Double exotic state productions in pion and kaon induced reactions

Abstract

Abstract In 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.