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Beam impact on collimator materials: Studies
for LHC by Kurchatov Institute
A.I.Ryazanov*, E.V.Semenov*, O.A.Kozlova*, A.V.Stepakov*,
R.Assmann**, A.Ferrari**, R.Schmidt**
*Russian Research Centre “ Kurchatov Institute”,
123182, Moscow, Kurchatov Sq.1, Russia
**CERN CH-1211 GENEVE 23, Switzerland
5 September, CERN, Geneva
Aims of Investigations:
•
Development of theoretical models of radiation damage formation in collimator
materials for LHC: Cu and C under 7 TeV proton beam irradiation taking into
account elastic and inelastic collisions, ionization, electronic excitation,
physical properties of materials and nuclear data obtained from FLUKA
program.
•
Calculations of radiation damage: point defects, cascades and subcascades in
collimator materials: Cu and graphite irradiated by a 7 TeV proton beam taking
into account elastic and inelastic collisions, electronic excitation and energy
transfer from electronic subsystem to ionic one in these materials.
•
Development of theoretical models and calculations of shock wave formation
and propagation in collimator materials for LHC: Cu and C under irradiation by
a 7 TeV proton beam taking into account ionization processes from secondary
particles, energy deposition to electronic subsystem and energy transfer from
electronic subsystem to ionic one in these materials including using nonlinear
physical properties of materials and nuclear data from FLUKA program.
5 September, CERN, Geneva
Development of theoretical models for the calculations of
radiation damage near 7 TeV proton beam in LHC
collimator materials.
Materials:
• Copper
• Graphite
Physical Processes:
• Production of fission products and secondary particles under
irradiation of collimator materials by 7 TeV proton beam.
• Electronic excitation of electronic subsystem of materials
• Elastic and inelastic collisions in materials
• Production of PKA energy spectrum and point radiation defects
• Cascade and subcascade formation
• Electron-phonon coupling in materials
5 September, CERN, Geneva
Theoretical Model of Point Defects Production
Cross Section for Point Defect Production
 d (E  )    i 
dпЃі
PKA
dE
i
пЃЎ i is the yield of i type of fission product,
пЃ® i (E )
(E, E пЃў )
dпЃі
PKA
(E, E пЃў )
dE
is the cascade function NRT-standard:
пЃ® i ( E ) пЂЅ 0.8
Tˆi ( E ) 
32 пѓ¦ m e пѓ¶
k пЂЅ
пѓ§
пѓ·
3пЃ° пѓЁ M T пѓё
1/ 2
( Ai пЂ« AT )
Ai
3/2
(Z i
3/2
2/3
пЃ® i ( E ) dE
is the cross-section of energy
transfer (E) to recoil atom,
Tˆi ( E )
2 Ed
E
1 пЂ« k (3.4008 пЃҐ i
Zi
2/3
пЂ« ZT
ZT
2/3
)
1/ 6
1/ 2
3/4
пЃҐi пЂЅ
пЂ« 0.40244 пЃҐ i
AT E
3/4
пЂ« пЃҐi)
( Ai пЂ« AT ) Z i Z T e
a 0 (9пЃ° / 128)
2
a
2
aпЂЅ
(Zi
2/3
пЂ« ZT
1/ 3
2 / 3 1/ 2
)
is the Bohr radius; Z i and Z T are the charges of recoil and target atoms;
Ai and AT are the mass number of recoil and target atoms,
m e and e are the mass and charge of electron, E d is the threshold energy
a0
5 September, CERN, Geneva
Differential cross-section of energy transfer to PKA in graphite
for nuclear product with Z = 1 at different proton energies
5 September, CERN, Geneva
Differential cross-section of energy transfer to PKA in graphite
for nuclear product with Z = 2 at different proton energies
5 September, CERN, Geneva
Differential cross-section of energy transfer to PKA in graphite
for nuclear product with Z = 3 at different proton energies
5 September, CERN, Geneva
Differential cross-section of energy transfer to PKA in graphite
for nuclear product with Z = 4 at different proton energies
5 September, CERN, Geneva
Differential cross-section of energy transfer to PKA in graphite
for nuclear product with Z = 5 at different proton energies
5 September, CERN, Geneva
Differential cross-section of energy transfer to PKA in graphite
for nuclear product with Z = 6 at different proton energies
5 September, CERN, Geneva
Displacement Cross Section in C for different fission product (z)
5 September, CERN, Geneva
Energy Spectrum of Secondary protons in Graphite on different
distances near 7 TeV proton beam
5 September, CERN, Geneva
Displacement Generation Rate for Point Defects in C near
7 TeV Proton Beam per one Bunch due to Secondary
Protons on L=8 cm
5 September, CERN, Geneva
Displacement Cross Section in C for different fission products (z)
5 September, CERN, Geneva
Neutron Energy Spectrum in Graphite near 7 TeV proton beam
5 September, CERN, Geneva
Displacement Generation Rate for Point Defects in C near
7 TeV Proton Beam per one bunch on L=8 cm
1 bunch = 1.1*10E11 pr., П„ =26 ns
5 September, CERN, Geneva
Energy deposition per 7 TeV proton in copper
as a function of the depth into target and
radial coordinate.
In following numerical calculations: the interval between two bunches
is 25 ns; the length of one bunch is 0.5 ns.
5 September, CERN, Geneva
Summary
•
•
•
Theoretical models and computer tools are
developed for the investigations of radiation
damage:
point defects,
cascades and sub-cascades,
shock wave formation
in collimator materials for LHC: Cu and
Graphite under 7 TeV proton beam irradiation,
taking into account electronic excitation, energy
loss, elastic and inelastic collisions in materials
induced by interaction of 7 TeV proton beam
with collimator materials obtained from
FLUKA program.
5 September, CERN, Geneva
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