Reference : Negative parity baryons in the 1/N_c expansion : the quark excitation versus the meso...
 Document type : Scientific journals : Article Discipline(s) : Physical, chemical, mathematical & earth Sciences : Physics To cite this reference: http://hdl.handle.net/2268/136859
 Title : Negative parity baryons in the 1/N_c expansion : the quark excitation versus the meson-nucleon resonance picture Language : English Author, co-author : Matagne, Nicolas [Université de Mons - UMONS > physics > physique nucléaire et subnucléaire > >] Stancu, Floarea [Université de Liège - ULiège > Département d'astrophys., géophysique et océanographie (AGO) > Département d'astrophys., géophysique et océanographie (AGO) >] Publication date : 2011 Journal title : Physical Review. D, Particles and Fields Publisher : American Physical Society Volume : 84 Pages : 056013 Peer reviewed : Yes Audience : International ISSN : 0556-2821 e-ISSN : 1089-4918 City : College Park Country : MD Abstract : [en] In order to better understand the fundamental issue regarding the compatibility between the quark-shell picture and that of resonances in meson-nucleon scattering in large $N_c$ QCD we extend the work of Cohen and Lebed on mixed symmetric $\ell$ = 1 baryons to analyze excited states with $\ell$ = 3. We give an explicit proof on the degeneracy of mass eigenvalues of a simple Hamiltonian including operators up to order $\mathcal{O}(N^0_c)$ \emph{i. e.} neglecting $1/N_c$ corrections in the quark-shell picture in the large $N_c$ limit. We obtain three degenerate multiplets formed of $\ell = 3$ states, as in the case of $\ell$ = 1 baryons. The compatibility between this picture and that of resonances in meson-nucleon scattering is discussed in the light of the present results. Permalink : http://hdl.handle.net/2268/136859 DOI : 10.1103/PhysRevD.84.056013

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