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.

arXiv comment12 pages, 7 tables, to be published in Nuclear Physics A

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Cited by in corpus (18)

• Light flavor baryon spectrum with higher order hyperfine interactions
• Spin contribution to light baryons in different large-$N$ limits
• Baryon resonances in large $N_c$ QCD
• SU(6) $[70,1^{-}]$ baryon multiplet in the $1/N_c$ expansion
• Matrix elements of SU(6) generators for baryons with arbitrary $N_c$ quarks in mixed symmetric states $[N_c-1,1]$
• Highly excited negative parity baryons in the $1/N_c$ expansion
• The Isgur-Karl model revisited
• Updated $1/N_c$ expansion analysis of $[56,2^{+}]$ and $[70,{\mathbf{\ell }}^{+}]$ baryon multiplets
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• Negative parity baryons in the $1/N_c$ expansion: the three towers of states revisited
• Pion Electroproduction Amplitude Relations in the 1/N_c Expansion
• Group Theoretical Analysis of the Wave Function of the $[70,1^{-}]$ Nonstrange Baryons in the $1/N_c$ Expansion
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• The $[70,1^{-}]$ baryon multiplet in the $1/N_c$ expansion revisited
• Permutation group S_N and hadron spectroscopy
• SU(3) flavor symmetry breaking in large $N_c$ excited hyperons