Instability of the hedgehog shape for the octet baryon in the chiral quark soliton model

Abstract

In this paper the stability of the hedgehog shape of the chiral soliton is studied for the octet baryon with the SU(3) chiral quark soliton model. The strangeness degrees of freedom are treated by a simplified bound-state approach, which omits the locality of the kaon wave function. The mean field approximation for the flavor rotation is applied to the model. The classical soliton changes shape according to the strangeness. The baryon appears as a rotational band of the combined system of the deformed soliton and the kaon.

Nonrigid chiral soliton for the octet and decuplet baryons

“…[14] for the various quantities. The chiral quark soliton model in the case of flavor SU(3) is given by the path integral with respect to the chiral meson fields and the quark fields [10,11,15].…”

“…For U γ5 0 , we assume the embedding of the SU(2) field to the SU(3) matrix but do not assume the hedgehog shape [14].…”

“…In the previous work [14], we studied these assumption for the octet baryons with the CQSM. To overcome the complexities of the self-consistent calculation for the nonrigid soliton and incorporate the interaction between the soliton and the collective motion, we introduced the physical and/or mathematical tools: the mean field approximation for the rotated system, the tensor operator Z JLSI KK3 (r) for the grand spin which is used to expand the chiral field, and the explicit form of the isospin vector of * Electronic address: akiyama@ph.noda.tus.ac.jp the chiral soliton with the quark states.…”

“…Therefore, in this article, we reformulate the collective Hamiltonian and improve the procedure of the collective quantization given in Ref. [14]. Furthermore, we introduce the Hartree approximation for the kaon to simplify the treatment of the particleantiparticle creation [14].…”

“…[14]. Furthermore, we introduce the Hartree approximation for the kaon to simplify the treatment of the particleantiparticle creation [14]. We apply these improved tools to the octet and decuplet baryons.…”