Analysis of the $[{\bf 56},4^+]$ Baryon Masses in the $1/N_c$ Expansion
Abstract
Description
We use the $1/N_c$ expansion of QCD to analyze the spectrum of positive parity resonances with strangeness $S = 0, -1, -2$ and -3 in the 2--3 GeV mass region, supposed to belong to the $[\textbf{56},4^+]$ multiplet. We find that the spin-spin term brings the dominant contribution and that the spin-orbit term is entirely negligible in the hyperfine interaction, in agreement with constituent quark model results. More data are strongly desirable, especially in the strange sector in order to fully exploit the power of this approach.
5 pages, 3 figures, Presented at the JJC2004 -Journees Jeunes Chercheurs-, ile de Berder, France, 28 November-3 December 2004. One reference added
5 pages, 3 figures, Presented at the JJC2004 -Journees Jeunes Chercheurs-, ile de Berder, France, 28 November-3 December 2004. One reference added