Quark-gluonium content of the scalar-isoscalar states f0(980), f0(1300), f0(1500), f0(1750), and f0(1420−70+150) from hadronic decays

AbstractOn the basis of the decay couplings f0 → ππ, K $$\bar K$$ , ηη, ηη′ found earlier in the study of analytical (IJPC=00++) amplitude in the mass range 450–1900 MeV, we analyze the quark-gluonium content of the resonances f0(980), f0(1300), f0(1500), and f0(1750) and the broad state f0(1420−70+150). The K-matrix technique used in the analysis makes it possible to evaluate the quark-gluonium content both for the states with switched-off decay channels (bare states, f0bare) and for the real resonances. We observe a significant change in the quark-gluonium composition in the evolution from bare states to real resonances, which is due to the mixing of states in the transitions f0(m1) → real mesons → f0 (m2) responsible for the decay processes as well. For f0(980), the analysis confirmed the dominance of q $$\bar q$$ component, thus proving the n $$\bar n$$ /s $$\bar s$$ composition found in the study of the radiative decays. For the mesons f0(1300), f0(1500), and f0(1750), the hadronic decays do not allow one to determine uniquely the n $$\bar n$$ , s $$\bar s$$ , and gluonium components, providing relative percentage only. The analysis shows that the broad state f0(1420−70+150) can mix with the flavor singlet q $$\bar q$$ component only, which is consistent with gluonium origin of the broad resonance.