Exploring <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mi>ψ</mml:mi><mml:mi>ψ</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math> tetraquark candidates in a coupled-channels formalism
Pablo G. Ortega, D. R. Entem, F. Fernández
Abstract
This study investigates the properties of the ${T}_{\ensuremath{\psi}\ensuremath{\psi}}$ tetraquark candidates within a coupled-channels calculation of the $c\overline{c}\ensuremath{-}c\overline{c}$ system, specifically focusing on the ${J}^{P}={0}^{\ifmmode\pm\else\textpm\fi{}}$, ${1}^{\ifmmode\pm\else\textpm\fi{}}$, and ${2}^{\ifmmode\pm\else\textpm\fi{}}$ sectors. The analysis includes various channels containing a $J/\ensuremath{\psi}$, ${\ensuremath{\psi}}^{\ensuremath{'}}$, ${\ensuremath{\eta}}_{c}$, and ${\ensuremath{\eta}}_{c}^{\ensuremath{'}}$ 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 $7.6\text{ }\text{ }\mathrm{GeV}/{\mathrm{c}}^{2}$ 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 ${T}_{\ensuremath{\psi}\ensuremath{\psi}}(6200)$ tetraquark, one candidate for ${T}_{\ensuremath{\psi}\ensuremath{\psi}}(6600)$, two for ${T}_{\ensuremath{\psi}\ensuremath{\psi}}(6700)$, four for ${T}_{\ensuremath{\psi}\ensuremath{\psi}}(6900)$, and three for ${T}_{\ensuremath{\psi}\ensuremath{\psi}}(7200)$ tetraquarks. Additionally, the paper discusses strategies to discriminate between different candidates and explores possible detection channels for further $c\overline{c}\ensuremath{-}c\overline{c}$ states.