Partial Wave Analysis Of ψ(3686)and J/ψ�'γη’K~+K~-

Exclusive heavy quarkonium decays provide an important laboratory for investi-gating perturbative Quantum Chromodynamics (pQCD). Compared to J/ψ and ψ(3686) decays, relatively little is known concerning XcJ and ηc decays. Although these XcJ and ηc states are not directly produced in e+e-collisions, they are produced copious-ly in ψ(3686) and J/ψ transitions. The large ψ(3686) and J/ψ data sample taken with the Beijing Spectrometer (BESIII) located at the Beijing Electron-Positron Collid-er (BEPCII) provides an opportunity for a detailed study of χcJ and ηc decays.The QCD theory allows the existence of glueballs, and the glueballs are expected to mix strongly with nearby conventional qq states. By tagging the final state pseudoscalar mesons P, the decay Xcl�'PS is expected to be sensitive to the quark components of the final-state light mesons, and can be used in testing the glueball-qq mixing relations among the scalar mesons S, i.e.f0(1370),f0(1500),f0(1710)..It’s believed that the radiative J/i/ψ decay is ideally suited to scan for glueballs in the mass region up to3GeV. J/ψ�'γη’π+π-has been measured in BESII, a new reso-nance X(1835) was observed which is an candidate for the glueball. J/ψ�'γη’K+K-has never been studied. Because of the mass threshold, resonances on m(η’K+K-) spectrum with higher mass are expected.The K0*(1430) state is perhaps the least controversial of the light scalar isobar meson. Its properties are still interesting since it is highly related to the lineshape of the controversial κ meson (KπS-wave scattering at mass threshold) in various studies. By now, the K0*(1430) state is observed in K0*(1430)-Kπ only, and is expected to couple to η’K final state. χcl/ηc�'η’K+K-is the most hopeful channels to search for K0*(1430)and study its properties.χc0,2�'K0*±(1430)K(?) are forbidden by spin-parity conservation.In this paper with η’�'γρ0and η’�'ηπ+π-,we present analysis of χxJ�'η’K+K-(J=1,2),J/ψ�'γη’K+K-and ηc�'η’K+K-.Their branching frac-tions are first measured.A partial wave analysis(PWA)with covariant tensor ampli-tude is performed for χcl�'η’K+K-and η’K÷K-.The following process χcl�'K0*(1430)K,χcl�'η’f0如(980)/f2(1525)/f0(1710),ηc�'η’f0(980)/f0(1710), ηc�'K0*(1555)K are observed and their branching fractions are measured。The mea-surement of these processes improves our understanding of the corresponding mesons, and provide more proof for the identifying and searching of glueball.