Permutation group SN and hadron spectroscopy

We discuss the application of the permutation group SN to a few problems in hadron physics. In Ref. [11] a method was proposed for matching a quark model Hamiltonian onto the effective Hamiltonian of the 1/Nc expansion, which makes use of the transformation properties of the states and operators und...

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Autores principales: Pirjol, D., Schat, C.
Formato: CONF
Materias:
Effective Hamiltonian
Hadron physics
Hadron spectroscopy
Mixing angle
Permutation group
Quark interaction
Quark model
Hamiltonians
High energy physics
Mixing
Spectroscopic analysis
Hadrons
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_18248039_v_n_p_Pirjol
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_18248039_v_n_p_Pirjol2023-10-03T16:33:09Z Permutation group SN and hadron spectroscopy Pirjol, D. Schat, C. Effective Hamiltonian Hadron physics Hadron spectroscopy Mixing angle Permutation group Quark interaction Quark model Hamiltonians High energy physics Mixing Spectroscopic analysis Hadrons We discuss the application of the permutation group SN to a few problems in hadron physics. In Ref. [11] a method was proposed for matching a quark model Hamiltonian onto the effective Hamiltonian of the 1/Nc expansion, which makes use of the transformation properties of the states and operators under SN. This method is used in [13] to obtain information about the spin-flavor structure of the quark interaction Hamiltonian from the spectrum of the negative parity L = 1 excited baryons. Assuming the most general 2-body quark Hamiltonian, we derive two correlations among the masses and mixing angles of these states which should hold in any quark model. These correlations constrain the mixing angles, and can be used to test for the presence of 3-body quark interactions. We find that the pure gluon-exchange model is disfavored by data, independently of any assumptions about the hadronic wave functions. © Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence. CONF info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_18248039_v_n_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)
topic Effective Hamiltonian
Hadron physics
Hadron spectroscopy
Mixing angle
Permutation group
Quark interaction
Quark model
Hamiltonians
High energy physics
Mixing
Spectroscopic analysis
Hadrons
spellingShingle Effective Hamiltonian
Hadron physics
Hadron spectroscopy
Mixing angle
Permutation group
Quark interaction
Quark model
Hamiltonians
High energy physics
Mixing
Spectroscopic analysis
Hadrons
Pirjol, D.
Schat, C.
Permutation group SN and hadron spectroscopy
topic_facet Effective Hamiltonian
Hadron physics
Hadron spectroscopy
Mixing angle
Permutation group
Quark interaction
Quark model
Hamiltonians
High energy physics
Mixing
Spectroscopic analysis
Hadrons
description We discuss the application of the permutation group SN to a few problems in hadron physics. In Ref. [11] a method was proposed for matching a quark model Hamiltonian onto the effective Hamiltonian of the 1/Nc expansion, which makes use of the transformation properties of the states and operators under SN. This method is used in [13] to obtain information about the spin-flavor structure of the quark interaction Hamiltonian from the spectrum of the negative parity L = 1 excited baryons. Assuming the most general 2-body quark Hamiltonian, we derive two correlations among the masses and mixing angles of these states which should hold in any quark model. These correlations constrain the mixing angles, and can be used to test for the presence of 3-body quark interactions. We find that the pure gluon-exchange model is disfavored by data, independently of any assumptions about the hadronic wave functions. © Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence.
format CONF
author Pirjol, D.
Schat, C.
author_facet Pirjol, D.
Schat, C.
author_sort Pirjol, D.
title Permutation group SN and hadron spectroscopy
title_short Permutation group SN and hadron spectroscopy
title_full Permutation group SN and hadron spectroscopy
title_fullStr Permutation group SN and hadron spectroscopy
title_full_unstemmed Permutation group SN and hadron spectroscopy
title_sort permutation group sn and hadron spectroscopy
url http://hdl.handle.net/20.500.12110/paper_18248039_v_n_p_Pirjol
work_keys_str_mv AT pirjold permutationgroupsnandhadronspectroscopy
AT schatc permutationgroupsnandhadronspectroscopy
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