The $[{\bf 70},1^-]$ baryon multiplet in the $1/N_c$ expansion revisited
Abstract
Description
The mass splittings of the baryons belonging to the $[{\bf 70},1^-]$-plet are derived by using a simple group theoretical approach to the matrix elements of the mass formula. The basic conclusion is that the first order correction to the baryon masses is of order $1/N_c$ instead of order $N^0_c$, as previously found. The conceptual difference between the ground state and the excited states is therefore removed.
Presented by N. Matagne at the 7th International Conference on Quark Confinement and Hadron Spectrum (QCHS7), September 2-7 2006, Ponta Delgada, Azores, Portugal, 4 pages, 2 tables, LaTeX, uses aip-6s.clo, aipproc.cls and aipxfm.sty (included)
Presented by N. Matagne at the 7th International Conference on Quark Confinement and Hadron Spectrum (QCHS7), September 2-7 2006, Ponta Delgada, Azores, Portugal, 4 pages, 2 tables, LaTeX, uses aip-6s.clo, aipproc.cls and aipxfm.sty (included)