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

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.

Comments: 9 pages, 3 tables and 1 figure