Scalar and tensor resonances in $$J/\psi $$ J / ψ radiative decays

Abstract

Abstract We perform a systematic analysis of the $$J/\psi \rightarrow \gamma \pi ^0\pi ^0$$ J / ψ → γ π 0 π 0 and $$\rightarrow \gamma K_S^0 K_S^0$$ → γ K S 0 K S 0 partial waves measured by BESIII. We use a large set of amplitude parametrizations to reduce the model bias. We determine the physical properties of seven scalar and tensor resonances in the 1– $$2.5 \, {\mathrm {GeV}} $$ 2.5 GeV mass range. These include the well known $$f_0(1500)$$ f 0 ( 1500 ) and $$f_0(1710)$$ f 0 ( 1710 ) , that are considered to be the primary glueball candidates. The hierarchy of resonance couplings determined from this analysis favors the latter as the one with the largest glueball component.