The study of strong interactions and hadron matter in the process of antiproton-proton annihilation seems to be a challenge nowadays. The research of charmonium cc\bar , charmed hybrid cc\bar g and tetraquark cq(cq\prime)\bar ( q, and q\prime = u, d, s) spectra and their main characteristics (mass, width, branching ratio) in experiments using high quality antiproton beam with momentum up to 15 GeV/c, is promising to understand the dynamics of quark interactions at small distances. Charmonium and exotics spectroscopy is a good testing tool for the theories of strong interactions: QCD in perturbative and non-perturbative regimes, LQCD, QCD inspired potential models and phenomenological models.
Nowadays the scalar 1P1, 1D2 and vector 3PJ, 3DJ charmonium states and higher laying scalar 1S0 and vector 3S1 charmonium states are poorly investigated. The domain above threshold is badly studied. According to the contemporary quark models namely in this domain, the existence of charmed hybrids with exotic (JPC = 0--, 0+-, 1-+, 2+-, 3-+) and non-exotic (JPC=0-+, 1+-, 2-+, 1++, 1--, 2--, 2++, 3+-) quantum numbers and tetraquarks is expected [1 - 4]. A prediction that distinguishes tetraquark states containing a cc\bar pair from conventional charmonia is possible existence of multiplets which include members with non-zero charge cu(cd)\bar , strangeness cd(cs)\bar , or both cu(cs)\bar .
The detailed analysis of the spectrum of charmonium, charmed hybrids and tetraquarks with hidden charm and strangeness was carried out, and attempts to interpret a great quantity of experimental data above the DD\bar threshold were considered. New higher lying states of charmonium, charmed hybrids and tetraquarks are expected to exist in the mass region above the DD\bar threshold. But much more data on different decay modes are needed for deeper analysis. These data can be derived directly from the experiments with high quality antiproton beam.
A special attention is given to the new XYZ states with hidden charm discovered recently [3 - 6]. Their interpretation is far from being obvious nowadays [2 - 4]. The experimental data from different collaborations like BES, Belle, BaBar, LHCb, CLEO, CDF were carefully studied. Some of these states can be interpreted as charmonium [7, 8] and tetraquarks [9, 10] in the framework of the combined approach proposed earlier [11, 12]. It has been shown that charge/neutral tetraquarks must have neutral/charge partners with mass values which differ by few tens of MeV. This treatment coincides with hypothesis proposed by Maiani and Polosa [13, 14]. It seems to be a promising approach and needs to be carefully verified in experiments using high quality antiproton beam with momentum ranging up to 15 GeV/c.
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