Baryon Spectrum in Large N(C) Chiral Soliton and in Quark Models

Abstract

Strangeness contents of baryons are calculated within rigid rotator model for arbitrary number of colors $N_c$. The problem of extrapolation to realistic value $N_c=3$ is noted, based on explicit calculations and comparison of rigid rotator and rigid oscillator variants of the model. Some features of exotic baryon spectra ($\{\overline{10}\},\{27\}$-and $\{35\}$-plets of baryons) obtained in the chiral soliton approach can be understood in terms of simplified quark $(4q\bar{q})$ wave functions. The effective mass of strange antiquark in different SU(3) multiplets of pentaquarks should depend on the particular multiplet, to link the predictions of soliton and quark models. The estimate of the $6_F$ and ${\bar{3}}_F$ diquarks mass difference can be made from comparison with chiral soliton model results for masses of exotic baryons from different SU(3)-multiplets. The masses of baryons partners with different values of spin $J$ are also estimated.

arXiv comment28 pages, 3 figures. Language and stylistic amendments, added references, misprints removed. Version prepared for Phys. Rev. D

References in corpus (43)

• Diquarks and Exotic Spectroscopy
• The 1/N Expansion for Baryons
• Observation of an Exotic S = -2, Q = -2 Baryon Resonance in Proton-Proton Collisions at the CERN SPS
• A Diquark-Triquark Model for the KN Pentaquark
• Femtometer Toroidal Structures in Nuclei
• Pentaquark in the Skyrme Model
• Chiral-Soliton Predictions for Exotic Baryons
• Experimental Search for Pentaquarks
• Z^* Resonances: Phenomenology and Models
• Radial excitations of low--lying baryons and the $Z^{+}$ penta--quark
• Is Theta+(1540) a Kaon--Skyrmion Resonance?
• Baryons as Three Flavor Solitons
• Exotic baryon states in topological soliton models
• Chiral soliton models, large N_c consistency and the Theta^+ exotic baryon
• Partners of the Theta^+ in Large N_c QCD
• Systematics of Exotic Cascade Decays
• The width of ${\Theta }^{+}$ for large $N_c$ in chiral quark soliton model
• Exotic baryon multiplets at large number of colours
• The $J=3/2$ ${\Theta }^{\ast }$ partner to the $\Theta (1540)$ baryon
• 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 Hyperfine Splittings of Strange Baryons in the Skyrme Model
• On the Existence of Heavy Pentaquarks: The large Nc and Heavy Quark Limits and Beyond
• Baryon Exotics in the Quark Model, the Skyrme Model and QCD
• Pentaquark Symmetries, Selection Rules and another potentially Narrow State
• Exotic baryons and the large-Nc expansion
• SU(3) Clebsch-Gordan Coefficients for Baryon-Meson Coupling at Arbitrary N_c
• The theta^+ baryon in soliton models: large Nc QCD and the validity of rigid-rotor quantization
• The 27-plet Baryons from Chiral Soliton Models
• Exotic Baryons and Monopole Excitations in a Chiral Soliton Model
• A Simple Description of Strange Dibaryons in the Skyrme Model
• SU(3) Baryon Resonance Multiplets in Large N_c QCD
• Flavoured multiskyrmions
• Resonances, and mechanisms of Theta-production
• Search for Higher Flavor Multiplets in Partial Wave Analyses
• A Mass Inequality for the ${\Xi }^{\ast }$ and ${\Theta }^{+}$ Pentaquarks
• Flavored exotic multibaryons and hypernuclei in topological soliton models
• Multibaryons with strangeness, charm and bottom
• Moments of inertia, nucleon axial-vector coupling, the {\bf 8}, {\bf 10}, $\overline{10}$ and ${27}_{3/2}$ mass spectrums and the higher SU(3)_f representation mass splittings in the Skyrme model
• The Chiral Soliton Model for Arbitrary Colors and Flavors
• Strangeness, charm and bottom in a chiral quark-meson model
• The 35-plet Baryons from Chiral Soliton Models
• The Skyrme model predictions for the ${27}_{J=3/2}$ mass spectrum and the ${27}_{3/2}$-$\overline{10}$ mass splittings

Cited by in corpus (3)

• Strange and Heavy Flavoured Hypernuclei in Chiral Soliton Models
• Positive parity pentaquark towers in large Nc QCD
• Selected problems of baryons spectroscopy: chiral soliton versus quark models