Possible Classification of the Chiral Scalar σ-Nonet | Zendy

Muneyuki Ishida | Zendy

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Possible Classification of the Chiral Scalar σ-Nonet

Author(s) -

Muneyuki Ishida

Publication year - 1999

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.101.661

Subject(s) - physics , scalar (mathematics) , singlet state , octet , particle physics , scalar boson , chiral symmetry , quantum mechanics , boson , meson , excited state , quark , geometry , mathematics

We recently observed the iso-singlet scalar sigma(600)-particle and theiso-doublet scalar kappa(900)-particle, through the re-analyses of pi pi- and Kpi-scattering phase shifts, respectively. First, assuming the two iso-singletstates, the sigma(600) and the established f0(980), being the ideal mixingstates n n and s s, respectively, of a single scalar nonet, it is pointed outthat the mass value of the iso-singlet flavor-octet state, obtained from theorthogonal transformation, satisfies, together with the kappa(900) and theiso-triplet scalar a0(980)-particle, the Gell-Mann Okubo mass-formula.Furthermore, it is argued that, by investigating their properties of masses andwidths, this scalar sigma-nonet, together with the pseudo-scalar pi-nonet,realizes the linear representation of SU(3) chiral symmetry.Comment: 9 pages, 1 Postscript figure, uses ptptex.st

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