Exploring $T_{\psi\psi}$ tetraquark candidates in a coupled-channels formalism

TL;DR

This paper uses a coupled-channels approach to predict and analyze multiple $T_{\psi\psi}$ tetraquark states, identifying potential experimental candidates and suggesting detection strategies.

Contribution

It introduces a comprehensive coupled-channels formalism to systematically study $c\bar c- c\bar c$ tetraquark candidates and predicts their properties and possible experimental signatures.

Findings

Identified 29 states with masses from 6.1 to 7.6 GeV/c$^2$.

Predicted candidates for several $T_{\psi\psi}$ states, including $6200$, $6600$, $6700$, $6900$, and $7200$ MeV.

Discussed strategies for experimental discrimination and detection channels.

Abstract

This study investigates the properties of the $T_{\psi\psi}$ tetraquark candidates within a coupled-channels calculation of the $c\bar c- c\bar c$ system, specifically focusing on the $J^P=0^\pm$, $1^\pm$, and $2^\pm$ sectors. The analysis includes various channels containing a $J/\psi$, $\psi^\prime$, $\eta_c$, and $\eta_c^\prime$ meson. By searching for poles in the scattering matrix, a total of 29 states in different $J^P$ sectors with masses ranging from 6.1 to 7.6 GeV/c$^2$ are identified. The study further investigates the masses, widths and branching ratios of these states, leading to the identification of two potential candidates for the experimental $T_{\psi\psi}(6200)$ tetraquark, one candidate for $T_{\psi\psi}(6600)$, two for $T_{\psi\psi}(6700)$, four for $T_{\psi\psi}(6900)$, and three for $T_{\psi\psi}(7200)$ tetraquarks. Additionally, the paper discusses strategies to discriminate between different candidates and explores possible detection channels for further $c\bar c- c\bar c$ states.