dirac equation with coupling to 1/r singular vector potentials for all angular momenta

Abstract

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

7 pages

References in corpus (1)

• Approximate Solution of the effective mass Klein-Gordon Equation for the Hulthen Potential with any Angular Momentum

Cited by in corpus (6)

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• Solution of Effective-Mass Dirac Equation with Scalar-Vector and Pseudoscalar Terms for Generalized Hulthén Potential