Reference : Negative parity baryons in the 1/N_c expansion : the quark excitation versus the meso...
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Physics
http://hdl.handle.net/2268/136859
Negative parity baryons in the 1/N_c expansion : the quark excitation versus the meson-nucleon resonance picture
English
Matagne, Nicolas mailto [Université de Mons - UMONS > physics > physique nucléaire et subnucléaire > >]
Stancu, Floarea mailto [Université de Liège - ULiège > Département d'astrophys., géophysique et océanographie (AGO) > Département d'astrophys., géophysique et océanographie (AGO) >]
2011
Physical Review. D, Particles and Fields
American Physical Society
84
056013
Yes
International
0556-2821
1089-4918
College Park
MD
[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.
http://hdl.handle.net/2268/136859
10.1103/PhysRevD.84.056013

File(s) associated to this reference

Fulltext file(s):

FileCommentaryVersionSizeAccess
Open access
1106.4992v2.pdfAuthor preprint181.24 kBView/Open

Bookmark and Share SFX Query

All documents in ORBi are protected by a user license.