$X(4140)$, $X(4270)$, $X(4500)$ and $X(4700)$ and their $cs\bar{c}\bar{s}$ tetraquark partners

TL;DR

This paper investigates the mass spectrum of $csar{c}ar{s}$ tetraquarks using a color-magnetic interaction model, proposing possible assignments for observed $X$ states and predicting multiple tetraquarks near 4.3 GeV.

Contribution

It introduces a systematic analysis of $csar{c}ar{s}$ tetraquark states with mass estimations and assignments for observed exotic states, expanding understanding of their structure.

Findings

Assigns $X(4350)$ as a $0^{++}$ tetraquark consistent with $X(4140)$ and $X(4270)$

Suggests $X(4500)$ and $X(4700)$ are likely orbitally or radially excited states

Predicts several tetraquarks around 4.3 GeV decaying into $J/ auphi$ or $\\eta_c\phi$

Abstract

In the simple color-magnetic interaction model, we investigate possible ground $cs\bar{c}\bar{s}$ tetraquark states in the diquark-antidiquark basis. We use several methods to estimate the mass spectrum and discuss possible assignment for the $X$ states observed in the $J/\psi\phi$ channel. We find that assigning the Belle $X(4350)$ as a $0^{++}$ tetraquark is consistent with the tetraquark interpretation for the $X(4140)$ and $X(4270)$ while the interpretation of the $X(4500)$ and $X(4700)$ needs orbital or radial excitation. There probably exist several tetraquarks around 4.3 GeV that decay into $J/\psi\phi$ or $\eta_c\phi$.