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arXiv · 1310.8473

Stationary states of fermions in a sign potential with a mixed vector-scalar coupling

W. M. Castilho·A. S. de Castro
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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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W. M. Castilho, A. S. de Castro. 2013-10-31. Stationary states of fermions in a sign potential with a mixed vector-scalar coupling. https://doi.org/10.1016/j.aop.2013.10.008

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