Analysis of the pseudoscalar hidden-charm tetraquark states with the QCD sum rules

Abstract

In this work, we take all the color-antitriplet diquarks, such as the scalar, pseudoscalar, vector, axialvector and tensor diquarks, as the basic constituents to construct the local pseudoscalar four-quark currents without importing the explicit P-waves to implement the negative-parity, and investigate the mass spectroscopy of the pseudoscalar hidden-charm tetraquark states without strange, with strange and with hidden-strange in the framework of the QCD sum rules in a consistent and comprehensive way. We obtain the lowest mass $4.56\pm 0.08\mathrm{GeV}$ for the pseudoscalar tetraquark state with the symbolic quark constituents $c\bar{c}u\bar{d}$, which is much larger than the experimental value $4239\pm 18{}_{-10}^{+45}\mathrm{MeV}$ extracted by the LHCb collaboration.

12 pages, 3 figures

References in corpus (10)

• The Z(4430) and a New Paradigm for Spin Interactions in Tetraquarks
• Analysis of the $Z(4430)$ as the first radial excitation of the $Z_c(3900)$
• Erratum: QCD sum rules study of the $J^{PC}=1^{--}$ charmonium $Y$ mesons
• QCD sum rules study of the meson Z^+(4430)
• The decay width of the $Z_c(3900)$ as an axialvector tetraquark state in solid quark-hadron duality
• Analysis of the mass and width of the $Y(4274)$ as axialvector molecule-like state
• Analysis of the mass and width of the $X(4140)$ as axialvector tetraquark state
• Strong decays of the $Y(4660)$ as a vector tetraquark state in solid quark-hadron duality
• The Spectrum of $P$-Wave Hidden-Charm Exotic Mesons in the Diquark Model
• Analysis of the vector tetraquark states with P-waves between the diquarks and antidiquarks via the QCD sum rules

Cited by in corpus (11)

• Prediction of a narrow exotic hadronic state with quantum numbers $J^{PC}=0^{--}$
• Study of isospin eigenstates of the pentaquark molecular states with strangeness
• Analysis of the hidden-charm-hidden-strange tetraquark mass spectrum via the QCD sum rules
• Analysis of the vector hidden-charm-hidden-strange tetraquark states with implicit P-waves
• Strong decays of the vector tetraquark states with the masses about $4.5\mathrm{GeV}$ via the QCD sum rules
• The ground states and first radial excitations of the vector tetraquark states with explicit P-waves via the QCD sum rules
• Mass spectrum of the hidden-charm hybrid states via the QCD sum rules
• Hints of the $J^{PC}=0^{--}$ and $1^{--}$ $K^{\ast }{\bar{K}}_1(1270)$ Molecules in the $J/\psi \to \varphi \eta {\eta }^{\prime }$ Decay
• Two-body strong decays of the hidden-charm tetraquark molecular states via the QCD sum rules
• Analysis of the $X(4475/4710)$, $X(4500/4700)$, $Z_c(4600)$, $Z_{\bar{c}\bar{s}}(4600)$ and related tetraquark states with the QCD sum rules
• Two-body strong decays of the pseudoscalar hidden-charm tetraquark states via the QCD sum rules