Abstract

The cross section for π+ π− and π 0 π 0 meson pairs production in peripheral ultrarelativistic heavy-ion collisions is calculated in the impact parameter space equivalent photon approximation. The cross section is calculated at the energy available at the CERN Large Hadron Collider, √s NN = 3.5 TeV. For the first time the world data for γ γ → ππ are described, both for the total cross section and for the angular distribution. This is obtained simultaneously for γ γ → π+ π− and γ γ → π 0 π 0 at all experimentally available energies.

Highlights

  • A1 A1 γ π γ π A2It is known that ultrarelativistic colliding heavy ions are a source of high-energy γγ collisions

  • We try to understand both γγ → π+π− and γγ → π0π0 processes simultaneously, starting from the twopion threshold (W = 2mπ) up to the maximal experimentally available energy Wγγ ≈ 6 GeV. We include both soft, hard continuum as well as s-channel resonances

  • We have shown that in order to describe the word data for γγ → π+π− and γγ → π0π0 reactions, one should consider several different mechanisms: soft two-pion continuum, several resonanses, pionpion rescattering, pQCD mechanisms proposed by Brodsky and Lepage, as well as the hand-bag mechanism proposed by Diehl, Kroll and Vogt

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Summary

Introduction

It is known that ultrarelativistic colliding heavy ions are a source of high-energy γγ collisions. We have shown there that inclusion of realistic charge form factors, being Fourier transforms of realistic charge distributions, is crucial to estimate. EPJ Web of Conferences reliable nuclear cross sections. We consider PbPb → PbPbπ+π− and PbPb → PbPbπ0π0 reactions. We discuss γγ → ππ reactions at low, intermediate and high sub-energies

Elementary cross section
Nuclear cross section
Conclusions
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