A new look at the baryon multiplet in the expansion

Group theoretical study of nonstrange and strange mixed symmetric baryon states[Nc−1,1]in the1/NMatagne1, Stancu2 2010Phys. Rev. DSelf Cite2010View full textAdd to dashboardCite

“…[27] in a single formula, which shows that the matrix elements of the isospin operator are order 1/N c , as expected.…”

“…Actually it would be simpler and more physically to consider the full Casimir operator T 2 of SU (3) instead of independent t · T c and T 2 c operators. Such a procedure was used in SU(4) [27] for …”

“…where the subtracted term, 1 12 N c (N c + 6), appears in the Casimir expectation value of all irreducible representations of SU (3) [27]. Indeed, from the expectation value of the first term with f = 0 in Eq.…”

“…From the studies we perfomed on the [70, ℓ + ] multiplet, we understood that a simpler procedure can as correctly be used, where no quark is decoupled from the system, all identical quarks being treated on the same footing, with an exact wave function in the orbital-flavorspin space [27]. We found out that the key to the problem was the knowledge of the matrix elements of all SU(2N f ) generators, S i , T a and G ia for mixed symmetric states [N c − 1, 1].…”

“…[27] for SU (4), where it was shown that the isospin term, neglected in the standard procedure, becomes as dominant in ∆ as the spin term in N resonances. As a first physical application of this work, where we extend our procedure to SU(6) we ask again the question why the operator 1 N c t · T c , as well as T 2 c were avoided in previous numerical fits in SU(6) [24].…”