A new approach to the SU(3) Skyrme model

On the strange vector form factors of the nucleon in the NJL soliton model

“…The resulting collective Hamiltonian H = H(R; R a ) can be diagonalized exactly. For details we refer to the literature [16,6,17]. Here we only wish to mention that due to SU(3) symmetry breaking the eigenfunctions of H are distorted SU(3) D{functions.…”

“…In addition, it contains soliton solutions [13] in the two avor subspace which may be identi ed as baryons a . The so{called collective approach [15,16] allows one to incorporate strange degrees of freedom. Its application within the NJL model [17,18] provides an appealing possibility to explore the matrix elements of the strange vector current.…”

Hyperfine splittings of strange baryons in the Skyrme model

“…It is hoped that this problem has more to do with the relatively large strange quark mass than with defects in the Skyrme model itself [12,13,14,15,16]. The Skyrme lagrangian may be treated under the rigid rotator approximation with the number of colors N fixed to 3, but this does not work well.…”

Flavor symmetry breaking effects on the SU(3) Skyrmion

“…Firstly, the SU(3) cranking method exploits rigid rotation of the Skyrmion in the collective space of SU(3) Euler angles with full diagonalization of the flavor symmetry breaking (FSB) terms [5]. Especially, Yabu and Ando [6] proposed the exact diagonalization of the symmetry breaking terms by introducing higher irreducible representation mixing in the baryon wave function, which was later interpreted in terms of the multiquark structure [7] in the baryon wave function. Secondly, Callan and Klebanov [8] suggested an interpretation of baryons containing a heavy quark as bound states of solitons of the pion chiral Lagrangian with mesons.…”