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Recent BESIII data indicate a significant rate of the process e+e- →hc π+ π- at the Y(4260) and Y(4360) resonances, implying a substantial breaking of the heavy quark spin symmetry. We consider these resonances within the picture of hadrocharmonium, i.e. of (relatively) compact charmonium embedded in a light-quark mesonic excitation. We suggest that the resonances Y(4260) and Y(4360) are a mixture, with mixing close to maximal, of two states of hadrochamonium, one containing a spin-triplet pair and the other containing a spin-singlet heavy quark pair. We argue that this model is in a reasonable agreement with the available data and produces distinctive and verifiable predictions for the energy dependence of the production rate in e+e- annihilation of the final states J/ψππ, ψ′ππ and hc ππ, including the pattern of interference between the two resonances.
In this paper, we apply the method of QCD sum rules to study the doubly heavy tetraquark states QQˉqˉn with spin-parity JP=1+ and strangeness S=0,−1 using careful estimates of the Borel and threshold parameters involved. Masses of the doubly bottom and charmed tetraquarks with isospin I=0,1/2,1 are computed precisely via taking into account multifarious condensates up to dimension 10. Compared with the two-heavy meson thresholds, we find that all nonstrange doubly-bottom tetraquarks and a doubly-charmed tetraquarks associated with J3 with JP=1+ are stable against strong decay into two bottom mesons while a doubly-charmed tetraquark associated with current J2 is unstable against strong decay. By the way, weak decay widths of the doubly bottom tetraquarks are also given.