Chiral symmetry and spin dependence of the quark-antiquark forces in quarkonium
Autor(a) principal: | |
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Data de Publicação: | 1993 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | https://hdl.handle.net/10216/589 |
Resumo: | Within the ladder approximation, the general form of the quark-antiquark interaction kernel, consistent with chiral symmetry, is investigated through the combined use of Ward identities for the axial and vector currents. In the charm and bottom sectors we show that chiral symmetry still plays an important role, through the functional form of the quark-antiquark forces. To maintain the chiral symmetry the scalar, pseudoscalar and tensor terms of the local interaction kernel must appear in a combination consistent with the equation Ks = Kp = 3Kt. Within the validity domain of the ladder approximation, this result is independent of the quark current masses. While the vector and axial parts, Kv and Ka, are not constrained by chiral symmetry, they are needed in order to implement spontaneous chiral-symmetry breaking, since the above terms alone would not do. In addition to the usual spin-spin, spin-orbit and tensor interactions, the existence of a Lorentz-tensor term in the kernel gives rise to a second tensor force which does not appear in previous studies of mesonic spectroscopy. |
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Chiral symmetry and spin dependence of the quark-antiquark forces in quarkoniumWithin the ladder approximation, the general form of the quark-antiquark interaction kernel, consistent with chiral symmetry, is investigated through the combined use of Ward identities for the axial and vector currents. In the charm and bottom sectors we show that chiral symmetry still plays an important role, through the functional form of the quark-antiquark forces. To maintain the chiral symmetry the scalar, pseudoscalar and tensor terms of the local interaction kernel must appear in a combination consistent with the equation Ks = Kp = 3Kt. Within the validity domain of the ladder approximation, this result is independent of the quark current masses. While the vector and axial parts, Kv and Ka, are not constrained by chiral symmetry, they are needed in order to implement spontaneous chiral-symmetry breaking, since the above terms alone would not do. In addition to the usual spin-spin, spin-orbit and tensor interactions, the existence of a Lorentz-tensor term in the kernel gives rise to a second tensor force which does not appear in previous studies of mesonic spectroscopy.19931993-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/10216/589eng1550-799810.1103/PhysRevD.47.1145Jaime VillateD. LiuJ. RibeiroP. Bicudoinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-11-29T15:30:51Zoai:repositorio-aberto.up.pt:10216/589Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T00:25:24.147480Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
dc.title.none.fl_str_mv |
Chiral symmetry and spin dependence of the quark-antiquark forces in quarkonium |
title |
Chiral symmetry and spin dependence of the quark-antiquark forces in quarkonium |
spellingShingle |
Chiral symmetry and spin dependence of the quark-antiquark forces in quarkonium Jaime Villate |
title_short |
Chiral symmetry and spin dependence of the quark-antiquark forces in quarkonium |
title_full |
Chiral symmetry and spin dependence of the quark-antiquark forces in quarkonium |
title_fullStr |
Chiral symmetry and spin dependence of the quark-antiquark forces in quarkonium |
title_full_unstemmed |
Chiral symmetry and spin dependence of the quark-antiquark forces in quarkonium |
title_sort |
Chiral symmetry and spin dependence of the quark-antiquark forces in quarkonium |
author |
Jaime Villate |
author_facet |
Jaime Villate D. Liu J. Ribeiro P. Bicudo |
author_role |
author |
author2 |
D. Liu J. Ribeiro P. Bicudo |
author2_role |
author author author |
dc.contributor.author.fl_str_mv |
Jaime Villate D. Liu J. Ribeiro P. Bicudo |
description |
Within the ladder approximation, the general form of the quark-antiquark interaction kernel, consistent with chiral symmetry, is investigated through the combined use of Ward identities for the axial and vector currents. In the charm and bottom sectors we show that chiral symmetry still plays an important role, through the functional form of the quark-antiquark forces. To maintain the chiral symmetry the scalar, pseudoscalar and tensor terms of the local interaction kernel must appear in a combination consistent with the equation Ks = Kp = 3Kt. Within the validity domain of the ladder approximation, this result is independent of the quark current masses. While the vector and axial parts, Kv and Ka, are not constrained by chiral symmetry, they are needed in order to implement spontaneous chiral-symmetry breaking, since the above terms alone would not do. In addition to the usual spin-spin, spin-orbit and tensor interactions, the existence of a Lorentz-tensor term in the kernel gives rise to a second tensor force which does not appear in previous studies of mesonic spectroscopy. |
publishDate |
1993 |
dc.date.none.fl_str_mv |
1993 1993-01-01T00:00:00Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
https://hdl.handle.net/10216/589 |
url |
https://hdl.handle.net/10216/589 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
1550-7998 10.1103/PhysRevD.47.1145 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.source.none.fl_str_mv |
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
instname_str |
Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository.name.fl_str_mv |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
repository.mail.fl_str_mv |
|
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1799136168641560576 |