Investigation on the stabilities of doubly heavy tetraquark states

In our recent work{Noh:2023zoq}, the mass and binding energy of Tcc are found to be $3873$ MeV and $-2$ MeV, respectively, which align with the observations reported at LHCb{LHCb:2021vvq}. Based on our latest quark model approach, we extend our search for other potentially stable configurations of doubly heavy tetraquarks using our nonrelativistic quark model described in Ref.~{Noh:2023zoq}. Our numerical calculations indicate that the ūs̄cb configuration is deeply bound. However, the ūd̄cb configuration with the isospin symmetry in the light quark sector is relatively less bound. In this study, we emphasize a compulsory aspect for requiring a complete set of three dimensional harmonic oscillator bases through the discussion of the ūs̄cb configuration and investigate the essential differences between the ūs̄cb and ūd̄cb configurations.