Permutation group SN and large Nc excited baryons

We study the excited baryon states for an arbitrary number of colors Nc from the perspective of the permutation group SN of N objects. Classifying the transformation properties of states and quark-quark interaction operators under SN allows a general analysis of the spin-flavor structure of the mass...

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Publicado: 2008
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v78_n3_p_Pirjol
http://hdl.handle.net/20.500.12110/paper_15507998_v78_n3_p_Pirjol
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spelling paper:paper_15507998_v78_n3_p_Pirjol2023-06-08T16:22:04Z Permutation group SN and large Nc excited baryons We study the excited baryon states for an arbitrary number of colors Nc from the perspective of the permutation group SN of N objects. Classifying the transformation properties of states and quark-quark interaction operators under SN allows a general analysis of the spin-flavor structure of the mass operator of these states, in terms of a few unknown constants parametrizing the unknown spatial structure. We explain how to perform the matching calculation of a general two-body quark-quark interaction onto the operators of the 1/Nc expansion. The inclusion of core and excited quark operators is shown to be necessary. Considering the case of the negative parity L=1 states transforming in the MS of SN, we discuss the matching of the one-gluon and the Goldstone-boson exchange interactions. © 2008 The American Physical Society. 2008 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v78_n3_p_Pirjol http://hdl.handle.net/20.500.12110/paper_15507998_v78_n3_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 excited baryon states for an arbitrary number of colors Nc from the perspective of the permutation group SN of N objects. Classifying the transformation properties of states and quark-quark interaction operators under SN allows a general analysis of the spin-flavor structure of the mass operator of these states, in terms of a few unknown constants parametrizing the unknown spatial structure. We explain how to perform the matching calculation of a general two-body quark-quark interaction onto the operators of the 1/Nc expansion. The inclusion of core and excited quark operators is shown to be necessary. Considering the case of the negative parity L=1 states transforming in the MS of SN, we discuss the matching of the one-gluon and the Goldstone-boson exchange interactions. © 2008 The American Physical Society.
title Permutation group SN and large Nc excited baryons
spellingShingle Permutation group SN and large Nc excited baryons
title_short Permutation group SN and large Nc excited baryons
title_full Permutation group SN and large Nc excited baryons
title_fullStr Permutation group SN and large Nc excited baryons
title_full_unstemmed Permutation group SN and large Nc excited baryons
title_sort permutation group sn and large nc excited baryons
publishDate 2008
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v78_n3_p_Pirjol
http://hdl.handle.net/20.500.12110/paper_15507998_v78_n3_p_Pirjol
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