Phenomenology of the Baryon Resonance 70-plet at Large N_c

Abstract

We examine the multiplet structure and decay channels of baryon resonances in the large N_c QCD generalization of the N_c = 3 SU(6) spin-flavor 70. We show that this ``70'', while a construct of large N_c quark models, actually consists of five model-independent irreducible spin-flavor multiplets in the large N_c limit. The preferred decay modes for these resonances fundamentally depend upon which of the five multiplets to which the resonance belongs. For example, there exists an SU(3) ``8'' of resonances that is eta-philic and pi-phobic, and an ``8'' that is the reverse. Moreover, resonances with a strong SU(3) ``1'' component prefer to decay via a K-bar rather than via a pi. Remarkably, available data appears to bear out these conclusions.

26 pages, ReVTeX

References in corpus (10)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• The $[56,4^{+}]$ baryons in the $1/N_c$ expansion
• Decays of Non-strange Negative Parity Baryons in the 1/Nc Expansion
• SU(3) Clebsch-Gordan Coefficients for Baryon-Meson Coupling at Arbitrary N_c
• Pion Photoproduction Amplitude Relations in the 1/N_c Expansion
• Negative-Parity Heavy Pentaquark States in 1/N_c
• SU(3) Baryon Resonance Multiplets in Large N_c QCD
• Negative parity pentaquarks in large Nc QCD and quark model
• Decays of Non-Strange Positive Parity Excited Baryons in the 1/Nc Expansion
• Excited Baryons in Large $N_c$ QCD

Cited by in corpus (17)

• Masses of $[70,{\ell }^{+}]$ Baryons in the $1/N_c$ Expansion
• On the nature of the $\Lambda (1405)$ and $\Lambda (1670)$ from their $N_c$ behavior in chiral dynamics
• Baryon resonances in large $N_c$ QCD
• Interplay of the Chiral and Large N_c Limits in pi N Scattering
• Partial Decay Widths of Negative Parity Baryons in the 1/Nc Expansion
• SU(6) $[70,1^{-}]$ baryon multiplet in the $1/N_c$ expansion
• Matrix elements of SU(6) generators for baryons with arbitrary $N_c$ quarks in mixed symmetric states $[N_c-1,1]$
• The Large N_c Baryon-Meson I_t = J_t Rule Holds for Three Flavors
• Decoupling Spurious Baryon States in the 1/N_c Expansion of QCD
• Hadrons and Chiral Symmetry
• Updated $1/N_c$ expansion analysis of $[56,2^{+}]$ and $[70,{\mathbf{\ell }}^{+}]$ baryon multiplets
• 1/N_c Corrections in Meson-Baryon Scattering
• Positive parity pentaquark towers in large Nc QCD
• Pion Electroproduction Amplitude Relations in the 1/N_c Expansion
• pi N --> Multi-pi N Scattering in the 1/N_c Expansion
• Towers of baryons of the $\mathcal{N}=2$ quark model band in the large $N_c$ limit
• Group theoretical study of nonstrange and strange mixed symmetric baryon states $[N_c-1,1]$ in the $1/N_c$ expansion