Matching the quark model to the 1/Nc expansion

Dan Pirjol; Carlos Schat

doi:10.1063/1.3647173

Matching the quark model to the 1/N_c expansion

Dan Pirjol, Carlos Schat

School of Business

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

We compute the coefficients of the effective mass operator of the 1/N _c expansion for negative parity L=1 excited baryons using the Isgur-Karl model in order to compare the general approach, where the coefficients are obtained by fitting to data, with a specific constituent quark model calculation. We discuss the physics behind the fitted coefficients for the scalar part of the most general two-body quark-quark interaction. We find that both pion exchange and gluon exchange lead to the dominance of the same operator at the level of the effective mass operator, which is also observed from data.

Original language	English
Title of host publication	12th International Conference on Meson-Nucleon Physics and the Structure of the Nucleon, MENU 2010
Pages	425-428
Number of pages	4
DOIs	https://doi.org/10.1063/1.3647173
State	Published - 2011
Event	12th International Conference on Meson-Nucleon Physics and the Structure of the Nucleon, MENU 2010 - Williamsburg, VA, United States Duration: 31 May 2010 → 4 Jun 2010

Publication series

Name	AIP Conference Proceedings
Volume	1374
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	12th International Conference on Meson-Nucleon Physics and the Structure of the Nucleon, MENU 2010
Country/Territory	United States
City	Williamsburg, VA
Period	31/05/10 → 4/06/10

Keywords

1/N expansion of QCD
Quark model
excited baryons

Access to Document

10.1063/1.3647173

Cite this

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title = "Matching the quark model to the 1/Nc expansion",

abstract = "We compute the coefficients of the effective mass operator of the 1/N c expansion for negative parity L=1 excited baryons using the Isgur-Karl model in order to compare the general approach, where the coefficients are obtained by fitting to data, with a specific constituent quark model calculation. We discuss the physics behind the fitted coefficients for the scalar part of the most general two-body quark-quark interaction. We find that both pion exchange and gluon exchange lead to the dominance of the same operator at the level of the effective mass operator, which is also observed from data.",

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author = "Dan Pirjol and Carlos Schat",

year = "2011",

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series = "AIP Conference Proceedings",

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booktitle = "12th International Conference on Meson-Nucleon Physics and the Structure of the Nucleon, MENU 2010",

note = "12th International Conference on Meson-Nucleon Physics and the Structure of the Nucleon, MENU 2010 ; Conference date: 31-05-2010 Through 04-06-2010",

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Pirjol, D & Schat, C 2011, Matching the quark model to the 1/N_c expansion. in 12th International Conference on Meson-Nucleon Physics and the Structure of the Nucleon, MENU 2010. AIP Conference Proceedings, vol. 1374, pp. 425-428, 12th International Conference on Meson-Nucleon Physics and the Structure of the Nucleon, MENU 2010, Williamsburg, VA, United States, 31/05/10. https://doi.org/10.1063/1.3647173

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AU - Pirjol, Dan

AU - Schat, Carlos

PY - 2011

Y1 - 2011

N2 - We compute the coefficients of the effective mass operator of the 1/N c expansion for negative parity L=1 excited baryons using the Isgur-Karl model in order to compare the general approach, where the coefficients are obtained by fitting to data, with a specific constituent quark model calculation. We discuss the physics behind the fitted coefficients for the scalar part of the most general two-body quark-quark interaction. We find that both pion exchange and gluon exchange lead to the dominance of the same operator at the level of the effective mass operator, which is also observed from data.

AB - We compute the coefficients of the effective mass operator of the 1/N c expansion for negative parity L=1 excited baryons using the Isgur-Karl model in order to compare the general approach, where the coefficients are obtained by fitting to data, with a specific constituent quark model calculation. We discuss the physics behind the fitted coefficients for the scalar part of the most general two-body quark-quark interaction. We find that both pion exchange and gluon exchange lead to the dominance of the same operator at the level of the effective mass operator, which is also observed from data.

KW - 1/N expansion of QCD

KW - Quark model

KW - excited baryons

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BT - 12th International Conference on Meson-Nucleon Physics and the Structure of the Nucleon, MENU 2010

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