Hidden charm tetraquark states in a diquark model
Pan-Pan Shi, Fei Huang, Wen-Ling Wang
Abstract
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 $[qc][\overline{q}\overline{c}]$, $[sc][\overline{s}\overline{c}]$, and $[qc][\overline{s}\overline{c}]$ $([sc][\overline{q}\overline{c}])$ hidden charm tetraquark states are systematically calculated by use of an effective Hamiltonian, which contains color, spin, and flavor dependent interactions. Apart from the $X(3872)$, $Z(3900)$, ${\ensuremath{\chi}}_{c2}(3930)$, and $X(4350)$ which are taken as input to fix the model parameters, the calculated results support that the ${\ensuremath{\chi}}_{c0}(3860)$, $X(4020)$, $X(4050)$ are $[qc][\overline{q}\overline{c}]$ states with ${I}^{G}{J}^{PC}={0}^{+}{0}^{++}$, ${1}^{+}{1}^{+\ensuremath{-}}$, and ${1}^{\ensuremath{-}}{2}^{++}$, respectively, the ${\ensuremath{\chi}}_{c1}(4274)$ is an $[sc][\overline{s}\overline{c}]$ state with ${I}^{G}{J}^{PC}={0}^{+}{1}^{++}$, the $X(3940)$ is a $[qc][\overline{q}\overline{c}]$ state with ${I}^{G}{J}^{PC}={1}^{\ensuremath{-}}{0}^{++}$ or ${1}^{\ensuremath{-}}{1}^{++}$, the ${Z}_{cs}(3985{)}^{\ensuremath{-}}$ is an $[sc][\overline{q}\overline{c}]$ state with ${J}^{P}={0}^{+}$ or ${1}^{+}$, and the ${Z}_{cs}(4000{)}^{+}$ and ${Z}_{cs}(4220{)}^{+}$ are $[qc][\overline{s}\overline{c}]$ states with ${J}^{P}={1}^{+}$. Predictions for other possible tetraquark states are also given.