The scalar and pseudoscalar hidden-charm tetraquark states with QCD sum rules

Abstract

Based on the diquark configuration, we construct the diquark-antidiquark interpolating tetraquark currents with $J^{PC}=1^{-\pm }$ and $1^{+\pm }$, which can couple to the scalar and pseudoscalar tetraquark states respectively, since they are not conserved currents. Then we investigate their two-point correlation functions including the contributions of the vacuum condensates up to dimension-10 and extract the masses and pole residues of the tetraquark states with $J^{PC}=0^{+\pm }$ and $0^{-\pm }$ through the QCD sum rule approach. The predicted masses can be confronted with the experimental data in the future. Moreover, we briefly discuss the possible decay patterns of the tetraquark states.

arXiv comment16 pages, 16 figures. arXiv admin note: text overlap with arXiv:1802.05354, arXiv:1312.1537

References in corpus (42)

• Observation of a narrow charmonium-like state in exclusive B+ -> K+ pi+pi- J/psi decays
• Observation of a New Narrow Charmonium State in Exclusive B+-->K+ pi+pi- J/psi Decays
• The hidden-charm pentaquark and tetraquark states
• Observation of $J/\psi p$ resonances consistent with pentaquark states in ${\Lambda }_b^0\to J/\psi K^{-}p$ decays
• Diquark-Antidiquarks with Hidden or Open Charm and the Nature of X(3872)
• Heavy-Quark QCD Exotica
• Diquarks and Exotic Spectroscopy
• Charmonium
• The Z(4430) and a New Paradigm for Spin Interactions in Tetraquarks
• The New Pentaquarks in the Diquark Model
• Hadro-Charmonium
• Towards exotic hidden-charm pentaquarks in QCD
• The Pentaquark Candidates in the Dynamical Diquark Picture
• Can the X(3872) be a 1^{++} four-quark state?
• Analysis of the $P_c(4380)$ and $P_c(4450)$ as pentaquark states in the diquark model with QCD sum rules
• QCD Sum Rules, a Modern Perspective
• Analysis of the X(3872), Z_c(3900) and Z_c(3885) as axial-vector tetraquark states with QCD sum rules
• QCD sum rules study of $QQ-\bar{u}\bar{d}$ mesons
• The Vector and Axial-Vector Charmonium-like States
• Possible assignments of the $X(3872)$, $Z_c(3900)$ and $Z_b(10610)$ as axial-vector molecular states
• Reanalysis of the $Y(3940)$, $Y(4140)$, $Z_c(4020)$, $Z_c(4025)$ and $Z_b(10650)$ as molecular states with QCD sum rules
• Analysis of the $Z_c(4020)$, $Z_c(4025)$, $Y(4360)$ and $Y(4660)$ as vector tetraquark states with QCD sum rules
• Analysis of the $Z(4430)$ as the first radial excitation of the $Z_c(3900)$
• Charged Exotic Charmonium States
• Analysis of the ${\frac{1}{2}}^{\pm }$ pentaquark states in the diquark model with QCD sum rules
• Erratum: QCD sum rules study of the $J^{PC}=1^{--}$ charmonium $Y$ mesons
• QCD sum rules study of the $J^{PC}=1^{--}$ charmonium $Y$ mesons
• QCD sum rules study of the meson Z^+(4430)
• Treating $Z_c(3900)$ and $Z(4430)$ as the ground-state and first radially excited tetraquarks
• Interpretation of $Z_c(4025)$ as the Hidden Charm Tetraquark States via QCD Sum Rules
• Scalar tetraquark state candidates: $X(3915)$, $X(4500)$ and $X(4700)$
• Analysis of the ${\frac{3}{2}}^{\pm }$ pentaquark states in the diquark-diquark-antiquark model with QCD sum rules
• Tetraquark state candidates: $Y(4140)$, $Y(4274)$ and $X(4350)$
• Analysis of the mass and width of the $Y(4274)$ as axialvector molecule-like state
• The $P$-wave $[cs][\bar{c}\bar{s}]$ tetraquark state: Y(4260) or Y(4660)?
• Another tetraquark structure in the ${\pi }^{+}{\chi }_{c1}$ invariant mass distribution
• Open charm-bottom axial-vector tetraquarks and their properties
• Possible tetraquark states in the ${\pi }^{+}{\chi }_{c1}$ invariant mass distribution
• The lowest hidden charmed tetraquark state from QCD sum rules
• $0^{+}$ tetraquark states from improved QCD sum rules: delving into $X(5568)$
• The new $a_1(1420)$ state: structure, mass and width
• Scalar hidden-charm tetraquark states with QCD sum rules