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- W2343526295 abstract "The mass spectra of the $[{bf 56, 2^+}]$ and $[{bf 70, ell+}]$ multiplets, both belonging to the $N$ = 2 band, is reviewed in the $1/N_c$ expansion method. Previous studies, separately made for each multiplet, are presently updated to the 2014 Particle Data Group. The mass formula including corrections up to $mathcal{O}(1/N_c)$ and first order in SU(3) flavor symmetry breaking, has the same independent operator basis in both cases. A special emphasis is made on the role of the SU(3) symmetry breaking operators $B_i$ $(i = 1,2,3)$. This can allow for multiplet assignment of $Lambda$ and $Sigma$ hyperons, which generally is quite difficult to make. Tentative assignments of hyperons with two- and one-star resonances are made to the $[{bf 70, ell+}]$ multiplet. Another important aim is to find out whether or not a common value of the coefficient $c_1$ of the dominant operator in the mass formula, can well fit the present data in both multiplets. A negative answer, which is here the case, implies distinct Regge trajectories for symmetric and mixed symmetric states." @default.
- W2343526295 created "2016-06-24" @default.
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- W2343526295 date "2016-05-05" @default.
- W2343526295 modified "2023-09-24" @default.
- W2343526295 title "Updated1/Ncexpansion analysis of[56,2+]and[70,ℓ+]baryon multiplets" @default.
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- W2343526295 doi "https://doi.org/10.1103/physrevd.93.096004" @default.
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