Reference : Group theoretical study of nonstrange and strange mixed symmetric baryon states [Nc-1...
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Physics
http://hdl.handle.net/2268/83028
Group theoretical study of nonstrange and strange mixed symmetric baryon states [Nc-1,1] in the 1/Nc expansion
English
Matagne, Nicolas [ > > ]
Stancu, Floarea mailto [Université de Liège - ULiège > Département d'astrophys., géophysique et océanographie (AGO) > Département d'astrophys., géophysique et océanographie (AGO) >]
2010
Physical Review. D, Particles and Fields
American Physical Society
81
116002(1-10)
Yes
International
0556-2821
1089-4918
College Park
MD
[en] Using group theory arguments we extend and complete our previous work by deriving all SU(6) exact wave functions associated with the spectrum of mixed symmetric baryon states [Nc-1,1] in the 1/Nc expansion. The extension to SU(6) enables us to study the mass spectra of both strange and nonstrange baryons, while previous work was restricted to nonstrange baryons described by SU(4). The wave functions are specially written in a form to allow a comparison with the approximate, customarily used wave functions, where the system is separated into a ground state core and an excited quark. We show that the matrix elements of the flavor operator calculated with the exact wave functions acquire the same asymptotic form at large Nc, irrespective of the spin-flavor multiplet contained in [Nc-1,1], while with the approximate wave function one cannot obtain a similar behavior. The isoscalar factors of the permutation group of Nc particles derived here can be used in any problem where a given fermion system is described by the partition [Nc-1,1], and one fermion has to be separated from the rest.
http://hdl.handle.net/2268/83028
10.1103/PhysRevD.81.116002

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