Anomalous dimensions of Baryon multiplets in SU(N) (N>3) flavor

Journal Article · Sun Sep 01 00:00:00 EDT 1991 · Physical Review D

OSTI ID:954237

Ji, Chueng; Pang, Chiu-yan

The QCD evolution equation for the antisymmetric flavor multiplet is solved in SU(N) (N >= 3) flavor symmetry. This work presents the leading anomalousdimensions of all possible baryon multiplets in SU(N) flavor symmetry. Expanding the quark distribution amplitudes of all baryon states in terms of Appel polynomialsA_i(x), we observe that only the antisymmetric polynomials (e.g., A₁ and A₄ when i <= 5) have nonzero coefficients for the antisymmetric flavor [N(N-1)(N-2)/6] multiplet. For N=3, this observation provides a constraint for building the model quark distribution of the Lambda₁ baryon. The asymptotic high-Q² behavior of the Lambda ₁ form factor is also presented.

• Research Organization: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
• Sponsoring Organization: USDOE
• DOE Contract Number: AC05-84ER40150
• OSTI ID: 954237
• Report Number(s): CEBAF-TH-91-04; TRN: US201014%%1051
• Journal Information: Physical Review D, Vol. 44
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AMPLITUDES
ANOMALOUS DIMENSION
BARYONS
DISTRIBUTION
FORM FACTORS
MULTIPLETS
POLYNOMIALS
QUANTUM CHROMODYNAMICS
QUARKS
SYMMETRY