Hidden Charm Tetraquark States In A Diquark Model

The purpose of the present study is to explore the mass spectrum of the hidden charm tetraquark states within a diquark model. Proposing that a tetraquark state is composed of a diquark and an antidiquark, the masses of all possible [qc][(q) over bar(c) over bar], [sc][(s) over bar(c) over bar], and [qc][(s) over bar(c) over bar] [sc][(q) over bar(c) over bar] hidden charm tetraquark states are systematically calculated by use of an effective Hamiltonian, which contains color, spin, and flavor dependent interactions. Apart from the X(3872), Z(3900), chi(c2) (3930), and X(4350) which are taken as input to fix the model parameters, the calculated results support that the chi(c0) (3860), X(4020), X(4050) are [qc][(q) over bar(c) over bar] states with I(G)J(PC) = 0(+)0(++), 1(+)1(+-), and 1(-)2(++), respectively, the chi(c1) (4274) is an [sc][(s) over bar(c) over bar] state with I(G)J(PC) = 0(+)1(++), the X(3940) is a [qc][(q) over bar(c) over bar] state with I(G)J(PC) = 1(-)0(++) or 1(-)1(++), the Z(cs)(3985)(-) is an [sc][(q) over bar(c) over bar] state with J(P) = 0(+) or 1(+), and the Z(cs)(4000) and Z(cs)(4220) are [qc][(s) over bar(c) over bar] states with J(P) = 1(+). Predictions for other possible tetraquark states are also given.