Analysis of the $X(6600)$, $X(6900)$, $X(7300)$ and related tetraquark states with the QCD sum rules

TL;DR

This paper uses QCD sum rules and Regge trajectories to analyze the mass spectrum of fully-charm tetraquark states, aiming to assign the observed $X(6600)$, $X(6900)$, and $X(7300)$ to specific tetraquark configurations.

Contribution

It provides a self-consistent analysis of the mass spectrum of fully-charm tetraquarks, incorporating experimental data to identify possible quantum number assignments for observed states.

Findings

Assignments of $X(6600)$, $X(6900)$, and $X(7300)$ to specific tetraquark states.

Mass spectrum predictions consistent with experimental data.

Identification of quantum numbers $J^{PC}=0^{++}$ or $1^{+-}$ for these states.

Abstract

In this work, we re-investigate the mass spectrum of the ground state, first, second and third radial excited states of the diquark-antidiquark type fully-charm tetraquark states with the QCD sum rules plus Regge trajectories. We take account of the CMS and ATLAS experimental data and preform a self-consistent analysis, then try to make possible assignments of the $X(6600)$, $X(6900)$ and $X(7300)$ in the picture of tetraquark states with the $J^{PC}=0^{++}$ or $1^{+-}$.