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A.I.Ryazanov , E.V.Semenov and A.Ferrari

National Research Centre” Kurchatov Institute”. European Organization for Nuclear Research. DPA calculations in irradiated graphite collimator materials under 7 TeV and 450 GeV proton beams. A.I.Ryazanov , E.V.Semenov and A.Ferrari. 0 6 .03.2015, CERN , Geneva , Switzerland.

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A.I.Ryazanov , E.V.Semenov and A.Ferrari

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  1. National Research Centre” Kurchatov Institute” European Organization for Nuclear Research DPA calculations in irradiated graphite collimator materials under 7TeV and 450 GeV proton beams A.I.Ryazanov, E.V.Semenov and A.Ferrari 06.03.2015, CERN, Geneva, Switzerland

  2. Energy flux of secondary protons formed in graphite at different distances along the beam of 7 TeV protons 2 06.03.2015, CERN, Geneva, Switzerland

  3. Energy flux of secondary electrons formed in graphite at different distances along the beam of 7 TeV protons 3 06.03.2015, CERN, Geneva, Switzerland

  4. Energy flux of secondary charged pi-mesons formed in graphite at different distances along the beam of 7 TeV protons 4 06.03.2015, CERN, Geneva, Switzerland

  5. Cumulative energy flux of secondary neutrons formed in graphite at different distances along the beam 7 TeV protons 5 06.03.2015, CERN, Geneva, Switzerland

  6. Displacement cross-section - Differential cross-section of secondary particles (neutrons and others) with kinetic energy E to interact with target graphite atom, that will have energy T. ν (T) is the cascade function (number of collisions created by primary knock-on atom with energy T), i is the index of summation over various nuclear reaction channels. 6 06.03.2015, CERN, Geneva, Switzerland

  7. 06.03.2015, CERN, Geneva, Switzerland

  8. Cascade function -displacement energy, - Bohr radius, and are atomic masses of incident and target atoms, respectively, and are atomic numbers of incident and target atoms, respectively, 8 06.03.2015, CERN, Geneva, Switzerland

  9. The crystal structure of graphite showing theABAB stacking sequence of graphene planes in whichthe carbon atoms have threefold coordination. The value of Edlies between 24 and 60 eV. (Ed =25eV) 06.03.2015, CERN, Geneva, Switzerland

  10. Differential cross-section of electrons and charged pions McKinley and Feshbach formula for low-Z materials 10 06.03.2015, CERN, Geneva, Switzerland

  11. Displacement cross-section of secondary neutronsformed in graphite under 7 TeV proton beam irradiation 11 06.03.2015, CERN, Geneva, Switzerland

  12. Displacement generation rate of point defect production Gd = np is the total number of protons in a bunch(1.1*1011), τ is the time gap between bunches (26 ns), Ф(Е) is the energy spectrum of secondary particles having energy E and interacting with graphite atoms, σd (E) is the cross section of defect formation with the secondary particle energy E. 12 06.03.2015, CERN, Geneva, Switzerland

  13. Displacement rate of DPA produced by secondary protons at different distances along the beam of 7 TeV protons per each bunch 13 06.03.2015, CERN, Geneva, Switzerland

  14. Displacement rate of DPA produced by secondary pions at different distances along the beam of 7 TeV protons per each bunch 14 06.03.2015, CERN, Geneva, Switzerland

  15. Displacement rate of DPA produced by secondary neutrons under 7 TeV proton beam irradiation per each bunch 15 06.03.2015, CERN, Geneva, Switzerland

  16. The spectrum of pions (π-) produced in graphite at different distances along the beam of 450 GeV protons (FLUKA) 16 06.03.2015, CERN, Geneva, Switzerland

  17. Displacement cross sections for secondary pions with energies up to 450 GeV in graphite 17 06.03.2015, CERN, Geneva, Switzerland

  18. Cross section of defect formation for secondaryπ–mesons in graphite near 450 GeV proton beam

  19. Generation rate of primary radiation point defects (DPA) in graphite versus energy of pions at different distances along the beam of 450 GeV protons per each bunch 19 06.03.2015, CERN, Geneva, Switzerland

  20. The spectrum of secondary relativistic electrons produced in graphite at different distances along the beam of 450 GeV protons (FLUKA) 20 06.03.2015, CERN, Geneva, Switzerland

  21. Displacement cross sections for secondary electrons with energies up to 450 GeV in graphite 21 06.03.2015, CERN, Geneva, Switzerland

  22. Generation rate of primary radiation point defects (DPA) in graphite versus energy of secondary electrons at different distances along the beam of 450 GeV protons per each bunch 22 06.03.2015, CERN, Geneva, Switzerland

  23. Energy spectra of secondary neutrons formed as a resultof interaction of 450 GeV proton beam with graphitealong beam axis 23 06.03.2015, CERN, Geneva, Switzerland

  24. Generation rate of point defect formation (DPA) under irradiation by secondary neutrons along axis of 450 GeV proton beam 24 06.03.2015, CERN, Geneva, Switzerland

  25. Conclusion • Maximum of displacement rates for 7 TeV protons correspond to the following secondary particles: • Protons – 0.012 dpa/s per proton bunch • Pions – 0.11 dpa/s per proton bunch • Neutrons – 0.018 dpa/s per proton bunch • Maximum of displacement rates for 450 GeV protons correspond to the following secondary particles: • Electrons – 4e-3 dpa/s per proton bunch • Pions – 4.3e-3 dpa/s per proton bunch • Neutrons – 4e-3 dpa/s per proton bunch 25 06.03.2015, CERN, Geneva, Switzerland

  26. Thank you very much for your attention!

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