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Electromagnetic Processes at High-Energies
with “Half-Bare” Particles
N.F.Shul’ga
Akhiezer Institute for Theoretical Physics of NSC KIPT,
Kharkov, Ukraine
Capri, Italy 2014.
N.F.Shul’ga
Akhiezer Institute for Theoretical Physics of NSC KIPT,
Kharkov, Ukraine
e-mail: [email protected]
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CONTEXT
•“Half-bare” electron
•TSF-effect
•Radiation on two plates
•CB in ultra thin crystal
•CB at beam-beam collision
•Transition radiation
•Ionization energy losses
•Another processes
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3
2
24 e r r t
t
2 2, , 0v
er t t
z vt
1
1
1
3
20
1 1, Re
2
, ,
i k kv tikv tikr ikt
rett
v v
e d k er t e e e
k kv k kv
t r r t r t r t
1 2
1 2 ct k kv v l
For 50 , 1 , 200cMeV cm l m
E.Feinberg JETP 50(1966)202, A. Akhiezer, N.Shul’ga, S.Fomin Sov.Phys.Usp. 30(1987)197
Phys.Lett.A 114(1986)148
Evolution of electromagnetic field
at electron’s scattering
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Radiation in thin target (TSF-effect)
2 2
2
2
2 22
2 2
2 2 1ln 1 1
1
2
3 3ln
BH
BH
dE e
d
Ee
E
2
dE
d
2 2 1
BH
suppression of
radiation
L
F. Ternovskii, JETF 1960, N. Shul’ga, S. Fomin JETP Lett. 1978, 1996
0 L
cl L
22cl L
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Suppression of radiation by relativistic electrons in a thin layer of matter
(TSF effect)
Predicted at KIPT - 1978 - N.F.Shul’ga, S.P.Fomin, JETP Letters, 27(1978)126.
Confirmed at CERN - 2009 - H.D.Thomsen et al., Physics Letters B 672 (2009) 323.
H.D.Thomsen et al., Physical Review D 81 (2010) 052003.
CERN NA63 SPS E = 149 GeVA.S.Fomin, S.P.Fomin, N.F.Shul’ga
Nuovo Cimento (2011)
U. Uggerhøj : … we have seen the half - bare electron !
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66
Radiation on two plates
R. Blankenbecler
Phys. Rev. D55 (1997) 2441
V.Baier, V.Katkov
Phys. Rev. D60 (1999) 071802
exp ... exp ...
qualitative theory
2
2 2
2?
1c
s
l
0 L 0 L
cl L
1v 3v
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Radiation on two platesN. Bondarenco, N. Shul’ga arxiv: 1406.7269v.1 27.07.2014: Phys. Rev. D 2014
22( )
2
( )
4 1 ( )
i t nr tdE e d tdt e
d d dt nr t
v
22
21 3224
idE ed n J n J e
d
1 221
1 21 1J
n n
v v
v v
2 1 21t t n v
0 L 0 L
cl L
1v 3v
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Radiation on two plates
N. Bondarenco, N. Shul’ga. Channeling-2014 (poster)
TSF(2L)
TSF(L)TSF(L)
LL
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99
Radiation on two plates
(qualitative picture)
“half-bare electron”
v3v2
v1
e-- destruction
e-- creation
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Coherent Radiation in ultrathin crystal
lcoh
L
lcoh
L
N.Shul’ga, S.Shul’ga, Phys. Lett. A378 (2014) 3074
(Report on Channeling-2014)
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1111
CB and suppression of CB in ultrathin crystal
1 cdG
A d
0,0 5,0x103
1,0x104
0
1
2
3
4
5
GBH
G
L, Angstroms
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CB and suppression of CB in ultrathin crystalN.Shul’ga, S.Shul’ga, Phys. Lett. A378 (2014) 3074
c
BH
d d
d d
0,0 2,0x104
4,0x104
6,0x104
8,0x104
1,0x105
0
20
40
60
80
100
L, Angstroms
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32eff cl !!!
