Double-scattering mechanism of production of two $\rho^0$ mesons in ultraperipheral, ultrarelativistic heavy ion collisions

TL;DR

This paper investigates the double-scattering mechanism for producing two $ ho^0$ mesons in ultraperipheral heavy ion collisions, providing differential distributions and comparing with experimental data from RHIC and LHC.

Contribution

It introduces the first detailed differential distribution analysis of double-$ ho^0$ production via double-scattering in ultraperipheral collisions, incorporating impact parameter space calculations and mass smearing effects.

Findings

Double-scattering mechanism significantly contributes to four charged pion production.

Calculated distributions agree with STAR experimental data.

The model predicts observable effects in ultraperipheral heavy ion collisions.

Abstract

We study, for the first time, differential distributions for two $\rho^0$ meson production in exclusive ultraperipheral, ultrarelativistic heavy ion collisions via a double-scattering mechanism. The calculations are done in the impact parameter space. The cross section for $\gamma A \to \rho^0 A$ is parametrized based on an existing model. Smearing of $\rho^0$ masses is taken into account. The results of calculations for single and double-$\rho^0$ production are compared to experimental data at the RHIC and LHC energies. The mechanism considered gives a significant contribution to the $AA \to AA \pi^+\pi^-\pi^+\pi^-$ reaction. Some observables related to charged pions are presented too. We compare results of our calculations with the STAR collaboration results for four charged pion production.