Narrow Results

In this work we use a mapping technique to derive in the context of a constituent gluon model an effective Hamiltonian that involves explicit gluon degrees of freedom. We study glueballs with two gluons using the Fock-Tani formalism. In the present work we calculate the glueball-glueball potential, in the context of the constituent gluon model, with gluon interchange.

In the last years many exotic states have been identified in several colliders around the world. One of the exotic states provided in QCD is the glueball. Using a non-relativistic gluon bound-state model, we compute $\mathrm{\Gamma }(G\to \gamma \gamma )$, where $G$ is a pseudoscalar, tensor, or scalar digluon. For the starting from the amplitudes we considers the process $\gamma \gamma \to g^{\ast }{g}^{\ast }$ at threshold, where the amplitudes are obtained in perturbative QCD at lowest order by deriving them from QED calculation and the $g^{\ast }$s are massive constituent gluons. In this calculation the unknown parameters of the model, such as the digluon wave function, are obtained using measured values of $\mathrm{\Gamma }(J/\mathrm{\Psi }\to G\gamma )$. Our theorical results are compared with the present experimental limits for the various glueballs candidates.

In this work we have obtained an effective Hamiltonian to describe the strong decay of pseudoscalar glueball, where the microscopic interaction between the constituent gluons have been taking into account. The pseudoscalar glueball candidate we have considered here is the $X(1835)$ resonance. In our calculation the $X(1835)$ was a pure glueball.

BESIII has collected $1.3\times 10^{8}J/\psi$ and $0.4\times 10^8$ of ${\psi }^{\prime }$, which are the world’s largest data samples of $J/\psi$ and ${\psi }^{\prime }$ from $e^{+}{e}^{-}$ collision. Radiative decays of charmonium provide a gluon-rich environment and are therefore regarded as one of the most promising hunting grounds for gluonic excitations. Significant progresses in the light-quark sector have been made with the unprecedented high statistics data sets. Several recent results on light hadron spectroscopy and light hadron decays will be reported, including: 1, the observation of the anomalous line shape of $X(1835)$ near $p\bar{p}$ mass threshold and related studies; 2, studies of glueballs in $J/\psi$ radiative decays; 3, search for $1^{-+}$ exotic in ${\chi }_{c1}\to \eta \pi \pi$.