Abstract
In this work, the masses of the ground states coupling to molecular or tetraquark currents with JPC = 0++, 1++, 2++ are studied to investigate the structure of X(4140) exotic meson observed at J/ψϕ invariant mass spectrum. We found that all currents predict ground states with masses of the same magnitude, which might be inter-pereted as the existance of at least three exotic structures with degenerate mass.
Highlights
We chose three molecule and three tetraquark currents, which can couple to X(4140), with JPC = 0++, 1++, 2++, and estimated the masses of the ground states coupling to these currents in the framework of QCD sum rules (QCDSR)
In operator product expansion (OPE), we considered the terms including dimension eight, and we performed pole contribution tests carefully
In terms of hadronic states, the correlators are obtained as λ2(S ) m2X − q2
Summary
We chose three molecule and three tetraquark currents, which can couple to X(4140), with JPC = 0++, 1++, 2++, and estimated the masses of the ground states coupling to these currents in the framework of QCD sum rules (QCDSR). All of these currents couple to the ground states with degenerate masses which are in 10 MeV vicinity of X(4140). In QCDSR, we consider the following two point correlation function
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