Chiral soliton models, large N_c consistency and the Theta^+ exotic baryon

Abstract

Predictions for a light collective ${\Theta }^{+}$ baryon state (with strangeness +1) based on the collective quantization of chiral soliton models are shown to be inconsistent with large $N_c$ QCD. The lightest strangeness +1 state to emerge from the analysis has an excitation energy which at large $N_c$ scales as $N_c^0$ while collective quantization is legitimate only for excitations which go to zero as $N_c\to \infty$. This inconsistency strongly suggests that predictions for ${\Theta }^{+}$ properties based on collective quantization of chiral solitons are not valid.

5 pages, 1 figure. This is the version to be published; minor typos have been corrected and a reference added

References in corpus (2)

• New Relations for Excited Baryons in Large N_c QCD
• Excited Baryons in Large N_c QCD Revisited: The Resonance Picture Versus Single-Quark Excitations

Cited by in corpus (57)

• SU(N) gauge theories at large N
• The antinucleon-nucleon interaction at low energy : annihilation dynamics
• Chiral-Soliton Predictions for Exotic Baryons
• Z^* Resonances: Phenomenology and Models
• A study of pentaquarks on the lattice with overlap fermions
• Is Theta+(1540) a Kaon--Skyrmion Resonance?
• Penta-quark baryon in anisotropic lattice QCD
• Is the Theta+ a K pi N bound state?
• Pentaquark Theta^+(1540) production in gamma N --> K Anti-K N
• A Naturally Narrow Positive Parity Theta^+
• Exotic baryon multiplets at large number of colours
• Bound State versus Collective Coordinate Approaches in Chiral Soliton Models and the Width of the ${\Theta }^{+}$ Pentaquark
• Pentaquark baryons in SU(3) quark model
• On the Existence of Heavy Pentaquarks: The large Nc and Heavy Quark Limits and Beyond
• SU(3) Clebsch-Gordan Coefficients for Baryon-Meson Coupling at Arbitrary N_c
• Exotic baryons and the large-Nc expansion
• Magnetic Moment of The ${\Theta }^{+}$ Pentaquark State
• Estimate of the Theta+ width in the Relativistic Mean Field Approximation
• Theta^+ baryon production in KN and NN reactions
• The theta^+ baryon in soliton models: large Nc QCD and the validity of rigid-rotor quantization
• Properties of baryon anti-decuplet
• Heavy Pentaquarks
• Instanton induced quark dynamics and the pentaquark
• Pentaquarks: Review on Models and Solitonic Calculations of Antidecuplet Magnetic Moments
• Prospects for Pentaquark Production at Meson Factories
• Spin 3/2 Penta-quarks in anisotropic lattice QCD
• QCD sum rules for the anti-charmed pentaquark
• Triquark correlations and pentaquarks in a QCD sum rule approach
• Axial-vector transitions and strong decays of the baryon antidecuplet in the self-consistent SU(3) chiral quark-soliton model
• Investigating the parity of the exotic Theta^+ baryon from the kaon photoproduction
• Photoproduction of the Theta^+ resonance on the nucleon in a Regge model
• Spin asymmetries in gamma + N --> K*bar + Theta^+
• XYZ States: Theory Overview
• Pentaquark as Kaon-Nucleon Resonance
• Exotic baryons in two-dimensional QCD and the generalized sine-Gordon solitons
• Anti-charmed pentaquark from B decays
• Broken SU(3) antidecuplet for ${\Theta }^{+}$ and ${\Xi }_{3/2}$
• Heavy and Light Pentaquark Chiral Lagrangian
• The collective quantization of three-flavored Skyrmions revisited
• Phenomenological constraints on the Jaffe-Wilczek model of pentaquarks
• Flavored exotic multibaryons and hypernuclei in topological soliton models
• Exotic Baryons in Two-Dimensional QCD
• Mass spectrum of the J^P=1/2^- and 3/2^- pentaquark antidecuplets in the perturbative chiral quark model
• Baryon Spectrum in Large N(C) Chiral Soliton and in Quark Models
• A tale of two skyrmions: the nucleon's strange quark content in different large N_c limits
• Heavy baryons in the Skyrme model: the role of highly anharmonic collective motion
• Investigate the pentaquark resonance in the $NK$ system
• The quantization of exotic states in SU(3) soliton models: A solvable quantum mechanical analog
• Parity of Anti-Decuplet Baryons Revisited from Chiral Soliton Models
• Kaon-Soliton Bound State Approach to the Pentaquark States
• SU(3) constraints on cryptoexotic pentaquarks
• Electric properties of the baryon anti-decuplet in the SU(3) chiral quark-soliton model
• The 35-plet Baryons from Chiral Soliton Models
• Strange results from chiral soliton models
• Selected problems of baryons spectroscopy: chiral soliton versus quark models
• Stability of the rotating SU(3) Skyrmion
• On the Decay of Soliton Excitations