Investigation on the stabilities of doubly heavy tetraquark states

초록

In our recent work [S. Noh and W. Park, Nonrelativistic quark model analysis of T cc , Phys. Rev. D 108, 014004 (2023)], the mass and binding energy of T cc are found to be 3873 MeV and -2 MeV, respectively, which align with the observations reported at LHCb [R. Aaij (LHCb Collaboration), Observation of an exotic narrow doubly charmed tetraquark, Nat. Phys. 18 , 751 (2022)]. 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 Noh and Park, [Nonrelativistic quark model analysis of T cc , Phys. Rev. D 108, 014004 (2023)]. Our numerical calculations indicate that the u <overline> s <overline> cb configuration is deeply bound. However, the u <overline> d <overline> cb 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 threedimensional harmonic oscillator bases through the discussion of the u <overline> s <overline> cb configuration and investigate the essential differences between the u <overline> s <overline> cb and u <overline> d <overline> cb configurations.