Research PapersNo Access
GALILEAN COVARIANT DIRAC EQUATION WITH A WOODS–SAXON POTENTIAL
https://doi.org/10.1142/S0218301313500924Cited by:1 (Source: Crossref)
Abstract
We derive and solve the Galilean covariant Dirac equation, also called "Lévy-Leblond equation", for spin-½ particles in a Woods–Saxon potential. We obtain this wave equation with a Galilean covariant approach, which is based on a (4+1)-dimensional manifold with light-cone coordinates followed by a reduction to the (3+1)-dimensional Galilean space-time. We apply the Pekeris approximation and exploit the Nikiforov–Uvarov method to find the energy eigenvalues and eigenfunctions.
PACS: 3.65.Ge, 11.10.Kk, 11.10.-z, 31.30.jx
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