Bounded solutions for nonconserving-parity pseudoscalar potentials
Autor(a) principal: | |
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Data de Publicação: | 2004 |
Outros Autores: | , |
Tipo de documento: | Artigo de conferência |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1063/1.1843684 http://hdl.handle.net/11449/9108 |
Resumo: | The Dirac equation is analyzed for nonconserving-parity pseudoscalar radial potentials in 3+1 dimensions. It is shown that despite the nonconservation of parity this general problem can be reduced to a Sturm-Liouville problem of nonrelativistic fermions in spherically symmetric effective potentials. The searching for bounded solutions is done for the power-law and Yukawa potentials. The use of the methodology of effective potentials allow us to conclude that the existence of bound-state solutions depends whether the potential leads to a definite effective potential-well structure or to an effective potential less singular than -1/4r(2). |
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Bounded solutions for nonconserving-parity pseudoscalar potentialsThe Dirac equation is analyzed for nonconserving-parity pseudoscalar radial potentials in 3+1 dimensions. It is shown that despite the nonconservation of parity this general problem can be reduced to a Sturm-Liouville problem of nonrelativistic fermions in spherically symmetric effective potentials. The searching for bounded solutions is done for the power-law and Yukawa potentials. The use of the methodology of effective potentials allow us to conclude that the existence of bound-state solutions depends whether the potential leads to a definite effective potential-well structure or to an effective potential less singular than -1/4r(2).UNESP, Dept Quim & Fis, BR-12516410 Guaratingueta, BrazilUNESP, Dept Quim & Fis, BR-12516410 Guaratingueta, BrazilAmerican Institute of Physics (AIP)Universidade Estadual Paulista (Unesp)de Castro, A. S.Malheiro, M.Lisboa, R.2014-05-20T13:27:34Z2014-05-20T13:27:34Z2004-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject657-659http://dx.doi.org/10.1063/1.1843684Ix Hadron Physics and Vii Relativistic Aspects of Nuclear Physics. Melville: Amer Inst Physics, v. 739, p. 657-659, 2004.0094-243Xhttp://hdl.handle.net/11449/910810.1063/1.1843684WOS:0002264760000945811700083195480Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengIx Hadron Physics and Vii Relativistic Aspects of Nuclear Physicsinfo:eu-repo/semantics/openAccess2024-07-01T20:52:57Zoai:repositorio.unesp.br:11449/9108Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-07-01T20:52:57Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Bounded solutions for nonconserving-parity pseudoscalar potentials |
title |
Bounded solutions for nonconserving-parity pseudoscalar potentials |
spellingShingle |
Bounded solutions for nonconserving-parity pseudoscalar potentials de Castro, A. S. |
title_short |
Bounded solutions for nonconserving-parity pseudoscalar potentials |
title_full |
Bounded solutions for nonconserving-parity pseudoscalar potentials |
title_fullStr |
Bounded solutions for nonconserving-parity pseudoscalar potentials |
title_full_unstemmed |
Bounded solutions for nonconserving-parity pseudoscalar potentials |
title_sort |
Bounded solutions for nonconserving-parity pseudoscalar potentials |
author |
de Castro, A. S. |
author_facet |
de Castro, A. S. Malheiro, M. Lisboa, R. |
author_role |
author |
author2 |
Malheiro, M. Lisboa, R. |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
de Castro, A. S. Malheiro, M. Lisboa, R. |
description |
The Dirac equation is analyzed for nonconserving-parity pseudoscalar radial potentials in 3+1 dimensions. It is shown that despite the nonconservation of parity this general problem can be reduced to a Sturm-Liouville problem of nonrelativistic fermions in spherically symmetric effective potentials. The searching for bounded solutions is done for the power-law and Yukawa potentials. The use of the methodology of effective potentials allow us to conclude that the existence of bound-state solutions depends whether the potential leads to a definite effective potential-well structure or to an effective potential less singular than -1/4r(2). |
publishDate |
2004 |
dc.date.none.fl_str_mv |
2004-01-01 2014-05-20T13:27:34Z 2014-05-20T13:27:34Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/conferenceObject |
format |
conferenceObject |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1063/1.1843684 Ix Hadron Physics and Vii Relativistic Aspects of Nuclear Physics. Melville: Amer Inst Physics, v. 739, p. 657-659, 2004. 0094-243X http://hdl.handle.net/11449/9108 10.1063/1.1843684 WOS:000226476000094 5811700083195480 |
url |
http://dx.doi.org/10.1063/1.1843684 http://hdl.handle.net/11449/9108 |
identifier_str_mv |
Ix Hadron Physics and Vii Relativistic Aspects of Nuclear Physics. Melville: Amer Inst Physics, v. 739, p. 657-659, 2004. 0094-243X 10.1063/1.1843684 WOS:000226476000094 5811700083195480 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Ix Hadron Physics and Vii Relativistic Aspects of Nuclear Physics |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
657-659 |
dc.publisher.none.fl_str_mv |
American Institute of Physics (AIP) |
publisher.none.fl_str_mv |
American Institute of Physics (AIP) |
dc.source.none.fl_str_mv |
Web of Science reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1803649919182962688 |