Multiple scattering production of lepton-pairs in ultraperipheral heavy-ion collisions

TL;DR

This paper calculates multi-lepton pair production cross-sections in ultraperipheral heavy-ion collisions at LHC using impact parameter dependence and Monte Carlo methods, aligning results with experimental data.

Contribution

It introduces a well-behaved impact parameter dependent cross-section and applies Monte Carlo simulations to predict multi-pair production in heavy-ion collisions.

Findings

Calculated multi-pair production cross-sections for electrons and muons.

Compared theoretical predictions with experimental results.

Provided a new impact parameter dependence model for these processes.

Abstract

Ultra-relativistic peripheral collisions of heavy ions at LHC can produce copies of numbers of lepton pairs via the two-photon process. Since the energy of the heavy ions is so high, multi-pair production cross-sections of the light leptons especially electrons are quite large so that it is possible to measure them experimentally. To calculate the multi-pair production probabilities, first, we should have an impact parameter dependence cross-section. We have obtained a well-behaved impact parameter dependence cross-section and by using the Monte-Carlo methods, we have calculated multi-pair production cross-sections of electrons and muons in Pb-Pb heavy-ion collisions at LHC energies. We have also used some experimental restrictions in our calculation to compare our findings with the experimental results.