Radiation in Coulomb field of relativistic particle
22
2
U r
z vt
22cl
eff cl
U rr
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Coherent radiation at electron-beam collision
2B
B
dEN
d
I. Ginzburg, G. Kotkin, S. Polityko, V. Serbo
Phys. Lett. B286 (1992) 395
Phys. Rev. E51 (1995) 2493
0 L
cl
e
2
1BN e
c
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Coherent radiation in crystal and at electron
collision with a short bunch
N. Shul’ga, D. Tyutyunnik, JEPT Lett. 78(2003)700., Proc. of SPIE, v. 5974(2005)60.
22N
Ne
crystal atomic string
T FR
bunch
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Suppression of coherent radiation
(analog of LPM-effect)
2 2
2
2
2 2 1ln 1 1 ,
1
NdE e
d
N. Shul’ga, D. Tyutyunnik. JETP Lett. 78 (2003) 700.
NiM B227 (2005) 152
ε=5 Gev, L=0.1 cm, ρ=0.01 cm, N=1010, 24 50 ,c kev
L 1N
2
N
62
2 2
224 ln
N
eN
mdE
dNe
em
1N
1N
22N
Ne
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),()(),()(),( ' trrttrtrtr vv
The total field for : 0t
Transition radiation by "half-bare" electron
A. Akhiezer, N. Shul’ga High Energy Electrodynamics in Matter, 1996
N. Shul’ga, V. Syshchenko, S. Shul’ga // Phys. Lett. A, 2009
Bremsstrahlung Transition radiation
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Transition radiation by
“torn away” field :
222
2
2
2
e
dod
d
does not depend on0z
220
222
2
2
2
2
'cos12
ze
dod
d
Transition radiation in wave zone by electron with nonequilibrium field :
N.Shul’ga, S. Trofymenko, V. Syshchenko JETP Lett., 93 (2011) 1
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IONIZATION ENERGY LOSSES
BY HALF-BARE ELECTRON
medium vacuum plate,2/ pIL
N. Shul’ga, S. Trofymenko, Phys. Lett. A, 2012
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Fermi
Bethe-Bloch
Bethe-Bloch + radiation
1z
1z
I/2
At GeV100
102
I
dz
d
e
v
p
22
2
Ω
p
q
0ln
I
vq 0ln
I
v
I
vq p lnln 0
IONIZATION ENERGY LOSSES
BY HALF-BARE ELECTRON
(from Fermi to Bethe-Bloch formula)
meters!
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Ionization energy losses of e+e- pairunder conditions of CERN experiment (Phys.Rev.Lett., 2008)
Proposal for CERN (N. Shul’ga, S. Trofymenko, Phys.Lett. 2013)
0log 2
log 10
log 3
log 10
log 4
log 10
log 5
log 10
log 6
log 10
log 7
log 10
log 8
log 10
log 9
log 101
log 20
log 10
log 30
log 10
log 50
log 10
log 60
log 10
log 70
log 10
log 80
log 10
log 90
log 102
0.5
1
100101
5.0
1
)(GeV
1 2/
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ze
e
1zz
vacuum
0z
medium
s
Anti-Chudakov effectProposal for CERN and DESY (N. Shul’ga, S. Trofymenko, Phys.Lett. 2013)
I/2
dzd /
1z
se
e
E
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CONCLUSIONS
•Evolution in space and time
•High energy wave packets
•Suppression of pair production (“half-bare” photons)
•Ionization energy losses of e+e--pair (S. Trofymenko et al.
Report on Channeling 2014)
•Anti-Chudakov effect
•Transition radiation experiments (G. Naumenko et al.)
•Measurement of electron field at large (~ 1 meter) orthogonal
distances (A. Calcaterra et al. Frascati, arXiv 2012)
•Processes with high energy particles (quark-gluon plasma, …)