With the discovery of some hidden-charm pentaquark resonances by the LHCb Collaboration, investigations of pentaquark states containing heavy quarks have aroused the interest of theorists. We study herein $$qqq{\bar{q}}Q$$
q
q
q
q
¯
Q
($$q = u$$
q
=
u
or d, $$Q=c$$
Q
=
c
or b) pentaquark system, in the framework of the chiral quark model. In consequence, some charmed and bottomed pentaquarks are considered to exist by five-body dynamical calculations. In the charm sector, $$\Sigma _c\pi (IJ^P=0\frac{1}{2}^-)$$
Σ
c
π
(
I
J
P
=
0
1
2
-
)
and $$\Sigma _c^*\pi (IJ^P=0\frac{3}{2}^-)$$
Σ
c
∗
π
(
I
J
P
=
0
3
2
-
)
are possible candidates of $$\Lambda _c(2595)$$
Λ
c
(
2595
)
and $$\Lambda _c(2625)$$
Λ
c
(
2625
)
, respectively. Besides, two high-spin states, $$\Sigma _c^*\rho (IJ^P=0\frac{5}{2}^-)$$
Σ
c
∗
ρ
(
I
J
P
=
0
5
2
-
)
and $$\Delta D^*(IJ^P=1\frac{5}{2}^-)$$
Δ
D
∗
(
I
J
P
=
1
5
2
-
)
, are also found in the energy region of $$3.2 \sim 3.3$$
3.2
∼
3.3
GeV. In the bottom sector, $$\Sigma _b\pi (IJ^P=0\frac{1}{2}^-)$$
Σ
b
π
(
I
J
P
=
0
1
2
-
)
, $$\Sigma _b^*\pi (IJ^P=0\frac{3}{2}^-)$$
Σ
b
∗
π
(
I
J
P
=
0
3
2
-
)
could be candidates of $$\Lambda _b(5912)$$
Λ
b
(
5912
)
and $$\Lambda _b(5920)$$
Λ
b
(
5920
)
, respectively. And $$\Sigma _b^*\rho (IJ^P=0\frac{5}{2}^-)$$
Σ
b
∗
ρ
(
I
J
P
=
0
5
2
-
)
and $$\Delta B^*(IJ^P=1\frac{5}{2}^-)$$
Δ
B
∗
(
I
J
P
=
1
5
2
-
)
are found in the energy region of $$6.5 \sim 6.6$$
6.5
∼
6.6
GeV. $$\Sigma _c^{(*)}\pi $$
Σ
c
(
∗
)
π
and $$\Sigma _b^{(*)}\pi $$
Σ
b
(
∗
)
π
are expected as compact states, while $$\Sigma _c^*\rho $$
Σ
c
∗
ρ
, $$\Sigma _b^*\rho $$
Σ
b
∗
ρ
, $$\Delta D^*$$
Δ
D
∗
and $$\Delta B^*$$
Δ
B
∗
are expected as molecular states.