Operator analysis of [formula presented] baryon masses in large [formula presented] QCD

Carl E. Carlson, Christopher D. Carone, JoséL Goity, Richard Lebed

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We consider in detail the mass operator analysis for the nonstrange (Formula presented) excited baryons in large (Formula presented) QCD. We present a straightforward procedure for constructing the large (Formula presented) 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 (Formula presented) 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 languageEnglish (US)
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume59
Issue number11
DOIs
StatePublished - Apr 20 1999
Externally publishedYes

Fingerprint

baryons
quantum chromodynamics
operators
set theory
wave functions
symmetry
matrices

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

Cite this

Operator analysis of [formula presented] baryon masses in large [formula presented] QCD. / Carlson, Carl E.; Carone, Christopher D.; Goity, JoséL; Lebed, Richard.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 59, No. 11, 20.04.1999.

Research output: Contribution to journalArticle

@article{59fe19c3b97146ea8dd07b806c96c701,
title = "Operator analysis of [formula presented] baryon masses in large [formula presented] QCD",
abstract = "We consider in detail the mass operator analysis for the nonstrange (Formula presented) excited baryons in large (Formula presented) QCD. We present a straightforward procedure for constructing the large (Formula presented) 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 (Formula presented) approach, which has a firmer theoretical foundation. We then suggest a possible dynamical interpretation for the subset of operators preferred strongly by the data.",
author = "Carlson, {Carl E.} and Carone, {Christopher D.} and Jos{\'e}L Goity and Richard Lebed",
year = "1999",
month = "4",
day = "20",
doi = "10.1103/PhysRevD.59.114008",
language = "English (US)",
volume = "59",
journal = "Physical review D: Particles and fields",
issn = "1550-7998",
publisher = "American Institute of Physics Publising LLC",
number = "11",

}

TY - JOUR

T1 - Operator analysis of [formula presented] baryon masses in large [formula presented] QCD

AU - Carlson, Carl E.

AU - Carone, Christopher D.

AU - Goity, JoséL

AU - Lebed, Richard

PY - 1999/4/20

Y1 - 1999/4/20

N2 - We consider in detail the mass operator analysis for the nonstrange (Formula presented) excited baryons in large (Formula presented) QCD. We present a straightforward procedure for constructing the large (Formula presented) 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 (Formula presented) 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 (Formula presented) excited baryons in large (Formula presented) QCD. We present a straightforward procedure for constructing the large (Formula presented) 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 (Formula presented) approach, which has a firmer theoretical foundation. We then suggest a possible dynamical interpretation for the subset of operators preferred strongly by the data.

UR - http://www.scopus.com/inward/record.url?scp=85037914997&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85037914997&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.59.114008

DO - 10.1103/PhysRevD.59.114008

M3 - Article

AN - SCOPUS:85037914997

VL - 59

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 11

ER -