Operator analysis of l=1 baryon masses in large Nc QCD

Carl E. Carlson; Christopher D. Carone; José L. Goity; Richard F. Lebed

doi:10.1103/PhysRevD.59.114008

Operator analysis of l=1 baryon masses in large N_c QCD

Carl E. Carlson, Christopher D. Carone, José L. Goity, Richard F. Lebed

Research output: Contribution to journal › Article › peer-review

120 Scopus citations

Abstract

We consider in detail the mass operator analysis for the nonstrange l=1 excited baryons in large N_c QCD. We present a straightforward procedure for constructing the large N_c baryon wave functions, and provide complete analytic expressions for the matrix elements of all the independent isosinglet mass operators. We discuss the relationship between the old-fashioned operator analyses based on nonrelativistic SU(6) symmetry and the modern large N_c approach, which has a firmer theoretical foundation. We then suggest a possible dynamical interpretation for the subset of operators preferred strongly by the data.

Original language	English (US)
Article number	114008
Pages (from-to)	1-16
Number of pages	16
Journal	Physical Review D - Particles, Fields, Gravitation and Cosmology
Volume	59
Issue number	11
DOIs	https://doi.org/10.1103/PhysRevD.59.114008
State	Published - Jun 1 1999
Externally published	Yes

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

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10.1103/PhysRevD.59.114008

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AU - Carlson, Carl E.

AU - Carone, Christopher D.

AU - Goity, José L.

AU - Lebed, Richard F.

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Y1 - 1999/6/1

N2 - We consider in detail the mass operator analysis for the nonstrange l=1 excited baryons in large Nc QCD. We present a straightforward procedure for constructing the large Nc baryon wave functions, and provide complete analytic expressions for the matrix elements of all the independent isosinglet mass operators. We discuss the relationship between the old-fashioned operator analyses based on nonrelativistic SU(6) symmetry and the modern large Nc approach, which has a firmer theoretical foundation. We then suggest a possible dynamical interpretation for the subset of operators preferred strongly by the data.

AB - We consider in detail the mass operator analysis for the nonstrange l=1 excited baryons in large Nc QCD. We present a straightforward procedure for constructing the large Nc baryon wave functions, and provide complete analytic expressions for the matrix elements of all the independent isosinglet mass operators. We discuss the relationship between the old-fashioned operator analyses based on nonrelativistic SU(6) symmetry and the modern large Nc approach, which has a firmer theoretical foundation. We then suggest a possible dynamical interpretation for the subset of operators preferred strongly by the data.

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Operator analysis of l=1 baryon masses in large N_c QCD

Abstract

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