Abstract
We perform a systematic analysis of the J/psi rightarrow gamma pi ^0pi ^0 and rightarrow gamma 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}} mass range. These include the well known f_0(1500) and 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.
Highlights
The vast majority of observed mesons can be understood as simple qqbound states, in principle strong interactions permit a more complex spectrum
The mass we find for the f0(1710) is considerably larger than the Particle Data Group (PDG) average, it is still compatible with many of the determinations listed in the PDG
It is worth noting that our poles are compatible with the ones on the BESIII J/ψ → γ ηη decay [44], even if we do not include this channel
Summary
The vast majority of observed mesons can be understood as simple qqbound states, in principle strong interactions permit a more complex spectrum. In a pure Yang–Mills theory, massive gluon bound states (named “glueballs”) populate the spectrum, as shown for example in lattice calculations. The lightest glueball is expected to have J PC = 0++, and a mass between 1.5 and 2 GeV [1,2,3,4,5,6,7,8,9]. An enhanced glueball production is expected in OZI–suppressed processes, i.e
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