Masses of tetraquark states in the hidden charm sector above D − D⁎ threshold

Abstract

In the diquark-antidiquark composition, we study the masses of hidden charm tetraquark systems (cqc¯q¯, csc¯s¯ and csc¯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 cqc¯q¯ tetraquark state. ψ(4360) and ψ(4390) as pure csc¯q¯ tetraquark states. According to our analysis ψ(4260) is found to be an admixture of two P11cqc¯q¯ tetraquark states having mass 4259 MeV. Additionally, we have been able to predict the radiative decay width Γ(ψ→J/ψγ), leptonic decay width Γe+e− and hadronic decays of 1−− tetraquark states. The status of X(3872) and Zcs are also identified as compact tetraquark states. Additionally, we have been able to predict the radiative decay width Γ(ψ→J/ψγ), leptonic decay width Γe+e− and hadronic decays of 1−− tetraquark states.