Tetraquark state candidates: $Y(4140)$, $Y(4274)$ and $X(4350)$

Abstract

In this article, we tentatively assign the $Y(4140)$, $Y(4274)$ and $X(4350)$ to be the scalar and tensor $cs\bar{c}\bar{s}$ tetraquark states, respectively, and study them with the QCD sum rules. In the operator product expansion, we take into account the vacuum condensates up to dimension-10. In calculations, we use the formula $\mu =\sqrt{M_{X/Y/Z}^2-(2{\mathbb{M}}_c{)}^2}$ to determine the energy scales of the QCD spectral densities. The numerical results favor assigning the $Y(4140)$ to be the $J^{PC}=2^{++}$ diquark-antidiquark type tetraquark state, and disfavor assigning the $Y(4274)$ and $X(4350)$ to be the $0^{++}$ or $2^{++}$ tetraquark states.

15 pages, 12 figures. arXiv admin note: substantial text overlap with arXiv:1312.1537, arXiv:1403.0810; text overlap with arXiv:1502.00279

References in corpus (9)

• Evidence for a Narrow Near-Threshold Structure in the $J/\psi \varphi$ Mass Spectrum in $B^{+}\to J/\psi \varphi K^{+}$ Decays
• The Z(4430) and a New Paradigm for Spin Interactions in Tetraquarks
• Hadronic molecule structure of the Y(3940) and Y(4140)
• Excited heavy tetraquarks with hidden charm
• Analysis of the Y(4140) with QCD sum rules
• Possible Molecular States of $D_s^{\ast }{\bar{D}}_s^{\ast }$ System and Y(4140)
• The hidden charm decay of Y(4140) by the rescattering mechanism
• Analysis of the Y(4140) and related molecular states with QCD sum rules
• QCD sum rules study of X(4350)

Cited by in corpus (12)

• Exotics: Heavy Pentaquarks and Tetraquarks
• The $X(4140)$, $X(4274)$, $X(4500)$ and $X(4700)$ in the relativized quark model
• Analysis of the $P_{cs}(4459)$ as the hidden-charm pentaquark state with QCD sum rules
• Canonical description of the new LHCb resonances
• Spectrum of the Hidden-Bottom and the Hidden-Charm/Strange Exotics in the Dynamical Diquark Model
• 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
• How to understand the underlying structures of $X(4140)$, $X(4274)$, $X(4500)$ and $X(4700)$
• Analysis of the $B^{+}\to J/\psi \varphi K^{+}$ data at low $J/\psi \varphi$ invariant masses and the $X(4140)$ and $X(4160)$ resonances
• Analysis of the vector tetraquark states with P-waves between the diquarks and antidiquarks via the QCD sum rules
• Reanalysis of the $X(4140)$ as axialvector tetraquark state with QCD sum rules
• Analysis of the tensor-tensor type scalar tetraquark states with QCD sum rules