New look at the $[70,1^{-}]$ baryon multiplet in the $1/N_c$ expansion

Abstract

So far, the masses of excited states of mixed orbital symmetry and in particular those of nonstrange $[70,1^{-}]$ baryons derived in the $1/N_c$ expansion were based on the separation of a system of $N_c$ quarks into a symmetric core and an excited quark. Here we avoid this separation and show that an advantage of this new approach is to substantially reduce the number of linearly independent operators entering the mass formula. A novelty is that the isospin-isospin term becomes as dominant in $\Delta$ as the spin-spin term in $N$ resonances.

12 pages, 7 tables, to be published in Nuclear Physics A

References in corpus (4)

• Masses of $[70,{\ell }^{+}]$ Baryons in the $1/N_c$ Expansion
• Matrix Elements of SU(6) Generators for Baryons at Arbitrary $N_c$
• Analysis of Negative Parity Baryon Photoproduction Amplitudes in the $1/N_c$ Expansion
• Baryon resonances in large N_c QCD

Cited by in corpus (6)

• Group Theoretical Analysis of the Wave Function of the $[70,1^{-}]$ Nonstrange Baryons in the $1/N_c$ Expansion
• Pion Electroproduction Amplitude Relations in the 1/N_c Expansion
• Excited Baryons in Large Nc QCD: Matching the 1/Nc expansion to quark models using the permutation group S_N
• Permutation group S_N and hadron spectroscopy
• The $[70,1^{-}]$ baryon multiplet in the $1/N_c$ expansion revisited
• Excited $[70,{\ell }^{+}]$ baryon resonances in large $N_c$ QCD