Color spin wave functions of heavy tetraquark states

Using the variational method, we calculate the mass of the JP=1+JP=1+udb¯b¯ tetraquark containing two identical heavy antiquarks in a nonrelativistic potential model with color confinement and spin hyperfine interaction. In particular, we extend a previous investigation of the model by Brink and Stancu by investigating the effect of including the color anti-sextet component of the diquark configuration as well as using several more Gaussian parametrization for the L=0L=0 part of the spatial wave function. We find that for the heavy tetraquark, the 66¯ component among the color singlet bases is negligible and that the previously used specific Gaussian spatial configuration is good enough in obtaining the ground state energy.