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

Abstract

In the diquark-diantiquark composition, we study the masses of hidden charm tetraquark systems (cqcq, cscs and cscq) 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 cqcq tetraquark state. ψ(4360) and ψ(4390) as pure cscq tetraquark states. According to our analysis ψ(4260) is an admixture of 1 P1 and 5 P1 cqcq tetraquark state. Additionally, we have been able to predict the radiative decay width Γ (ψ→J/ψγ) , leptonic decay width Γ e + e − and hadronic decays of 1 −− tetraquark states.PACS. 12.39.x Phenomenological quark models -12.40.Yx Hadron mass models and calculations -13.30.Eg Hadronic decays