Investigating full-heavy tetraquarks composed of $$cc{\bar{c}}{\bar{b}}$$ and $$bb{\bar{b}}{\bar{c}}$$

AbstractThe full-heavy tetraquarks $$cc{\bar{c}}{\bar{b}}$$ c c c ¯ b ¯ and $$bb{\bar{b}}{\bar{c}}$$ b b b ¯ c ¯ are systematically investigated within a quark model. The meson–meson structure, diquark–antidiquark structure and K-structure are considered in this work. There is no bound state for $$cc{\bar{c}}{\bar{b}}$$ c c c ¯ b ¯ and $$bb{\bar{b}}{\bar{c}}$$ b b b ¯ c ¯ systems in $$ IJ^{P}=00^{+},01^{+}$$ I J P = 00 + , 01 + and $$ 02^{+}$$ 02 + channels. However, for $$cc{\bar{c}}{\bar{b}}$$ c c c ¯ b ¯ system, three possible resonance states with energy of $$ 10{,}079~\textrm{MeV} $$ 10 , 079 MeV , $$ 10{,}081~\textrm{MeV} $$ 10 , 081 MeV and $$ 10{,}177~\textrm{MeV} $$ 10 , 177 MeV are found in $$ IJ^{P}=00^{+},01^{+}$$ I J P = 00 + , 01 + and $$ 02^{+}$$ 02 + , respectively, and their decay width $$ \Gamma $$ Γ are 6.7–8.4 MeV, 1.4–7.2 MeV and 9.1–11.1 MeV. For $$bb{\bar{b}}{\bar{c}}$$ b b b ¯ c ¯ system, there also exist three possible resonance states with energy of $$ 16{,}474~\textrm{MeV} $$ 16 , 474 MeV , $$ 16{,}474~\textrm{MeV} $$ 16 , 474 MeV and $$ 16{,}541~\textrm{MeV} $$ 16 , 541 MeV in $$ IJ^{P}=00^{+},01^{+}$$ I J P = 00 + , 01 + and $$ 02^{+}$$ 02 + , respectively, and the decay widths $$ \Gamma $$ Γ of them are 2.2–6.1 MeV, 2.2–6.9 MeV and 5.3–8.5 MeV. $$bc{\bar{c}}{\bar{c}}$$ b c c ¯ c ¯ and $$cb{\bar{b}}{\bar{b}}$$ c b b ¯ b ¯ systems will have the same results as $$cc{\bar{c}}{\bar{b}}$$ c c c ¯ b ¯ and $$bb{\bar{b}}{\bar{c}}$$ b b b ¯ c ¯ , respectively. These full-heavy resonance states are worthy to be searched in the future experiments.