Searching for strange hidden-charm pentaquark state Pcs(4459) in γp → K+ Pcs(4459) reaction

We investigate the possibility of studying the strange hidden-charm pentaquark state P-cs(4459) by photon-induced reactions on a proton target in an effective Lagrangian approach. The production process is described by the t-channel K- exchange, the u-channel A exchange, the contract term, and the s- channel nucleon pole. Our theoretical approach is based on the assumption that P-cs(4459) with J(P) = 1/2(-) or J(P) = 3=2- can be interpreted as a molecule composed of over bar D*Ec. Using the coupling constants of the PJP cs to gamma A and K-p channels obtained from molecule picture of the PJP cs (4459), the total cross-sections of the process gamma p -> PJcsPK+ is evaluated. Our calculation indicates that the cross-section for gamma p -> csP1=2- K+ and gamma p -> P3=2- cs K+ are of the order of 10.0 pb and 5.0 pb, respectively. In addition, we compute the cross section by assuming Pcs(4459) as a compact pentaquark and find it is quite different from the results of over bar D*Ec molecule. Those results can be measured in future experiments, such as the Electron-Ion Collider in China and the United States, and can be used to test the nature of the Pcs.

Automated summary

The study investigates the possibility of probing the hidden charm pentaquark state P-cs(4459) through photon-induced reactions on a proton target using an effective Lagrangian approach. Different production mechanisms are considered and calculations show that the P-cs(4459) can be interpreted as a molecule composed of over bar D*Ec. Cross-section calculations for various processes indicate discrepancies between assuming P-cs(4459) as a compact pentaquark and as a molecule of over bar D*Ec. These results can be tested in future experiments, such as the Electron-Ion Collider in China and the United States, to further understand the nature of P-cs.