Mass formula for strange baryons in large $N_c$ QCD versus quark model

Abstract

A previous work establishing a connection between a quark model, with relativistic kinematics and a $Y$-confinement plus one gluon exchange, and the $1/N_c$ expansion mass formula is extended to strange baryons. Both methods predict values for the SU(3)-breaking mass terms which are in good agreement with each other. Strange and nonstrange baryons are shown to exhibit Regge trajectories with an equal slope, but with an intercept depending on the strangeness. Both approaches agree on the value of the slope and of the intercept and on the existence of a single good quantum number labeling the baryons within a given Regge trajectory.

2 figures

References in corpus (25)

• The Cosmological Parameters 2006
• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• QCD forces and heavy quark bound states
• The 1/N Expansion for Baryons
• Baryon-Pion Couplings from Large-N QCD
• Spin-Flavor Structure of Large N Baryons
• 1/N Corrections to the Baryon Axial Currents in QCD
• Nonperturbative corrections to the quark self-energy
• Negative Parity 70-plet Baryon Masses in the 1/Nc Expansion
• Large-N_c Baryons
• Analysis of the [56,2^+] Baryon Masses in the 1/Nc Expansion
• Light-meson orbital excitations in the QCD string approach
• The $[56,4^{+}]$ baryons in the $1/N_c$ expansion
• Determination of Alpha_s(1 GeV) from the charmonium fine structure
• Masses of $[70,{\ell }^{+}]$ Baryons in the $1/N_c$ Expansion
• Baryonic mass formula in large $N_c$ QCD versus quark model
• Auxiliary fields and hadron dynamics
• Weyl symmetric representation of hadronic flux tubes in the dual Ginzburg-Landau theory
• The quark-gluon Mixed Condensate calculated via Field Correlators
• The baryonic Y-shape confining potential energy and its approximants
• Meson and glueball spectra with the relativistic flux tube model
• Hybrid mesons and auxiliary fields
• Quark self-energy and relativistic flux tube model
• Baryon Regge Trajectories in the Light of the $1/N_c$ Expansion
• Covariant oscillator quark model for glueballs and baryons

Cited by in corpus (12)

• The quantum N-body problem and the auxiliary field method
• Spin contribution to light baryons in different large-$N$ limits
• Light baryon masses in different large-$N_c$ limits
• Baryon resonances in large $N_c$ QCD
• The auxiliary field method in quantum mechanics
• Charm and bottom baryon masses in the combined $1/N_c$ and $1/m_Q$ expansion versus quark model
• The wave function of $[70,1^{-}]$ baryons in the $1/N_c$ expansion
• 1/Nc expansion and the spin-flavor structure of the quark interaction in the constituent quark model
• Updated $1/N_c$ expansion analysis of $[56,2^{+}]$ and $[70,{\mathbf{\ell }}^{+}]$ baryon multiplets
• $[70,{\mathbf{\ell }}^{+}]$ baryons in large $N_c$ QCD revisited: The effect on Regge trajectories
• Accuracy Tests of the Envelope Theory
• Comparative analysis of large Nc QCD and quark model approaches to baryons