Study of charmonium-like and fully-charm tetraquark spectroscopy

TL;DR

This study calculates the masses of various tetraquark states using a constituent quark model and compares predictions with experimental data, proposing assignments for observed exotic states like X(6900).

Contribution

It provides a comprehensive theoretical analysis of charmonium-like and fully-charm tetraquark spectra using a Cornell-like potential, offering new insights into their possible experimental identifications.

Findings

X(6900) likely a first radial excited fully-charm tetraquark with J^{PC}=1^{+-}

Ground and second radial excited states are around 6494 and 7253 MeV

Model parameters are fixed by meson mass comparisons

Abstract

The masses of tetraquark states of all $qc\bar q \bar c$ and $cc\bar c \bar c$ quark configurations are evaluated in a constituent quark model, where the Cornell-like potential and one-gluon exchange spin-spin coupling are employed. All model parameters are predetermined by comparing the theoretical and experimental masses of light, charmed and bottom mesons. The theoretical predictions of the charmoniumlike tetraquarks are compared with the observed $XYZ$ states, and one tentative assignment is suggested. The work suggests that the $X(6900)$ observed by LHCb is likely to be the first radial excited fully-charm tetraquark state with $J^{PC} = 1^{+-}$ in the $\bar 3_c \otimes 3_c$ configuration, and the ground and second radial excited states of fully-charm tetraquark are around $6494$ and $7253$ MeV respectively.