Masses of heavy tetraquarks in the relativistic quark model

Abstract

The masses of heavy tetraquarks with hidden charm and bottom are calculated in the framework of the relativistic quark model. The tetraquark is considered as the bound state of a heavy–light diquark and antidiquark. The light quark in a heavy–light diquark is treated completely relativistically. The internal structure of the diquark is taken into account by calculating the diquark–gluon form factor in terms of the diquark wave functions. New experimental data on charmonium-like states above open charm threshold are discussed. The obtained results indicate that the X(3872) can be the tetraquark state with hidden charm. The masses of ground state tetraquarks with hidden bottom are found to be below the open bottom threshold.