Exclusive production of $\rho^0 \rho^0$ pairs in ultrarelativistic heavy ion collisions

TL;DR

This paper predicts the exclusive production of $ ho^0 ho^0$ pairs in ultrarelativistic heavy ion collisions using a vector-dominance-model approach, providing cross section estimates for RHIC and LHC energies.

Contribution

It introduces detailed predictions for $ ho^0 ho^0$ pair production in heavy ion collisions using the VDM-Regge model and compares different nuclear charge form factors.

Findings

Predicted cross sections for gold-gold and lead-lead collisions.

Comparison of charge density models on cross section calculations.

Validation of the VDM-Regge approach at high energies.

Abstract

We disuss exclusive electromagnetic production of two neutral $\rho^0$~mesons and show the predictions for the $AA \to AA \rho^0 \rho^0$ reactions for gold-gold collisions at the energy of $\sqrt{s}$ = 200 GeV (RHIC) and for lead-lead collisions at the energy of $\sqrt{s}$ = 5.5 TeV (LHC). The elementary cross section is calculated with the help of the vector-dominance-model (VDM)-Regge approach which usually very well describes the experimental data at large $\gamma \gamma$ energy. The low-energy $\gamma \gamma \to \rho^0 \rho^0$ cross section is parametrized. The cross section for nuclear process is calculated by means of the equivalent photon approximation (EPA). We compare the results with realistic charge density with the results for monopole form factor.