AbstractIn the present work, we investigate the pion/kaon induced $$P_c/P_{cs}$$
P
c
/
P
cs
productions with $$Z_c$$
Z
c
state off proton target with an effective Lagrangian approach. Our estimations indicate that the cross sections depend on the model parameters and beam energies, in particular, the cross sections for $$\pi p \rightarrow Z_c(3900) P_c(4312)$$
π
p
→
Z
c
(
3900
)
P
c
(
4312
)
and $$\pi p \rightarrow Z_c(3900) P_c(4440)$$
π
p
→
Z
c
(
3900
)
P
c
(
4440
)
are similar and can reach up to 10 nb, while those for $$\pi p \rightarrow Z_c(3900) P_c(4457)$$
π
p
→
Z
c
(
3900
)
P
c
(
4457
)
can be 30 nb. As for $$Kp \rightarrow Z_{cs}(3985)P_c$$
K
p
→
Z
cs
(
3985
)
P
c
, the cross sections are about 2.5 times smaller than those for $$\pi p \rightarrow Z_c(3900) P_c$$
π
p
→
Z
c
(
3900
)
P
c
. The discussed processes in the present work, especially $$\pi p \rightarrow Z_c(3900) P_c(4457)$$
π
p
→
Z
c
(
3900
)
P
c
(
4457
)
process, may be accessible by the high-energy pion and kaon beams in the facilities of J-PARC and COMPASS.