April 23, 2008 Workshop on “High energy photon collisions at the LHC 1 Cem Güçlü İstanbul Technical University Physics Department Physics of Ultra-Peripheral Nuclear Collisions

April 23, 2008Workshop on “High energy photon collisions at the LHC 2 Particle production from EM Fields * Lepton-pair production * Beam Lifetime (electron capture) * Detector background * Non-perturbative and perturbative approach * Impact parameter dependence * Multi-pair production * Test of QED at high fields

April 23, 2008Workshop on “High energy photon collisions at the LHC 3 Collision Parameters :

April 23, 2008Workshop on “High energy photon collisions at the LHC 4 Relativistic Colliders SPS RHIC

April 23, 2008Workshop on “High energy photon collisions at the LHC 5 Collisions of Heavy Ions

April 23, 2008Workshop on “High energy photon collisions at the LHC 6 Dirac wave-function of electrons/positrons Electromagnetic vector potential Electromagnetic field tensor

April 23, 2008Workshop on “High energy photon collisions at the LHC 7 Lepton-Pair Production Semi Clasical Action : Free Lagrangian : Interaction Lagrangian :

April 23, 2008Workshop on “High energy photon collisions at the LHC 8 Four Vector Potentials of the Colliding Ions :

April 23, 2008Workshop on “High energy photon collisions at the LHC 9 time Ion 1 Ion 2 Emits photon Pair Production

April 23, 2008Workshop on “High energy photon collisions at the LHC 10 Direct and exchange diagrams :

April 23, 2008Workshop on “High energy photon collisions at the LHC 11 Total Cross Section

April 23, 2008Workshop on “High energy photon collisions at the LHC 12 Scalar part of EM Fields in momentum space of moving heavy ions

April 23, 2008Workshop on “High energy photon collisions at the LHC 13 SPS, γ=10, Au + Au, σ=140 barn RHIC, γ=100, Au + Au, σ=36 kbarn LHC, γ=3400, Au + Au, σ=227 kbarn RHIC, γ=100, Au + Au, σ=83 barn LHC, γ=3400, Au + Au, σ=161 barn Pb + Pb, σ=206 barn Free electron-positron pair production Bound- free electron-positron pair production

April 23, 2008Workshop on “High energy photon collisions at the LHC 14 Impact Parameter Dependence Cross Sections :

April 23, 2008Workshop on “High energy photon collisions at the LHC 15

April 23, 2008Workshop on “High energy photon collisions at the LHC 16

April 23, 2008Workshop on “High energy photon collisions at the LHC 17

April 23, 2008Workshop on “High energy photon collisions at the LHC 18 Two Photon Method : Equivalent Photon Method: M. C. Güçlü, Nucl. Phys. A, Vol. 668, (2000)

April 23, 2008Workshop on “High energy photon collisions at the LHC 19

April 23, 2008Workshop on “High energy photon collisions at the LHC 20

April 23, 2008Workshop on “High energy photon collisions at the LHC 21 Born Approximation with Coulomb Corrections R.N.Lee at al, Phys. Rev. A 64, (2001)

April 23, 2008Workshop on “High energy photon collisions at the LHC 22

April 23, 2008Workshop on “High energy photon collisions at the LHC 23

April 23, 2008Workshop on “High energy photon collisions at the LHC 24

April 23, 2008Workshop on “High energy photon collisions at the LHC 25 Small momentum approximation M.C. Güçlü at al. Phys. Rev. A (2005).

April 23, 2008Workshop on “High energy photon collisions at the LHC 26 Experiments at CERN Super Proton Synchroton SPS

April 23, 2008Workshop on “High energy photon collisions at the LHC 27 Energy = 200 A GeV at fixed target frame Measured Cross Section for 1-17 MeV /c positron yield with 25% error for 1-17 MeV /c positron For all positron momenta Vane CR at al. Phys. Rev. A 50:2313 (1994).

April 23, 2008Workshop on “High energy photon collisions at the LHC 28

April 23, 2008Workshop on “High energy photon collisions at the LHC 29

April 23, 2008Workshop on “High energy photon collisions at the LHC 30

April 23, 2008Workshop on “High energy photon collisions at the LHC 31 What about experiments at SOLENOIDAL TRACKER ( STAR ) ? RHIC: Relativistic Heavy Ion Collider Energy =100 GeV/nucleon Au + Au collisions Circumference = 2.4 miles

April 23, 2008Workshop on “High energy photon collisions at the LHC 32 Cross Section of electron-positron pairs accompanied by nuclear dissociation Giant Dipole Resonance

April 23, 2008Workshop on “High energy photon collisions at the LHC 33 Why do we study the reaction ? 1.The test of QED at high fields – are there indications that at the available energies more than two photons are involved in an electron-positron pair creation? 2. Is pair production is independent of photonuclear excitation?

April 23, 2008Workshop on “High energy photon collisions at the LHC 34 No hadronic probability, computed with Woods-Saxon nuclear form factor

April 23, 2008Workshop on “High energy photon collisions at the LHC 35 Probability of mutual Coulomb nuclear excitation with breakup as a function of impact parameter G. Baur at al. Nuclear Physics A 729 (2003)

April 23, 2008Workshop on “High energy photon collisions at the LHC 36 Rapidity: Invariant mass: Transverse momentum : Kinematic restrictions at STAR experiment Adams J. At al. Phys. Rev. A 63: (2004)

April 23, 2008Workshop on “High energy photon collisions at the LHC 37 Results: Baur at al. : σ = 1.9 mb

April 23, 2008Workshop on “High energy photon collisions at the LHC 38 Adams J. At al. Phys. Rev. A 63: (2004)

April 23, 2008Workshop on “High energy photon collisions at the LHC 39 Adams J. At al. Phys. Rev. A 63: (2004)

April 23, 2008Workshop on “High energy photon collisions at the LHC 40 FAIR - Facility for Antiproton and Ion Research Completed in 2015 Cost : 1.2 billion Euro QED Strong Fields Ion -Matter Interactions

April 23, 2008Workshop on “High energy photon collisions at the LHC 41 CONCLUSIONS: 1. We have obtained impact parameter dependence of lepton-pair production probability by using the semi-classical two photon method. 2. At SPS and RHIC energies, Monte Carlo QED calculations agree well with the experimantal results. 3. Can we use this method to calculate the production of other particles such as mesons, heavy leptons, may be Higgs particles ? 4. Can RHIC be used to test QED? 5. Cross section for bound-free pair production is very large and this will limit the maximum Pb-Pb luminosity at the LHC. Therefore we should understand these QED effects to a high degree of accuracy.