Double exotic state productions in pion and kaon induced reactions

In the present work, we investigate the pion/kaon induced P_c/P_cs productions with 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 π p → Z_c(3900) P_c(4312) and π p → Z_c(3900) P_c(4440) are similar and can reach up to 10 nb, while those for π p → Z_c(3900) P_c(4457) can be 30 nb. As for Kp → Z_cs(3985)P_c , the cross sections are about 2.5 times smaller than those for π p → Z_c(3900) P_c . The discussed processes in the present work, especially 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.