The fully-light vector tetraquark states with explicit P-wave via the QCD sum rules

Abstract

In this paper, we apply the QCD sum rules to study the vector fully-light tetraquark states with an explicit P-wave between the diquark and antidiquark pair. We observed that the $C{\gamma }_{\alpha }\otimes {\overleftrightarrow{\partial }}_{\mu }\otimes {\gamma }^{\alpha }C$ (or $C{\gamma }_{\alpha }\otimes {\overleftrightarrow{D}}_{\mu }\otimes {\gamma }^{\alpha }C$) type current with fully-strange quarks couples potentially to a tetraquark state with the mass $2.16\pm 0.14\mathrm{GeV}$, which supports assigning the $Y/\varphi (2175)$ as the diquark-antidiquark type tetraquark state with the $J^{PC}=1^{--}$. The $qs\bar{q}\bar{s}$ and $ss\bar{s}\bar{s}$ vector tetraquark states with the structure $C{\gamma }_{\mu }\otimes {\overleftrightarrow{\partial }}_{\alpha }\otimes {\gamma }^{\alpha }C+C{\gamma }^{\alpha }\otimes {\overleftrightarrow{\partial }}_{\alpha }\otimes {\gamma }_{\mu }$ (or $C{\gamma }_{\mu }\otimes {\overleftrightarrow{D}}_{\alpha }\otimes {\gamma }^{\alpha }C+C{\gamma }^{\alpha }\otimes {\overleftrightarrow{D}}_{\alpha }\otimes {\gamma }_{\mu }$) are consistent with the $X(2200)$ and $X(2400)$ respectively, which lie in the region $2.20$ to $2.40\mathrm{GeV}$. The central values of the masses of the fully-strange vector tetraquark states with an explicit P-wave are about $2.16-3.13\mathrm{GeV}$ (or $2.16-3.16\mathrm{GeV}$), and the predictions for other fully-light vector tetraquark states with and without hidden-strange are also presented.

20 pages, 17 figures

References in corpus (16)

• X(2175) as a resonant state of the $\varphi K\bar{K}$ system
• Observation of Y(2175) in $J/\psi \to \eta \varphi f_0(980)$
• Analysis of Y(2175) as a tetraquark state with QCD sum rules
• A Candidate for $1^{--}$ Strangeonium Hybrid
• Y(2175): Distinguish Hybrid State from Higher Quarkonium
• The Y(2175) State in the QCD Sum Rule
• $S$- and $P$-wave fully-strange tetraquark states from QCD sum rules
• Analysis of the vector tetraquark states with P-waves between the diquarks and antidiquarks via the QCD sum rules
• ϕK^{+}K^{-} production in electron-positron annihilation
• Study of ${\Lambda }_c$${\Lambda }_c$ dibaryon and ${\Lambda }_c$${\bar{\Lambda }}_c$ baryonium states via QCD sum rules
• Analysis of the X(1576) as a tetraquark state with the QCD sum rules
• Resonances in $e^{+}{e}^{-}$ annihilation near 2.2 GeV
• Analysis of the D-wave $\Sigma$-type charmed baryon states with the QCD sum rules
• Measurement of $e^{+}{e}^{-}\to \Lambda \bar{\Lambda }\eta$ from 3.5106 to 4.6988 GeV and study of $\Lambda \bar{\Lambda }$ mass threshold enhancement
• The $\Lambda$-type P-wave bottom baryon states via the QCD sum rules
• Analysis of the vector hidden-charm tetraquark states without explicit P-waves via the QCD sum rules

Cited by in corpus (3)

• Investigation of Mass and Decay Characteristics of the All-light Tetraquark
• Investigation of Mass and Decay Characteristics of the Light-Strange Tetraquark
• Fully strange tetraquark states via QCD sum rules