Alternate 1/N c expansions and SU(3) breaking from baryon lattice results

Aleksey Cherman, Thomas D. Cohen, Richard Lebed

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

A combined expansion in the number of QCD colors 1/N c and SU(3) flavor-breaking parameter μ has long been known to provide an excellent accounting for the mass spectrum of the lightest spin-12, 32 baryons when the quarks are taken to transform under the fundamental SU(N c) representation, and in the final step N c→3 and μ is set to its physical value ∼0.3. Subsequent work shows that placing quarks in the two-index antisymmetric SU(N c) representation leads to quantitatively equally successful mass relations. Recent lattice simulations allow for varying the value of μ and confirm the robustness of the original 1/N c relations. In this paper we show that the same conclusion holds for the antisymmetric quarks and demonstrate that the mass relations also hold under alternate prescriptions for identifying physical baryons with particular members of the large N c multiplets.

Original languageEnglish (US)
Article number016002
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume86
Issue number1
DOIs
StatePublished - Jul 3 2012

Fingerprint

baryons
quarks
expansion
mass spectra
quantum chromodynamics
fine structure
color
simulation

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Alternate 1/N c expansions and SU(3) breaking from baryon lattice results. / Cherman, Aleksey; Cohen, Thomas D.; Lebed, Richard.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 86, No. 1, 016002, 03.07.2012.

Research output: Contribution to journalArticle

@article{63b6977751ea4e138e9028c78028ec67,
title = "Alternate 1/N c expansions and SU(3) breaking from baryon lattice results",
abstract = "A combined expansion in the number of QCD colors 1/N c and SU(3) flavor-breaking parameter μ has long been known to provide an excellent accounting for the mass spectrum of the lightest spin-12, 32 baryons when the quarks are taken to transform under the fundamental SU(N c) representation, and in the final step N c→3 and μ is set to its physical value ∼0.3. Subsequent work shows that placing quarks in the two-index antisymmetric SU(N c) representation leads to quantitatively equally successful mass relations. Recent lattice simulations allow for varying the value of μ and confirm the robustness of the original 1/N c relations. In this paper we show that the same conclusion holds for the antisymmetric quarks and demonstrate that the mass relations also hold under alternate prescriptions for identifying physical baryons with particular members of the large N c multiplets.",
author = "Aleksey Cherman and Cohen, {Thomas D.} and Richard Lebed",
year = "2012",
month = "7",
day = "3",
doi = "10.1103/PhysRevD.86.016002",
language = "English (US)",
volume = "86",
journal = "Physical review D: Particles and fields",
issn = "1550-7998",
publisher = "American Institute of Physics Publising LLC",
number = "1",

}

TY - JOUR

T1 - Alternate 1/N c expansions and SU(3) breaking from baryon lattice results

AU - Cherman, Aleksey

AU - Cohen, Thomas D.

AU - Lebed, Richard

PY - 2012/7/3

Y1 - 2012/7/3

N2 - A combined expansion in the number of QCD colors 1/N c and SU(3) flavor-breaking parameter μ has long been known to provide an excellent accounting for the mass spectrum of the lightest spin-12, 32 baryons when the quarks are taken to transform under the fundamental SU(N c) representation, and in the final step N c→3 and μ is set to its physical value ∼0.3. Subsequent work shows that placing quarks in the two-index antisymmetric SU(N c) representation leads to quantitatively equally successful mass relations. Recent lattice simulations allow for varying the value of μ and confirm the robustness of the original 1/N c relations. In this paper we show that the same conclusion holds for the antisymmetric quarks and demonstrate that the mass relations also hold under alternate prescriptions for identifying physical baryons with particular members of the large N c multiplets.

AB - A combined expansion in the number of QCD colors 1/N c and SU(3) flavor-breaking parameter μ has long been known to provide an excellent accounting for the mass spectrum of the lightest spin-12, 32 baryons when the quarks are taken to transform under the fundamental SU(N c) representation, and in the final step N c→3 and μ is set to its physical value ∼0.3. Subsequent work shows that placing quarks in the two-index antisymmetric SU(N c) representation leads to quantitatively equally successful mass relations. Recent lattice simulations allow for varying the value of μ and confirm the robustness of the original 1/N c relations. In this paper we show that the same conclusion holds for the antisymmetric quarks and demonstrate that the mass relations also hold under alternate prescriptions for identifying physical baryons with particular members of the large N c multiplets.

UR - http://www.scopus.com/inward/record.url?scp=84863815998&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84863815998&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.86.016002

DO - 10.1103/PhysRevD.86.016002

M3 - Article

VL - 86

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 1

M1 - 016002

ER -