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Lepton Pair Production Accompanied by Giant Dipole Resonance at RHIC and LHC

Lepton Pair Production Accompanied by Giant Dipole Resonance at RHIC and LHC. M. C. Güçlü and M. Y. Şengül İstanbul Technical University . Particle production from E M Fields. * Lepton- pair production * Beam Lifetime ( ele c tron capture and nuclear dissociation )

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Lepton Pair Production Accompanied by Giant Dipole Resonance at RHIC and LHC

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  1. Lepton Pair Production Accompanied by Giant Dipole Resonance at RHIC and LHC M. C. Güçlü and M. Y. Şengül İstanbul Technical University Winter Park - Colorado

  2. Particle production from EMFields * Lepton-pair production * Beam Lifetime (electroncapture and nuclear dissociation) * Detector background * Impact parameter dependence * Test of QED at high fields 31/03/ 2006

  3. Collisions of Heavy Ions Winter Park - Colorado

  4. Particle production from EMFields Large number of free lepton-pair production Winter Park - Colorado

  5. Particle production from EMFields Bound-free electron– positron pair production) Winter Park - Colorado

  6. Particle production from EMFields Nuclear dissociation (Giant Dipole Resonance) Winter Park - Colorado

  7. Collision Parameters : Winter Park - Colorado

  8. QED Lagrangian : Electromagnetic four vector potential Electromagnetic field tensor Winter Park - Colorado

  9. Lepton-Pair Production Semi Classical Action : Free Lagrangian : Interaction Lagrangian : Winter Park - Colorado

  10. Total Cross Section for Free Pair Production Winter Park - Colorado

  11. Scalar part of EM Fields in momentum space of moving heavy ions; Amplitude Tkq relates the intermediate-photon lines to the outgoing-fermion lines Winter Park - Colorado

  12. Free electron-positron pair production SPS , γ=10, Au + Au , σ=140 barn RHIC, γ=100, Au + Au , σ=36 kbarn LHC, γ=3400, Pb + Pb , σ=227 kbarn Winter Park - Colorado

  13. Electron Capture Process Winter Park - Colorado

  14. Positron Wave-Function is the distortion (correction term) due to the large charge of the ion. Winter Park - Colorado

  15. Distorted wave-functionfor the captured-electron Winter Park - Colorado

  16. Using the positron and the captured electron wave-functions, direct term of the Feynman diagram can be written as: Winter Park - Colorado

  17. Having the amplitudes for the direct and crossed diagram, the cross section for BFPP is; Winter Park - Colorado

  18. Total Cross Section for Bound-Free Pair Production Impact parameter dependence probability for Bound-Free Pair Production Winter Park - Colorado

  19. Bound- free electron-positron pair production RHIC, γ=100, Au + Au , σ=83 barn LHC, γ=3400, Au + Au , σ=161 barn Pb + Pb, σ=206 barn Winter Park - Colorado

  20. FIG.2: BFPP cross sections for two different systems as functions of the nuclear charge Z [8]. Winter Park - Colorado

  21. FIG.3: BFPP cross sections for two different systems (Au+Au-dashed line and Pb+Pb-solid line) as functions of the [8]. Winter Park - Colorado

  22. FIG.4:The differential cross section as function of the transverse momentum of the produced positrons [8]. Winter Park - Colorado

  23. FIG.5: The differential cross section as function of the longitudinal momentum of the produced positrons [8]. Winter Park - Colorado

  24. FIG.6: The differential cross section as function of the energy of the produced positrons [8] . Winter Park - Colorado

  25. FIG.7: The differential cross section is shown as function of the rapidity [8]. Winter Park - Colorado

  26. What about experiments at SOLENOIDAL TRACKER ( STAR ) ? RHIC: Relativistic Heavy Ion Collider Energy =100 GeV/nucleon Au + Au collisions Winter Park - Colorado

  27. Cross Section of electron-positron pairs accompanied by nuclear dissociation Giant Dipole Resonance Winter Park - Colorado

