Article (Scientific journals)
Negative parity baryons in the 1/N_c expansion : the quark excitation versus the meson-nucleon resonance picture
Matagne, Nicolas; Stancu, Floarea
2011In Physical Review. D, Particles and Fields, 84, p. 056013
Peer reviewed
 

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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.
Disciplines :
Physics
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)
Language :
English
Title :
Negative parity baryons in the 1/N_c expansion : the quark excitation versus the meson-nucleon resonance picture
Publication date :
2011
Journal title :
Physical Review. D, Particles and Fields
ISSN :
0556-2821
eISSN :
1089-4918
Publisher :
American Physical Society, College Park, United States - Maryland
Volume :
84
Pages :
056013
Peer reviewed :
Peer reviewed
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