Estimating the mass of the hidden charm $1^{+}(1^{+})$ tetraquark state via QCD sum rules

Abstract

By using QCD sum rules, the mass of the hidden charm tetraquark $[cu][\bar{c}\bar{d}]$ state with $I^G(J^P)=1^{+}(1^{+})$ (HCTV) is estimated, which presumably will turn out to be the newly observed charmonium-like resonance $Z_c^{+}(3900)$. In the calculation, contributions up to dimension eight in the operator product expansion(OPE) are taken into account. We find $m_{1^{+}}^c=(3912_{-153}^{+306})\text{MeV}$, which is consistent, within the errors, with the experimental observation of $Z_c^{+}(3900)$. Extending to the b-quark sector, $m_{1^{+}}^b=(10561_{-163}^{+395})\text{MeV}$ is obtained. The calculational result strongly supports the tetraquark picture for the "exotic" states of $Z_c^{+}(3900)$ and $Z_b^{+}(10610)$.

13 pages,3 figures, 1 table, version to appear in EPJC

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Cited by in corpus (31)

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• Scalar Fully-heavy Tetraquark States $Q{Q}^{\prime }\bar{Q}\overline{Q^{\prime }}$ in QCD Sum Rules
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• Zc(4200)+ decay width as a charmonium-like tetraquark state
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• Possible structure of the newly found exotic state ${\eta }_1(1855)$
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• Hidden-bottom and -charm hexaquark states in QCD sum rules
• $Z_c(3900)$: Confronting theory and lattice simulations
• Axialvector tetraquark candidates for the $Z_c(3900)$, $Z_c(4020)$, $Z_c(4430)$, $Z_c(4600)$
• The magnetic moment of the $Z_c(3900)$ as an axialvector tetraquark state with QCD sum rules
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• Precise determination of the pole position of the exotic $Z_c(3900)$
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• Determination of the up/down-quark mass within QCD sum rules in the scalar channel
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