Production of $\chi_{c}$ and $\eta_{c}$ production in ultra-peripheral collisions with two-photon processes

TL;DR

This paper calculates the production rates of $_{c}$ and $_{c}$ mesons via two-photon processes in ultra-peripheral heavy ion collisions at RHIC and LHC, showing experimental feasibility.

Contribution

It provides the first detailed estimates of differential cross sections for $_{c}$ and $_{c}$ production in ultra-peripheral collisions using the equivalent photon approximation.

Findings

Production cross sections are significant enough for experimental detection.

Differential distributions suggest measurable signals at RHIC and LHC.

Feasibility of studying $_{c}$ and $_{c}$ in ultra-peripheral collisions is confirmed.

Abstract

We calculate the production of $\chi_{c}$ and $\eta_{c}$ by the semi-coherent and coherent two-photon interaction in ultra-peripheral heavy ion collisions at Relativistic Heavy Ion Collider (RHIC) and Large Hadron Collider (LHC) energies. The differential cross section of transverse momentum distribution and rapidity distribution for $AB\stackrel{\gamma\gamma}{\longrightarrow}AHB$ (H=$\chi_{c}$ and $\eta_{c}$), are estimated by using the equivalent photon approximation in ultra-peripheral nucleus-nucleus collisions. The numerical results demonstrate that the experimental study of $\chi_{c}$ and $\eta_{c}$ in ultra-peripheral nucleus-nucleus collisions is feasible at RHIC and LHC energies.