The 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.