Fermions embedded in a scalar-vector kink-like smooth potential

dc.contributor.authorCastilho, W. M. [UNESP]
dc.contributor.authorDe Castro, A. S. [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2018-12-11T16:58:00Z
dc.date.available2018-12-11T16:58:00Z
dc.date.issued2015-07-15
dc.description.abstractThe behaviour of massive fermions is analyzed with scalar and vector potentials. A continuous chiral-conjugation transformation decouples the equation for the upper component of the Dirac spinor provided the vector coupling does not exceed the scalar coupling. It is shown that a Sturm-Liouville perspective is convenient for studying scattering as well as bound states. One possible isolated solution (excluded from the Sturm-Liouville problem) corresponding to a bound state might also come into sight. For potentials with kink-like profiles, beyond the intrinsically relativistic isolated bound-state solution corresponding to the zero-mode solution of the massive Jackiw-Rebbi model in the case of no vector coupling, a finite set of bound-state solutions might appear as poles of the transmission amplitude in a strong coupling regime. It is also shown that the possible isolated bound solution disappears asymptotically as the magnitude of the scalar and vector coupling becomes the same. Furthermore, we show that due to the sizeable mass gain from the scalar background the high localization of the fermion in an extreme relativistic regime is conformable to comply with the Heisenberg uncertainty principle.en
dc.description.affiliationUNESP Campus de Guaratinguetá Departamento de Física e Química
dc.description.affiliationUnespUNESP Campus de Guaratinguetá Departamento de Física e Química
dc.identifierhttp://dx.doi.org/10.1088/1742-6596/630/1/012029
dc.identifier.citationJournal of Physics: Conference Series, v. 630, n. 1, 2015.
dc.identifier.doi10.1088/1742-6596/630/1/012029
dc.identifier.file2-s2.0-84938635529.pdf
dc.identifier.issn1742-6596
dc.identifier.issn1742-6588
dc.identifier.scopus2-s2.0-84938635529
dc.identifier.urihttp://hdl.handle.net/11449/171980
dc.language.isoeng
dc.relation.ispartofJournal of Physics: Conference Series
dc.relation.ispartofsjr0,241
dc.relation.ispartofsjr0,241
dc.rights.accessRightsAcesso aberto
dc.sourceScopus
dc.titleFermions embedded in a scalar-vector kink-like smooth potentialen
dc.typeTrabalho apresentado em evento
unesp.author.lattes5811700083195480[2]
unesp.author.orcid0000-0001-8802-8806[2]

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