Scattering and bound states of fermions in a mixed vector–scalar smooth step potential
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. Chargeconjugation and chiralconjugation transformations are discussed and it is shown that a finite set of intrinsically relativistic boundstate 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 socalled spin and pseudospin symmetries in a fourdimensional space–time.  Highlights: • Scattering and bound states of fermions in a kinklike potential. • No pair production despite the high localization. • No bounded solution under exact spin and pseudospin symmetries.
 Authors:
 Publication Date:
 OSTI Identifier:
 22314840
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Annals of Physics (New York); Journal Volume: 346; Journal Issue: Complete; Other Information: Copyright (c) 2014 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOUND STATE; CHIRALITY; COUPLING; EFFECTIVE MASS; FERMIONS; FOURDIMENSIONAL CALCULATIONS; MATHEMATICAL SOLUTIONS; PAIR PRODUCTION; POTENTIALS; RELATIVISTIC RANGE; SCALARS; SCATTERING; SPACETIME; SPIN; SYMMETRY; TRANSFORMATIONS; VECTORS
Citation Formats
Castilho, W.M., Email: castilho.w@gmail.com, and Castro, A.S. de, Email: castro@pq.cnpq.br. Scattering and bound states of fermions in a mixed vector–scalar smooth step potential. United States: N. p., 2014.
Web. doi:10.1016/J.AOP.2014.04.011.
Castilho, W.M., Email: castilho.w@gmail.com, & Castro, A.S. de, Email: castro@pq.cnpq.br. Scattering and bound states of fermions in a mixed vector–scalar smooth step potential. United States. doi:10.1016/J.AOP.2014.04.011.
Castilho, W.M., Email: castilho.w@gmail.com, and Castro, A.S. de, Email: castro@pq.cnpq.br. Tue .
"Scattering and bound states of fermions in a mixed vector–scalar smooth step potential". United States.
doi:10.1016/J.AOP.2014.04.011.
@article{osti_22314840,
title = {Scattering and bound states of fermions in a mixed vector–scalar smooth step potential},
author = {Castilho, W.M., Email: castilho.w@gmail.com and Castro, A.S. de, Email: castro@pq.cnpq.br},
abstractNote = {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. Chargeconjugation and chiralconjugation transformations are discussed and it is shown that a finite set of intrinsically relativistic boundstate 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 socalled spin and pseudospin symmetries in a fourdimensional space–time.  Highlights: • Scattering and bound states of fermions in a kinklike potential. • No pair production despite the high localization. • No bounded solution under exact spin and pseudospin symmetries.},
doi = {10.1016/J.AOP.2014.04.011},
journal = {Annals of Physics (New York)},
number = Complete,
volume = 346,
place = {United States},
year = {Tue Jul 15 00:00:00 EDT 2014},
month = {Tue Jul 15 00:00:00 EDT 2014}
}

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