Abstract
In this article, we construct both the [sc]_T[{bar{s}}{bar{c}}]_A+[sc]_A[{bar{s}}{bar{c}}]_T type and [sc]_T[{bar{s}}{bar{c}}]_V-[sc]_V[{bar{s}}{bar{c}}]_T type axialvector currents with J^{PC}=1^{++} to study the mass of the X(4140) with the QCD sum rules. The predicted masses support assigning the X(4140) to be the [sc]_T[{bar{s}}{bar{c}}]_V-[sc]_V[{bar{s}}{bar{c}}]_T type axialvector tetraquark state. Then we study the hadronic coupling constant g_{XJ/psi phi } with the QCD sum rules based on solid quark-hadron duality, and obtain the decay width Gamma (X(4140)rightarrow J/psi phi )=86.9pm 22.6,{mathrm{MeV}}, which is in excellent agreement with the experimental data 83pm 21^{+21}_{-14} { text{ MeV }} from the LHCb collaboration.
Highlights
The possible assignments for the X (4140) are tetraquark state [9–16], hybrid state [17–19] or rescattering effect [20], etc
We study the hadronic coupling constant gX J/ψφ with the QCD sum rules based on solid quark-hadron duality, and obtain the decay width (X (4140) → J/ψφ) = 86.9 ± 22.6 MeV, which is in excellent agreement with the experimental data 83 ± 21+−2114 MeV from the LHCb collaboration
The unknown parameters are chosen as CX J/ψ + CX φ = −0.00261 GeV7 to obtain platform in the Borel window T 2 = (3.6 − 4.6) GeV2
Summary
The possible assignments for the X (4140) are tetraquark state [9–16], hybrid state [17–19] or rescattering effect [20], etc. [9], Stancu calculates the mass spectrum of the ccsstetraquark states via a simple quark model with chromomagnetic interaction, and obtain two lowest masses 4195 MeV and 4356 MeV with J PC = 1++. In the simple chromomagnetic interaction model, there are no correlated quarks or diquarks [9]. [11], Lebed and Polosa assign the X (4140) to be the J PC = 1++ diquark-antidiquark state [cs]A[cs]S +. [cs]S[cs]A based on the effective Hamiltonian with the spinspin and spin-orbit interactions, in Ref. As input parameter, and obtain the mass spectrum of the ccsstetraquark states with positive parity, they observe that there is no room for the X (4274), and suggest the. In the QCD sum rules, we usually take the diquarks (or correlations) and antidiquarks (or correlations) as the basic constituents to construct the interpolating currents, the predictions can be compared to that based on the diquarkantidiquark model directly [11,12].
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