Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1857390 | Annals of Physics | 2014 | 12 Pages |
Abstract
The scattering of a fermion in the background of a sign potential is considered with a general mixing of vector and scalar Lorentz structures with the scalar coupling stronger than or equal to the vector coupling under the Sturm-Liouville perspective. When the vector coupling and the scalar coupling have different magnitudes, an isolated solution shows that the fermion under a strong potential can be trapped in a highly localized region without manifestation of Klein's paradox. It is also shown that the lonely bound-state solution disappears asymptotically as one approaches the conditions for the realization of spin and pseudospin symmetries.
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Authors
W.M. Castilho, A.S. de Castro,