1/Nc expansion and the spin-flavor structure of the quark interaction in the constituent quark model

We study the hierarchy of the coefficients in the 1/Nc expansion for the negative parity L=1 excited baryons from the perspective of the constituent quark model. This is related to the problem of determining the spin-flavor structure of the quark interaction. The most general two-body scalar interac...

Descripción completa

Guardado en:
Detalles Bibliográficos
Publicado: 2010
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v82_n11_p_Pirjol
http://hdl.handle.net/20.500.12110/paper_15507998_v82_n11_p_Pirjol
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_15507998_v82_n11_p_Pirjol
record_format dspace
spelling paper:paper_15507998_v82_n11_p_Pirjol2023-06-08T16:22:13Z 1/Nc expansion and the spin-flavor structure of the quark interaction in the constituent quark model We study the hierarchy of the coefficients in the 1/Nc expansion for the negative parity L=1 excited baryons from the perspective of the constituent quark model. This is related to the problem of determining the spin-flavor structure of the quark interaction. The most general two-body scalar interaction between quarks contains the spin-flavor structures t1at2a,s →1•s→2 and s→1•s →2t1at2a. We show that in the limit of a zero range interaction all these structures are matched onto the same hadronic mass operator Sc2, which gives a possible explanation for the dominance of this operator in the 1/N c expansion for the L=1 states and implies that in this limit it is impossible to distinguish between these different spin-flavor structures. Modeling a finite range interaction through the exchange of a vector and pseudoscalar meson, we propose a test for the spin-flavor dependence of the quark forces. For the scalar part of the quark interaction, we find that both pion exchange and gluon exchange are compatible with the data. © 2010 The American Physical Society. 2010 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v82_n11_p_Pirjol http://hdl.handle.net/20.500.12110/paper_15507998_v82_n11_p_Pirjol
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description We study the hierarchy of the coefficients in the 1/Nc expansion for the negative parity L=1 excited baryons from the perspective of the constituent quark model. This is related to the problem of determining the spin-flavor structure of the quark interaction. The most general two-body scalar interaction between quarks contains the spin-flavor structures t1at2a,s →1•s→2 and s→1•s →2t1at2a. We show that in the limit of a zero range interaction all these structures are matched onto the same hadronic mass operator Sc2, which gives a possible explanation for the dominance of this operator in the 1/N c expansion for the L=1 states and implies that in this limit it is impossible to distinguish between these different spin-flavor structures. Modeling a finite range interaction through the exchange of a vector and pseudoscalar meson, we propose a test for the spin-flavor dependence of the quark forces. For the scalar part of the quark interaction, we find that both pion exchange and gluon exchange are compatible with the data. © 2010 The American Physical Society.
title 1/Nc expansion and the spin-flavor structure of the quark interaction in the constituent quark model
spellingShingle 1/Nc expansion and the spin-flavor structure of the quark interaction in the constituent quark model
title_short 1/Nc expansion and the spin-flavor structure of the quark interaction in the constituent quark model
title_full 1/Nc expansion and the spin-flavor structure of the quark interaction in the constituent quark model
title_fullStr 1/Nc expansion and the spin-flavor structure of the quark interaction in the constituent quark model
title_full_unstemmed 1/Nc expansion and the spin-flavor structure of the quark interaction in the constituent quark model
title_sort 1/nc expansion and the spin-flavor structure of the quark interaction in the constituent quark model
publishDate 2010
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v82_n11_p_Pirjol
http://hdl.handle.net/20.500.12110/paper_15507998_v82_n11_p_Pirjol
_version_ 1768545945656492032

Ejemplares similares