Anomalous dimensions of baryon multiplets in SU( N ) ( N ge 3) flavor symmetry

Journal Article · Sun Sep 01 00:00:00 EDT 1991 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.44.1516· OSTI ID:5178618

Ji, C ^[1]; Pang, C ^[2]

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1. Theory Group, Continuous Electron Beam Accelerator Facility, 12000 Jefferson Avenue, Newport News, Virginia (USA)
2. Department of Physics, North Carolina State University, Raleigh, North Carolina (USA)

The QCD evolution equation for the antisymmetric flavor multiplet is solved in SU({ital N}) ({ital N}{ge}3) flavor symmetry. This work presents the leading anomalous dimensions of all possible baryon multiplets in SU({ital N}) flavor symmetry. Expanding the quark distribution amplitudes of all baryon states in terms of Appel polynomials {ital A}{sub {ital i}}({ital x}), we observe that only the antisymmetric polynomials (e.g., {ital A}{sub 1} and {ital A}{sub 4} when {ital i}{le}5) have nonzero coefficients for the antisymmetric flavor ({ital N}({ital N}{minus}1)({ital N}{minus}2)/6) multiplet. For {ital N}=3, this observation provides a constraint for building the model quark distribution of the {Lambda}{sub 1} baryon. The asymptotic high-{ital Q}{sup 2} behavior of the {Lambda}{sub 1} form factor is also presented.

• OSTI ID: 5178618
• Journal Information: Physical Review, D (Particles Fields); (United States), Vol. 44:5; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
LAMBDA BARYONS
FLAVOR MODEL
SU GROUPS
COUPLING CONSTANTS
FORM FACTORS
LIGHT CONE
MOMENTUM TRANSFER
POLYNOMIALS
QUANTUM CHROMODYNAMICS
QUARKS
RENORMALIZATION
SYMMETRY
BARYONS
COMPOSITE MODELS
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
FUNCTIONS
HADRONS
HYPERONS
LIE GROUPS
MATHEMATICAL MODELS
PARTICLE MODELS
PARTICLE PROPERTIES
POSTULATED PARTICLES
QUANTUM FIELD THEORY
QUARK MODEL
SPACE-TIME
STRANGE PARTICLES
SYMMETRY GROUPS
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