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arXiv · 1405.0310

Scattering and bound states of fermions in a mixed vector-scalar smooth step potential

W. M. Castilho·A. S. de Castro
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Abstract

The scattering of a fermion in the background of a smooth step 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. Charge-conjugation and chiral-conjugation transformations are discussed and it is shown that a finite set of intrinsically relativistic bound-state solutions appears as poles of the transmission amplitude. It is also shown that those bound solutions disappear asymptotically as one approaches the conditions for the realization of the so-called spin and pseudospin symmetries in a four-dimensional space-time.

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W. M. Castilho, A. S. de Castro. 2014-05-01. Scattering and bound states of fermions in a mixed vector-scalar smooth step potential. https://doi.org/10.1016/j.aop.2014.04.011

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