  28. The total cross section of electron-positron pair production with giant dipole resonance the probability of electron-positron pair production the probability of a simultaneous nuclear excitation as a function of impact parameter[9]. Winter Park - Colorado

  29. Kinematic restrictions at STAR experiment Rapidity: Invariant mass: Transverse momentum : Adams J. At al. Phys. Rev. A 63:031902 (2004) Winter Park - Colorado

  30. Results: Şengül, M. Y., Güçlü, M. C., and Fritzsche, S., 2009, Phys. Rev. A 80, 042711 Winter Park - Colorado

  31. BOUND-FREE ELECTRON-POSITRON PAIR PRODUCTION with GIANT DIPOLE RESONANCE the probability of electron-positron pair production the probability of a simultaneous nuclear excitation as a function of impact parameter

  32. INTEGRATED CROSS SECTIONS FOR GOLD-GOLD COLLISIONS AT RHIC ENERGIES AND FOR LEAD-LEAD COLLISIONS AT LHC ENERGIES FOR FREE AND BOUND-FREE PAIR PRODUCTION

  33. Şengul, M. Y., and Güçlü, M. C., 2011, Phys. Rev. C ,83,014902. FIG.8: The probability of positron pair production with (a) gold beams at RHIC and (b) lead beams at the LHC as a function of b with XnXn (dashed line) and 1n1n (dotted line) and without nuclear excitation [11]. Winter Park - Colorado

  34. FIG.9: The differential cross section as function of energy of the produced positrons is shown in the graph (a) for RHIC and (b) for LHC. And the differential cross section is shown as function of the longitudinal momentum of the produced positrons in the graph (a) for RHIC and (b) for LHC [11]. Winter Park - Colorado

  35. FIG.10: The differential cross section as function of transverse momentum of the produced positrons is shown in the graph (a) for RHIC and (b) for LHC. And the differential cross section is shown as function of the rapidity of the produced positrons in the graph (a) for RHIC and (b) for LHC [11]. Winter Park - Colorado

  36. CONCLUSIONS: 1. We have obtained impact parameter dependence of free-free and bound-free electron-positron pair production cross section by using the semi-classical two photonmethod. 2. Our calculations agree well with the other calculations shown at references. 3. We have also obtained cross sections as a function of rapidity, transverse momentum and longitudinal momentum of produced positrons and compered with the STAR experiment. 4. We can repeat the similar calculation for the FAIR energies. 5. Can we use this method to calculate the production of other particles such as mesons, heavy leptons, may be Higgs particles ? Winter Park - Colorado

  37. REFERENCES: 1) C.A. Bertulani and G. Baur, Phys. Rep. 163, 299 (1988). 2) M.J. Rhoades-Brown, C. Bottcher and M.R. Strayer, Phys. Rev. A 40, 2831 (1989). 3) A.J. Baltz, M.J. Rhoades-Brown and J. Weneser, Phys. Rev. A 50, 4842 (1994). 4) C.A. Bertulani and D. Dolci, Nucl. Phys. A 683, 635(2001). 5) V.B.Berestetskii, E.M. Lifshitz and L.P. Pitaevskii, Relativistic Quantum Field Theory (Pergamon Press, NewYork, 1979). 6) J. Eichler and W.E. Meyerhof, Relativistic Atomic Collisions (Academic Press, California, 1995). 7) H. Meier, Z. Halabuka, K. Hencken, D. Trautmann and G. Baur, Phys. Rev. A 63, 032713 (2001). 8)Şengül, M. Y., Güçlü, M. C., and Fritzsche, S., 2009, Phys. Rev. A 80, 042711. 9) K. Hencken, G. Baur, D. Trautmann, Phys. Rev. C 69, 054902 (2004). 10) M.C. Güçlü, M.Y. Şengül, Progress in Part. and Nucl. Phys. 59, 383 (2007). 11)Şengul, M. Y., and Güçlü, M. C., 2011, Phys. Rev. C ,83,014902. Winter Park - Colorado

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