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1 A.I.Ryazanov, E.V.Semenov and A.Ferrari DPA calculations in irradiated graphite collimator materials under 7 TeV and 450 GeV proton beams 06.03.2015,

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Presentation on theme: "1 A.I.Ryazanov, E.V.Semenov and A.Ferrari DPA calculations in irradiated graphite collimator materials under 7 TeV and 450 GeV proton beams 06.03.2015,"— Presentation transcript:

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

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

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

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

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

6 6 Displacement cross-section 06.03.2015, CERN, Geneva, Switzerland - 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.

7 06.03.2015, CERN, Geneva, Switzerland

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

9 The crystal structure of graphite showing the ABAB stacking sequence of graphene planes in which the carbon atoms have three fold coordination. 06.03.2015, CERN, Geneva, Switzerland The value of E d lies between 24 and 60 eV. (E d =25eV)

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

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

12 12 Displacement generation rate of point defect production 06.03.2015, CERN, Geneva, Switzerland G d = n p is the total number of protons in a bunch(1.1*10 11 ), 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, σ d (E) is the cross section of defect formation with the secondary particle energy E.

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

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

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

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

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

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

19 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 06.03.2015, CERN, Geneva, Switzerland

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

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

22 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 06.03.2015, CERN, Geneva, Switzerland

23 23 Energy spectra of secondary neutrons formed as a result of interaction of 450 GeV proton beam with graphite along beam axis 06.03.2015, CERN, Geneva, Switzerland

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

25 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

26 26 Thank you very much for your attention! Thank you very much for your attention!


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