Double Exotic States Productions in Pion and Kaon Induced Reactions

TL;DR

This study investigates the production of exotic pentaquark and tetraquark states in pion and kaon induced reactions using an effective Lagrangian approach, providing cross section estimates relevant for experimental detection.

Contribution

It presents the first detailed cross section calculations for $P_c$ and $Z_c(3900)/Z_{cs}(3985)$ production in pion and kaon induced reactions, highlighting their potential observability.

Findings

Cross sections for $ o Z_c(3900) P_c(4312)$ and $ o Z_c(3900) P_c(4440)$ reach up to 10 nb.

Cross sections for $ o Z_c(3900) P_c(4457)$ can be about 30 nb.

Cross sections for $Kp$ reactions are approximately 2.5 times smaller than for $ o Z_c(3900) P_c$ reactions.

Abstract

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