$D$-wave excited $cs\bar{c}\bar{s}$ tetraquark states with $J^{PC}=1^{++}$ and $1^{+-}$

Abstract

We study the mass spectra of D-wave excited $cs\bar{c}\bar{s}$ tetraquark states with $J^{PC}=1^{++}$ and $1^{+-}$ in both symmetric $6_{cs}\otimes {\bar{6}}_{\bar{c}\bar{s}}$ and antisymmetric ${\bar{3}}_{cs}\otimes 3_{\bar{c}\bar{s}}$ color configurations by using the QCD sum rule method. We construct the D-wave diquark-antidiquark type of $cs\bar{c}\bar{s}$ tetraquark interpolating currents in various excitation structures with $(L_{\lambda },L_{\rho }\{l_{{\rho }_1},l_{{\rho }_2}\})=(2,0\{0,0\}),(1,1\{1,0\}),(1,1\{0,1\}),(0,2\{1,1\}),(0,2\{2,0\}),(0,2\{0,2\})$. Our results support to interpret the recently observed $X(4685)$ resonance as a D-wave $cs\bar{c}\bar{s}$ tetraquark state with $J^{PC}=1^{++}$ in the $(2,0\{0,0\})$ or $(0,2\{2,0\})$ excitation mode, although some other possible excitation structures cannot be excluded exhaustively within theoretical errors. Moreover, our results provide a mass relation $6_{\rho \rho }<3_{\lambda \lambda }<3_{\lambda \rho }<3_{\rho \rho }$ and $6_{\rho \rho }<3_{\lambda \lambda }<6_{\lambda \lambda }<3_{\rho \rho }$ for the positive and negative $\mathbb{C}$-parity D-wave $cs\bar{c}\bar{s}$ tetraquarks, respectively. We suggest searching for these possible D-wave $cs\bar{c}\bar{s}$ tetraquarks in both the hidden-charm channels $J/\psi \varphi$, ${\eta }_c\varphi$ and open-charm channels such as $D_s{\bar{D}}_s^{\ast }$, $D_s{\bar{D}}_{s1}^{\ast }$ and so on.

31 pages, 5 figures. Accepted by Chinese Physics C

References in corpus (23)

• Multiquark Resonances
• Pentaquark and Tetraquark states
• Observation of a narrow pentaquark state, $P_c(4312{)}^{+}$, and of two-peak structure of the $P_c(4450{)}^{+}$
• An updated review of the new hadron states
• Observation of structure in the $J/\psi$-pair mass spectrum
• Observation of an exotic narrow doubly charmed tetraquark
• Study of the doubly charmed tetraquark $T_{cc}^{+}$
• Evidence for a Narrow Near-Threshold Structure in the $J/\psi \varphi$ Mass Spectrum in $B^{+}\to J/\psi \varphi K^{+}$ Decays
• Evidence of a $J/\psi \Lambda$ structure and observation of excited ${\Xi }^{-}$ states in the ${\Xi }_b^{-}\to J/\psi \Lambda K^{-}$ decay
• Observation of new resonances decaying to $J/\psi K^{+}$ and $J/\psi \varphi$
• The Vector and Axial-Vector Charmonium-like States
• $B\to \pi \ell {\nu }_l$ Width and $|V_{ub}|$ from QCD Light-Cone Sum Rules
• Excited heavy tetraquarks with hidden charm
• P-wave charmed baryons from QCD sum rules
• Evidence for a new structure in the $J/\psi p$ and $J/\psi \bar{p}$ systems in $B_s^0\to J/\psi p\bar{p}$ decays
• Towards the understanding of fully-heavy tetraquark states from various models
• The $X(4140)$, $X(4274)$, $X(4500)$ and $X(4700)$ in the relativized quark model
• $X(4140)$, $X(4270)$, $X(4500)$ and $X(4700)$ and their $cs\bar{c}\bar{s}$ tetraquark partners
• Study of B{+-,0} --> J/ψ K+ K- K{+-,0} and search for B0 --> J/ψ ϕ at BABAR
• Higher fully-charmed tetraquarks: Radial excitations and P-wave states
• Could $Y_b(10890)$ be the P-wave $[bq][\bar{b}\bar{q}]$ tetraquark state?
• Investigation of the stability for fully-heavy $bc\bar{b}\bar{c}$ tetraquark states
• Assignments of the $X(4140)$, $X(4500)$, $X(4630)$ and $X(4685)$ based on the QCD sum rules

Cited by in corpus (2)

• $X(3960)$, $X_0(4140)$, and other compact $cs\bar{c}\bar{s}$ states
• The ground states of hidden-charm tetraquarks and their radial excitations