Production of $P_{c}$(4312) state in electron-proton collisions

TL;DR

This paper evaluates the potential for the Electron Ion Collider to produce and analyze the properties of the $P_c(4312)$ pentaquark state in electron-proton collisions, focusing on its quantum numbers and decay characteristics.

Contribution

It provides a theoretical assessment of how the $P_c(4312)$ state can be studied at the EIC, including methods to determine its spin and parity through polarization and decay angle analyses.

Findings

High multiplicity of $P_c$ production suggests EIC's suitability for precision measurements.

Spin discrimination possible via pseudorapidity distribution comparisons.

Parity can be inferred from decay angle analysis.

Abstract

We study the cross sections for the electro-production of $P_c(4312)$ particle, a recently discovered pentaquark state, in electron-proton collisions assuming possible quantum numbers to be $J^{P}=\frac{1}{2}^\pm, \frac{3}{2}^\pm$. $\sqrt{s}$ is set to the energy of the future Electron Ion Collider at Brookhaven National Laboratory, in order to asses the possibility of the measurement in this facility. One can discriminate the spin of $P_c(4312)$ by comparing the pseudorapidity distribution in two different polarization configurations for proton and electron beams. Furthermore, the parity of $P_c(4312)$ can be discerned by analyzing the decay angle in the $P_c \rightarrow p +J/\psi$ channel. As the multiplicity of $P_c$ production in our calculation is large, the EIC can be considered as a future facility for precision measurement of heavy pentaquarks.