Publisher’s Note: Ground-state scalarq¯qnonet: SU(3) mass splittings and strong, electromagnetic, and weak decay rates [Phys. Rev. D69, 014010 (2004)]

Abstract

By comparing SU (3)-breaking scales of linear mass formulae, it is shown that the lowest vector and scalar mesons all have aqq configuration, while the ground-state octet and decuplet baryons are qqq. Also, the quark-level linear σ model is employed to predict similarqq and qqq states. Furthermore, the approximate mass degeneracy of the scalar a0(985) and f0 (980) mesons is demonstrated to be accidental. Finally, it is shown that various strong, electromagnetic, and weak mesonic decay rates are successfully explained within the framework of the quark-level linear σ model.

Properties of the πη, $ \eta{^\prime}$ ,σ, f0(980) and a0(980) mesons and their relevance for the polarizabilities of the nucleon

“…This coupling is known to be also responsible for a major portion of the meson mass [8][9][10][11]. The quantum numbers given in (14) and (15) are in line with the fact that pseudoscalar mesons decay into two photons with perpendicular planes of linear polarization whereas scalar mesons decay into two photons with parallel planes of linear polarization [12].…”

“…Eqs. (14) and (15) suggest that the flavor parts of the wave functions may have very similar properties in case of the pseudoscalar and scalar mesons, whereas the angular momentum parts are different. For pseudoscalar mesons we have S = 0, L = 0, J = 0 and for scalar mesons S = 1, L = 1, J = 0.…”

Classification of the Scalar Mesons: A Strange Pole Expedition Into Charm and Beauty Territory

“…The isotriplet a 0 (980) and isosinglet f 0 (980) resonances, in πη and ππ S-wave scattering, respectively, are experimentally well established, but their classification in terms of quasi-bound systems of quarks and antiquarks is still far from agreed upon. Possible interpretations run from qq [6][7][8][9] and q 2q2 [10] states, to molecules of meson pairs [11], whereas mixtures of such configurations are also considered [12][13][14][15].…”

Compton scattering by the nucleon

“…This result has to be compared with the expectation that the σ meson probably has a twocomponent structure with |ππ being the one component and |qq being the other [29].…”