$[70,{\mathbf{\ell }}^{+}]$ baryons in large $N_c$ QCD revisited: The effect on Regge trajectories

Abstract

A simple procedure within the $1/N_c$ expansion method where all the $N_c$ quarks are treated on the same footing has been found successful in describing mixed symmetric negative parity baryon states belonging to the $[70,{\ell }^{-}]$ multiplets %with $\ell$ = 1, 2 or 3. of the $N$ = 1 and 3 bands. Presently it is applied to mixed symmetric positive parity $[70,0^{+}]$ and $[70,2^{+}]$ multiplets of the $N$ = 2 band. We search for the most dominant terms in the mass formula. The results are compared to those obtained in the procedure where the system is separated into a core and an excited quark. We find that both the spin and isospin operators of the entire system of $N_c$ quarks play dominant roles in describing the data, like for negative parity states. As a by-product we present the contribution of the leading spin-isospin singlet term as a function of the band number, which hints at distinct Regge trajectories for the symmetric and mixed symmetric states.

18 pages, title slightly changed by the Physical Review D Editor

References in corpus (14)

• Linear Confinement and AdS/QCD
• Extended Partial-Wave Analysis of piN Scattering Data
• Properties of baryon resonances from a multichannel partial wave analysis
• Masses of $[70,{\ell }^{+}]$ Baryons in the $1/N_c$ Expansion
• Baryonic mass formula in large $N_c$ QCD versus quark model
• Evidence for a spin-quartet of nucleon resonances at 2\,GeV
• New look at the $[70,1^{-}]$ baryon multiplet in the $1/N_c$ expansion
• The permutation group S_N and large Nc excited baryons
• Baryon Regge Trajectories in the Light of the $1/N_c$ Expansion
• Mass formula for strange baryons in large $N_c$ QCD versus quark model
• SU(6) $[70,1^{-}]$ baryon multiplet in the $1/N_c$ expansion
• Highly excited negative parity baryons in the $1/N_c$ expansion
• Negative parity baryons in the $1/N_c$ expansion: the quark excitation versus the meson-nucleon resonance picture
• Negative parity baryons in the $1/N_c$ expansion: the three towers of states revisited

Cited by in corpus (4)

• Baryon resonances in large $N_c$ QCD
• Many-quark interactions: Large-$N$ scaling and contribution to baryon masses
• Updated $1/N_c$ expansion analysis of $[56,2^{+}]$ and $[70,{\mathbf{\ell }}^{+}]$ baryon multiplets
• SU(3) flavor symmetry breaking in large $N_c$ excited hyperons