Going in quest of potential tetraquark interpretations for the newly observed $T_{\psi\psi}$ states in light of the diquark-antidiquark scenarios

TL;DR

This paper investigates fully charmed tetraquark states using various relativized and nonrelativistic diquark models to interpret recent experimental observations of $T_{ ext{ extpsi extpsi}}$ states, proposing possible quantum number assignments.

Contribution

It introduces a systematic analysis of $T_{ ext{ extpsi extpsi}}$ states within diquark-antidiquark frameworks, considering multiple models and addressing uncertainties in state assignments.

Findings

Proposes interpretations of $T_{ ext{ extpsi extpsi}}$ states as specific tetraquark excitations.

Highlights the need for further experimental data to clarify state properties.

Suggests ongoing experimental efforts are crucial for understanding fully charmed tetraquarks.

Abstract

Stimulated by the recent experimental progress on the $T_{\psi\psi}$ states, the fully charmed tetraquark spectroscopy is systemically investigated by dint of the Godfrey-Isgur relativized diquark model, the modified Godfrey-Isgur relativized diquark model with the color screening effects, and the nonrelativistic diquark model. The theoretical results of the diquark-antidiquark scenarios propose to interpret the $T_{\psi\psi}(6200)$, $T_{\psi\psi}(6600)$, $T_{\psi\psi}(6900)$, and $T_{\psi\psi}(7300)$ structures as the candidates of the $1S$-wave, $1P/2S$-wave, $1D/2P$-wave, and $2D/3P/4S$-wave fully charmed tetraquark states, respectively. On account of the deficiency of sufficient experimental information, e.g., the parities of the newly observed $T_{\psi\psi}$ states, there are uncertainties about the assignments of the $T_{\psi\psi}(6600)$, $T_{\psi\psi}(6900)$, and $T_{\psi\psi}(7300)$ states. It is demonstrated that the further experimental survey on the $cc\bar c\bar c$ states, implemented by the LHCb, ATLAS, CMS, and other collaborations, ought to be continued in the future.