The mixing of the f0(1370), f0(1500) and f0(1710) and the search for the scalar glueball

Meson Resonances in Proton-Antiproton Annihilation

“…These results inpp, γγ and central collisions strengthen the interpretation of the f 0 (1500) as a glueball, or as a state with a large gluonic admixture in its wave-function 6,21 : since f 0 (1500) does not couple strongly to KK it absence in γγ → K S K S is not surprising. However, the ALEPH collaboration, studying the reaction γγ → π + π − , observes f 2 (1270) but not f 0 (1500) 22 .…”

Hadronic and radiative three-body decays ofJ/ψinvolving the scalarsf0(1370),

“…The idea that a glueball configuration is present in the scalar meson spectrum was suggested in [1] and later extensively used as for example in Refs. [2][3][4][5][6]. The discussion on possible evidence for the scalar ground state glueball has dominantly centered on the scalar-isoscalar resonances f 0 (1500) and f 0 (1710).…”

“…Thereby several analyses conclude that the three scalar states f 0 (1370), f 0 (1500) and f 0 (1710) result from a mixing of the glueball with the nn = 1/2 (uū + dd) and ss states of the scalar 3 P 0 quarkonium nonet. Furthermore, the nonappearance or the strength of the appearance of these scalar states in γγ or in central pp collisions have been argued to give further signals for a possible quantification of the glueball component residing in the scalars [2][3][4][5][6]. A study of the strong and radiative three-body decays of J/ψ with J/ψ → V + P P (γγ) and J/ψ → γ + P P (V V ), where V and P are vector and pseudoscalar mesons, opens a further opportunity to test the nature of the scalar mesons f 0 (1370), f 0 (1500) and f 0 (1710).…”

PROBING SCALAR MESON STRUCTURES IN χc1 DECAYS INTO PSEUDOSCALAR AND SCALAR

“…We adopt β = 0.5 GeV, which is commonly adopted in the literature [5][6][7][8]. At leading order the decays of χ c1 → P S are via P -wave, i.e.…”