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Masses of tetraquark states in the hidden charm sector above $D-D^*$ threshold

In the diquark-diantiquark composition, we study the masses of hidden charm tetraquark systems ($cq\bar{c}\bar{q}$, $cs\bar{c}\bar{s}$ and $cs\bar{c}\bar{q}$) using a linear confinement potential. In this study, we have factorized the four body system into three subsequent two body systems. To remove degeneracy in the S and P wave masses of mesons and tetraquark states, the spin-spin, spin orbit and tensor components of the confined one gluon exchange interactions are employed. In this attempt, we have been able to assign the $ψ(4230)$ as pure $cq\bar{c}\bar{q}$ tetraquark state. $ψ(4360)$ and $ψ(4390)$ as pure $cs\bar{c}\bar{q}$ tetraquark states. According to our analysis $ψ(4260)$ is an admixture of $^1P_1$ and $^5P_1$ $cq\bar{c}\bar{q}$ tetraquark state. Additionally, we have been able to predict the radiative decay width $Γ_{(ψ\rightarrow J/ψγ)}$, leptonic decay width $Γ_{e^+e^-}$ and hadronic decays of $1^{--}$ tetraquark stat

preprint2020arXivOpen access

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