Reference : Negative parity baryons in the 1/Nc expansion: the three towers of states revisited.
 Document type : Scientific journals : Article Discipline(s) : Physical, chemical, mathematical & earth Sciences : Physics To cite this reference: http://hdl.handle.net/2268/137526
 Title : Negative parity baryons in the 1/Nc expansion: the three towers of states revisited. Language : English Author, co-author : Matagne, Nicolas [University of Mons > > 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 : 4-Oct-2012 Journal title : Physical Review. D, Particles and Fields Publisher : American Physical Society Volume : D86 Special issue title : Negative parity baryons in the 1/Nc expansion: the three towers of states revisited. Pages : 076007 Peer reviewed : Yes Audience : International ISSN : 0556-2821 e-ISSN : 1089-4918 City : College Park Country : MD Abstract : [en] We discuss the compatibility between the quark-shell picture and the meson-nucleon scattering picture in large $N_c$ QCD for mixed symmetric $\ell$ = 1 states previously analyzed by using a simple Hamiltonian including operators up to order $\mathcal{O}(N^0_c)$ defined in the standard ground state symmetric core + excited quark procedure. Here we introduce a Hamiltonian of order $\mathcal{O}(N^0_c)$ defined in a new approach where the separation of the system into two parts is not required. Three degenerate sets of states (towers) with the same quantum numbers as in the scattering picture and in the standard procedure are obtained. Thus the compatibility is equally achieved. The eigenvalues of the presently chosen Hamiltonian also have simple analytic expressions, depending linearly on the three dynamical coefficients entering the Hamiltonian. This reinforces the validity of the new approach which had already successfully described excited negative parity baryons in a large energy range. Permalink : http://hdl.handle.net/2268/137526

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