1

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: shulga@kipt.kharkov.ua

2

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

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

44

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

5

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 !

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

77

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

88

Radiation on two plates

N. Bondarenco, N. Shul’ga. Channeling-2014 (poster)

TSF(2L)

TSF(L)TSF(L)

LL

99

Radiation on two plates

(qualitative picture)

“half-bare electron”

v3v2

v1

e-- destruction

e-- creation

10

Coherent Radiation in ultrathin crystal

lcoh

L

lcoh

L

N.Shul’ga, S.Shul’ga, Phys. Lett. A378 (2014) 3074

(Report on Channeling-2014)

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

1212

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

13

32eff cl !!!

Radiation in Coulomb field of relativistic particle

22

2

U r

z vt

22cl

eff cl

U rr

14

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

15

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

16

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

1717

),()(),()(),( ' 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

1818

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

1919

IONIZATION ENERGY LOSSES

BY HALF-BARE ELECTRON

medium vacuum plate,2/ pIL

N. Shul’ga, S. Trofymenko, Phys. Lett. A, 2012

2020

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!

21

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/

22

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

23

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, …)