QCD sum rule calculation for the charmonium-like structures in the J/psi phi and J/psi omega invariant mass spectra

preprint2011arXivOpen access

Abstract

Using the QCD sum rules we test if the charmonium-like structure Y(4274), observed in the J/ψϕJ/ψϕ invariant mass spectrum, can be described with a DsDˉs0(2317)+h.c.D_s\bar{D}_{s0}(2317)+h.c. molecular current with JPC=0−+J^{PC}=0^{-+}. We consider the contributions of condensates up to dimension ten and we work at leading order in αsα_s. We keep terms which are linear in the strange quark mass msm_s. The mass obtained for such state is mDsDs0=(4.80±0.55)m_{D_s{D}_{s0}}=(4.80\pm 0.55) GeV. We also consider a molecular 0−+0^{-+} DDˉ0(2400)+h.c.D\bar{D}_{0}(2400)+h.c. current and we obtain mDD0=(4.61±0.71)m_{D{D}_0}=(4.61\pm 0.71) GeV. Our study shows that the newly observed Y(4274) in the J/ψϕJ/ψϕ invariant mass spectra can be, considering the uncertainties, described using a molecular charmonium current.

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